• [deleted]

Dear Paul,

Thanks for essay. You are right - the physics can't be without logic! The realistic science must to be based on 3 points - experiment, logic and quantitative analyze. I am going apprised your work as hight. Please to check and apprise mine essay,

link text

in which you can find acknowledgment to your viewpoint.

Best wishes

  • [deleted]

Dear Friend

Don't forget please impartially evaluate my essay

If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is [math]R_1 [/math] and [math]N_1 [/math] was the quantity of people which gave you ratings. Then you have [math]S_1=R_1 N_1 [/math] of points. After it anyone give you [math]dS [/math] of points so you have [math]S_2=S_1+ dS [/math] of points and [math]N_2=N_1+1 [/math] is the common quantity of the people which gave you ratings. At the same time you will have [math]S_2=R_2 N_2 [/math] of points. From here, if you want to be R2 > R1 there must be: [math]S_2/ N_2>S_1/ N_1 [/math] or [math] (S_1+ dS) / (N_1+1) >S_1/ N_1 [/math] or [math] dS >S_1/ N_1 =R_1[/math] In other words if you want to increase rating of anyone you must give him more points [math]dS [/math] then the participant`s rating [math]R_1 [/math] was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process. I hope the FQXI community will change the rating process.

Sergey Fedosin

    Sergey

    I have a much simpler view. The rating of an essay should be on the basis of its accordance with facts and the extent to which it, correctly, reveals new information. I am not sure that the views of other contestants, for a number of somewhat obvious reasons, can correlate with this. The whole process should be left to an panel of independent and knowledgeable individuals.

    For my part for example, having gone on holiday, which is what most people do at this time of year, I neither now have the time, nor the enthusiasm, to delve through what had since become hundreds of essays. No form of meaningful exchange can take place with that many possibilities.

    Paul

    I am concerned about anybody who does make the effort to read my submission, 'wasting their time'when a better version is available. So here are the first 22 paras rewritten.

    The Logic of Physical Reality

    Introduction

    1 By establishing how, generically, physical existence is detected and must occur, a set of principles which underpins physics can be derived. Despite being the basis for any objective explanation of reality, these have not been defined formally, and when the subject is addressed, it tends to be characterised as philosophy, not physics. But reality, as in its independently detectable form, physically occurs, it is not an abstract concept, and its detection involves a discernable physical process.

    2 Without such pre-conditions, which are determined by the fundamental nature of reality, theories can reflect their own beliefs, which can result in flaws, the apparent ability to substantiate an alternative existence, or the assertion that no preconceptions were deployed. The latter, while seeming intellectually valid, is unachievable since we are part of reality. Therefore, the issue for science is that any assumptions or representational devices utilised, must correspond with existent phenomena as independently manifest, and not reflect metaphysical conceptualisations thereof.

    The logical absolute and physical reality

    3 Any form of existence invokes the logical possibility of the alternative, (ie if A, there is always the logical possibility of not-A). But as this is inherently undetectable because we cannot transcend our own existence, and only has the status of a logical possibility anyway, it is irrelevant to any objective explanation of our physical reality. That analysis must involve only what is directly (or circumstantially) knowable (ie not belief or assertion), and is dependent solely on the sensory systems, since these mechanisms render information about reality available to us. Objective knowledge being conceptualisation abstracted from that which corresponds with that reality.

    4 Since they exist, these sensory processes are closed systems. But they enable objectivity within that inescapable confine of physical existence, as that occurs independently of them. The senses receive physically existent phenomena (albeit the results of interactions between other existent phenomena, which is what is usually being referred to as reality), which are processed, thereby creating knowledge of reality, not reality. The sensory processes can have no influence on existence.

    5 All this reflects the function of these processes, which evolved to enable awareness of reality, utilising certain physically existent phenomena. And is demonstrated by the fact that, irrespective of understanding, any given organism does not affect action which indicates that it was unaware of any given form of physical existence; unless its sensory systems are incapable of detecting it as their evolution did not involve it, or there is a flaw with that particular individual capability. Also, evidence shows that once certain aspects of the sensory process are discounted (eg individual sensory capabilities, specific prevailing physical conditions, and attributed meanings), all sentient organisms receive similar physical input from the same existent circumstance.

    6 Dependence on sensory detection does not imply that objective knowledge must be limited to validated direct experience. Because there are known physical problems with those processes, ie instances where sensory detection either cannot be effected, or at least not completely accurately and/or comprehensively. In those circumstances, what occurred must be hypothesised, but still be based on, and assessment of consequent outcomes referenced to, validated direct experience, ie indirect experiential validation must be substantiated by direct experience. The crucial difference being what, while not directly validatable, is properly inferred from direct experience, and what is based on no substantiated experienceability (ie is belief/ assertion). In practice, as knowledge becomes complex and its derivation further removed from direct experience, the more likely it is that these will become conflated.

    7 So, reality, for us, comprises those physically existent phenomena which are potentially sensorially detectable by any organism, and the existent phenomena which caused them. The caveat of potentiality referring to physical, not metaphysical, issues with the mechanics of the sensory processes.

    8 Put the other way around, if we were endowed with all possible types of sensory system, and the processes functioned so that every detail was available, received, and processed, without alteration, then what was received by any given individual would be known objectively. Differences due to the varying physical circumstances of each recipient could then be reconciled, and what must have occurred originally inferred, based on knowledge as to how the phenomena involved behave physically.

    The nature of physical existence

    9 The scope of this analysis ceases immediately before a physical phenomenon is received by a sensory organ. That is, it is not concerned with the biological, physiological, psychological, etc, aspects of the sensory processes, nor sociological issues around meaning. Though to comprehend fully the entire sensory process, and hence facilitate the proper identification of reality, these need to be understood.

    10 Apart from general complexity, the core analytical problems revolve around the following: that what is received by the sensory systems is only the result of an interaction between other phenomena, that this is then processed, and that that is effected by individuals. Thus objective knowledge has to be extricated from information which could have undergone several alterations, and that requires validated reverse-engineering, and cross-referencing to counteract individualism.

    11 The generic analysis of our physical reality starts with two knowns: 1) existence is independent of sensory detection, 2) difference occurs. This means that physical existence must be sequence, and therefore only one physically existent state (ie a reality) can exist at a time, because for the successor to occur, its predecessor must cease. Furthermore, such states must occur in a definitive form, and cannot entail any form of change because that would involve more than one state.

    12 It is comparison of these states which reveals difference. So change is concerned with how realities differ, not an attribute of any given reality. It is not existent, and neither is the difference. Only physically existent states are existent. Logically, it comprises: 1) substance (ie what changed), 2) order (ie the sequence of differences), 3) frequency (ie the rate at which change occurred). The latter being established by comparing numbers of changes occurring over the same duration. This could involve realities in any sequence (including different aspects of the same sequence), and have either occurred concurrently, or otherwise. This is timing.

    13 Identification of any given physically existent state (a reality) involves establishing what existed at a point in time. The ultimate unit in the timing measuring system being that which equates with the duration elapsed whilst the fastest alteration in reality occurs. An analogy would be the identification of the still frames which comprise a film. Though in practice there must be significant doubt whether any reality could be deconstructed to this existential level.

    14 Apart from sheer complexity, another factor which tends to obscure the actual nature of reality, and hence its understanding, is the way it is often conceptualised, which is ontologically incorrect. This may be an understandable reaction to practicalities, but that does not justify the reification of misconceptions. Generally, certain superficial physical traits are deemed to constitute any given 'it'. That is then considered to remain in existence, albeit with changes to 'it', until at least some of those defining characteristics are no longer manifest. However, this depicts physical reality at a higher level than what exists, though it could be a correct conception at that level. So there just appears to be less change than there is, resulting in the illusion of a level of persistence to existence which does not physically occur.

    15 Furthermore, there can be a tendency to accept certain types of phenomena as being substantive, ie having some form of physical presence, while denying that for others. But there must always be physicality, there cannot be a circumstance where a phenomenon is deemed to have some form of physical presence, but not have some form of physical existence. Which means that the fact that there can only be one physically existent state at a time, in any given sequence, applies universally, ie any physical occurrence must be an existent state in a sequence of such states.

    16 The above relates to the confusion between what constitutes the elementary substance of physical reality, and what constitutes a physically existent state, ie what is reality as at any given point in time. Often these are assumed to be the same, but they are not. Given that there is an independent physical existence, which alters, then it must comprise elementary substances, albeit probably different types. However, these are not reality, because physical existence involves alteration, and by definition, elementary substances as such do not change. What does change is their innate properties. Therefore, a physically existent state is a function of the condition of the properties of the elementary parts which comprise reality, at any given point in time.

    17 There is no physically existent state commonly referred to as the future. It does not exist. Any concept which involves the notion of change to it, or that it can have some physical influence, is incorrect, because there is nothing in existence to affect, nor anything to invoke an effect. The notion of changing the future is properly expressed as the situation where a physically existent state occurred which is different to what which would otherwise have done so, had the causal factors been different. But this is meaningless physically, as by definition, any given state is a function of certain previously existent states.

    18 Neither does the physically existent state commonly known as the past exist. It did have physical existence, unlike the future, but must have ceased to do so in order that the subsequent (ie current) reality occurs. There is only ever one physically existent state occurring at a time, in respect of any given sequence. In colloquial terms, only a present exists.

    19 None of this should be confused with the sensory process whereby reality is detected. In that context, representations of any given reality, from the perspective of the sensory systems, exist as physically existent phenomena in themselves (eg light, noise, vibration, etc). One of their features being that their physical state, again from the perspective of the sensory systems at least, remains unchanged (or nearly so). In this circumstance, apart from other potential differences between these phenomena and the reality they represent, there is a timing delay. The point in time at which existence occurred being earlier than that at which sensory reception occurred, but that does not affect the former.

    20 So notions such as oscillation, reaction, feedback, etc, are ontologically incorrect, unless they are expressed properly in terms of a sequence of occurrences. At most there is just a repetition of a previously physically existent state as the sequence progresses, but this is still different because it occurred separately. Although even that is likely to be superficial, ie due to the level of conceptualisation (but possibly correct at that level). Physically, it is probably impossible that a configuration of any given physically existent state, in its entirety, will re-occur.

    21 Furthermore, the cause of any given physically existent state must be from amongst other previous such states which, when existent, were adjacent both spatially, and sequentially, to that which subsequently occurred. Because influence cannot 'jump' physical circumstance. Any given physically existent state cannot potentially be the cause of its successor, if it is spatially remote from where that successor occurred, or if it is not the immediate predecessor in the sequence of occurrence.

    22 It is probably always going to be impossible for humans to identify the precise physical constitution of any discrete physically existent state, especially if it involves any degree of complexity. Similarly, with respect to differentiating the precise physical interrelationship of cause in any given circumstance which involves some degree of complexity. However, this is a 'failure' in human capability, and the issue should not be attributed to innate characteristics in reality.

    • [deleted]

    Paul,

    Hi. I like your way of thinking because it gets down to real fundamentals like existent states, changes/alterations, sequences of events, etc. I think sometimes people argue too much about what exactly everything is made of at the most fundamental level; that is, is it a it information?, is it a causal set?, is it a "quantum fluctuation"?, is it a mathematical construct of some type (if so, which one?)?, etc. Instead, I think it may be more fruitful to just say that there is a fundamental existent state, and it doesn't matter if that state is called a bit of information, a causal set, or whatever? Then, as I think you have done in your essay, and I've also tried to do in my thinking, use logic to deduce how that fundamental state would behave and see if you can build a model that explains reality and can eventually make testable predictions. I think this bottup-up way of thinking, which in the last FQXi essay contest I called philosophical engineering, is the way to go. Anyways, while I don't agree with all of your conclusions, I think your way of thinking is excellent, and my vote on your essay will be fairly high.

    I posted some similar reasoning over on the essay by Olaf Dreyer and have copied it below if you're interested. I'd be interested in your thoughts on my essay and on my thinking at my website:

    sites.google.com/site/ralphthewebsite

    Anyways, nice essay and good luck!

    Roger

    From my comments on Olaf Dreyer's essay:

    My reasoning would be something like:

    1. In thinking about the question "Why is there something rather than nothing?", I've come to the conclusion that there is a fundamental existent state, and it doesn't matter if this state is called matter, energy, something, nothing, quantum fluctuation, mathematical construct, causal set, etc.

    2. Because our universe has more than one existent state in it, this initial state must have had some way of replicating itself to create more states, which would then be able to create yet more states, thus leading to a big bang-like expansion of space and volume that we call the universe. Thus, our universe, our existence, is made of an expanding sea, or set, of existent states.

    3. Because we have movement in our universe, there must have been some mechanism for allowing these existent states to change and transfer this change to adjacent states, in the form of energy. Since we're talking about the physical universe, the existent states would have to be three-dimensional states, and the most basic way I can think of for a 3D existent state to change would be a change, or deformation, in its shape which it can somehow transfer to adjacent states.

    4. Because our universe is made of these existent states, everything we see around us, must be excitations within, or of, these states.

    To postulate that in addition to the fundamental existent state there is something (e.g., matter) totally different that's "sitting on", as you mentioned, this sea of states, doesn't make much sense. If we really want a unified theory of everything, it makes sense to me that there would be excitations within a sea, or set, of replicas of the fundamental existent state. You can't get much more unified than that, I don't think.

    If you're interested, my model for how the above might happen based on proposed solutions to the questions of "Why do things exist?" and "Why is there something rather than nothing?" was the subject of my last FQXi essay from the last contest and is at my website at:

    https://sites.google.com/site/ralphthewebsite/filecabinet

    /why-things-exist-something-nothing

    You could also try the main site at https://sites.google.com/site/ralphthewebsite

    and click on the third link.

      Roger

      Thanks, hopefully you read my post above, as although it does not convey anything different, it is expressed better.

      Below I will comment only on what is written here, and then go elsewhere.

      1 In respect of your general first paragraph:

      Yes, the whole point of my paper is to deconstruct, generically, physical existence on the basis of two fundamental questions: a) how is it detected, b) how can what is detected (or potentially could be if the detection systems were perfect) occur. That delineates the boundary as to what we can and cannot know (directly or indirectly), and hence what we are examining, and how information about it is created.

      No, one needs to differentiate: reality from a representation thereof (aka light, noise-though they are a reality in themselves), the existential state of reality from a conceptualised state, what constitutes the substance of reality from a physically existent state thereof, reality from information about reality, information from objective information, and whether a representational device (word, maths, graphics) corresponds with experienced reality or is based on assertion (albeit the construct can be internally rational).

      2 In respect of your copied comments on Olaf Dreyer's essay (which I have not read but will do-afraid I went on holiday in August, as many do, and came back to be overwhelmed by the number of additional essays submitted):

      ""Why is there something rather than nothing?" While I do not know the context of this, this question, as such, is irrelevant to an objective explanation of the physical reality we can know of. The simple fact is that there is something, it is only detectable by the sensory systems, but it occurs independently of them. So, within the closed system of existence, we can establish, objectively, what exists, and why, etc. Any attempt to transcend existence (which is not the same as compensating for issues in the sensory systems) is belief and assertion, not science.

      "Because our universe has more than one existent state in it". Careful, it depends what constitutes a sequence. If the sequence is the entirety of reality, then at any given point in time it is in one physically existent state, ie a form of physical existence which involves no change (because if there is change there must be more than one state). But within that entirety there are countless sequences, normally we refer to them as 'things'. It is like the still in a film. I do not like the concept universe, really we can only refer to physical existence. And the point about Big Bang, is that knowledge eventually reaches that boundary where experience is not possible (even if it is hypothesis as, obviously, direct experience cannot be effected). We then cannot know. We can postulate that Big Bang, or whatever, repeats, but that is not a solution. The point being that there can be no objective solution.

      "allowing these existent states to change and transfer this change to adjacent states". It is not really a case of 'allowing', neither is it the existent state, but the 'substance', which is in a physically existent state and has innate properties. Neither, leaving aside the concept of transfer, are the states adjacent. They do not exist, yet. Intrinsic change &/or an interaction with other concurrent adjacent states results in a different configuration , the former having ceased to exist.

      Anyway, I think the best thing to do now is to have a cup of coffee and then look at the various references.

      Paul

      Roger

      I take it you do not have an essay in the current competition? The comments below relate to your previous essay, Why do things exist?, as on the 'ralph' website. Following the sequence of the essay, but without referring to it, and only picking up the main points (otherwise this post is going to be 20 pages long!):

      1 What exists are the physical phenomena which have the potential to be detected by the sensory systems (which includes allowing for known imperfections in the mechanics of those systems) and the phenomena which must have existed to cause those, but do not exist in a detectable form.

      2 Physical existence may be something else, but we (and all sentient organisms) are part of it, so can only know of it in its detectable form. Considerations outwith experienceable (or proven potentiality thereof) reality are irrelevant.

      3 'Things' tend to be conceptualised at a level which is much higher than how existence occurs, ie certain overt superficial features are used to delineate a 'thing'. While this can be correct at that level, ontologically it is incorrect. Furthermore, there is a tendency to confuse the substance of physical existence and its existent state, the latter being what exists.

      4 All the processes in the sensory systems which occur upon and after the receipt of a physically existent phenomenon by any sensory organ are irrelevant. They have no effect on physical existence, because that occurred independently of these systems. The output from sensory detection is knowledge of reality, not reality. Any real difference between what was received by individual recipients is a function of the different physical circumstances of those individuals vis a vis the reality.

      5 Sensory systems can only detect 'something', but there is the logical possibility of the existence of nothing (ie not-something). Which would be space in the proper sense of the word, as opposed to something which is of a different form from other somethings, but is still something (see my recent exchange in Nature of Space: Vasilyeva), As with anything else, proof thereof awaits validated experienceability, not an assertion based on metaphysical conceptualisation.

      6 Spatially, physical existence does not have just three dimensions. That is just the minimum which can be conceived of at the highest possible level, ie side to side (width), back and forth (depth), up and down (height). In its existential form, physical existence has far more dimensions, which are definable. Yet again, this is a confusion between the consequences of conceiving existence at a simpler level and what actually occurs.

      7 Physical existence must have a definitive physically existent state at any point in time (which implies both specificness and not involving any change) for it to occur and alter. It must also comprise elementary substances (probably more than one type) ie whatever constitutes physical presence but is not further physically divisible. But, as said above, that must not be confused with what exists, which relates to the state of these.

      Paul

      a month later

      Why Einstein was wrong

      Introduction

      1 The start point is existence. But nothing other than our own existence is knowable, since we cannot transcend it. So we can only know a particular form of existence, ie what is potentially detectable by any sensory processes, as these are what enable awareness. Our reality therefore comprises those existent phenomena which are potentially sensorially detectable by any organism, and the phenomena then proven to have caused them (normally referred to as reality). The caveat of potentiality relates to physical issues with the sensory processes, which means that some aspects of physical existence have to be hypothesised. However, that procedure must remain subservient to validated direct experience, otherwise it will be belief, not knowledge.

      2 That emphasises the importance of first understanding how existence is detected, and then how that (ie our reality) must occur. We know that our form of existence:

      -exists independently of the processes which detect it, ie while awareness is limited to these processes generically, within that sensory systems receive specific input.

      -involves difference, ie what exists alters, as comparison of inputs reveals difference, and therefore that there is change.

      3 Our reality is therefore existential sequence. The entirety of whatever comprises it can only exist within that sequence in one definitive physically existent state at a time, as the predecessor must cease to exist so that the successor can exist. Any such state (ie a physical reality of our reality) could be conceptualised into its constituent states, for example by association with 'things' with the proviso that these are abstract concepts. That is, they result from the differentiation of physical existence at a higher level than the existential, and therefore involve duration and more than one physically existent state in sequence. The differentiation between the substance of physical existence, and its physically existent state at any given time is critical, because it is existent states which need to be identified when defining what physically existed.

      .

      Distance/space/dimension

      4 Distance is solely determined by physically existent states, since it is the difference between them in respect of spatial attributes, and differences do not exist physically. So distance can only involve physically existent states which exist at the same time. It is not possible to establish a distance, as opposed to some form of conceptual spatial relationship, between something which exists and something else which does not.

      5 Therefore, any given distance is always unique, since it reflects a definitive physically existent circumstance at a given time. Notions which relate to the quantification of it in terms of space, or duration, and the comparison of one way with the other, are a fallacy, if they involve the presumption that there could be a difference. Whatever quantification methodology, there can only be one result.

      6 Indeed, any notion of duration in a physically existent state is incorrect, because to be physically existent, by definition, entails no form of change or indefiniteness. Put another way, whatever constitutes the elementary components of physical existence must be in a specific physically existent state at any given time, and cannot be in more than one such state each at that time. Like a film, physical existence only appears to be continuous because of the rate of change. And this is occurring at such a speed that differentiation which could enable identification of a physically existent state is nearly always, if not always, impossible. Leaving aside also identifying other physically existent states which occurred at the same given time. However, any solution to that issue must be based on an understanding of the actual circumstance.

      7 The exception to this is that distance could be conceived as a single example of change, ie a difference. So it can be expressed, conceptually, in terms of duration incurred. The concept being that instead of expressing distance as the fixed spatial quantity which it is, it can alternatively be quantified as the duration which would have been incurred had any given entity been able to travel along it, either way. But it must be understood that there is no duration as such, this is just an alternative to, and the equivalent of, a spatial measure, ie a singular quantity. Failure to understand the absence of elapsed time in a physical reality results in the flawed application of the equation x = vt. Making this mistake reifies change, and hence duration.

      8 In establishing what constitutes dimension, distance and space in our reality, we are using a reference which conceives of any given physical reality being divided into a grid of spatial positions. And the constituent physically existent states have definitive dimension/size/shape (ie spatial footprint), which can be defined as spatial positions 'occupied' at the given time of existence. 'Mapping' other states that were existent at the same given time, would reveal not only both the spatial footprint of those states and their comparability with each other, but also, distance. Which is usually measured between the two nearest dimensions of the existent states, but could include any combination of dimensions. And depending on the spatial relationship of the states involved, distance could involve a relationship in terms of separation of the states, or one within another, that again being with respect to specified dimensions.

      9 Dimension is a specific aspect of spatial footprint, relating to the distance along any possible axis of that 'occupation'. So, three is the minimum number of spatial dimensions that is ontologically correct at the highest level of conceptualisation of any given physical reality. But is not what is physically existent. At that existential level, the number of possible dimensions is half the number of possible directions that the smallest substance in physical existence could travel from any single spatial point.

      The misconception of time and timing (the AB example)

      10 The misconception of time and timing revolved around the incorrect application of local time, and the flawed concept of simultaneity, by Poincaré in particular. Einstein: On the electrodynamics of moving bodies (1905), Section 1 Part 1, Definition of Simultaneity, provides an explanation of the argument, so is used as the reference.

      11 A and B are each attributed a time (local) of existence, ie t(a) and t(b). Either there is a relationship between these timings, or not. If there is a relationship, then there is no timing issue to resolve. If there is no relationship, then nothing further can be discerned from this information, since they are variables defined on the basis of different references with no known relationship.

      12 So there must have been a presumption that the timing devices were synchronised (ie working properly). Which reveals that the actual reference against which all timings are compared is the concept of a constant rate of change (while spatial attributes are referenced to the concept of a spatial grid). Timing devices just 'tell' the time, and are therefore only valid if they are all related to this one reference. This must be so, otherwise there can be no basis upon which to compare timings and progress an analysis. That is, if timing devices are set arbitrarily, and/or are not operating properly, then the time, as 'told', is meaningless. Measuring devices just enable quantification, but that is only valid when it correlates with the single reference for the attribute, which is synchronisation of timing devices, and consistent calibration of spatial devices.

      13 The whole raison d'ĂȘtre of any measuring system is comparison and the identification of difference, which necessitates a reference. Obviously a reference is chosen usually on the basis of its characteristics being commensurate with the role, ie it being the best practical manifestation of the conceptual constant, which in timing is constancy, and rapid, frequency of change. The key point is that once something is used as the reference, then it must be used consistently, so that other results are comparable (ie differences are identified with respect to the same reference). Which means either using the same reference, or ensuring variance is discounted.

      14 By definition then, the timing relationship which supposedly needed to be inferred, ie local times to a common time, was known already. That is, the timing devices were working properly. And presumption of the distance AB meant that A and B must have been existent at the same time, ie t(a) equalled t(b). Alternatively, had the times been different, then A could not have been compared to B, and distance established, because one was non existent.

      15 The comparison of AB to BA, which is unnecessary anyway, is effected in terms of time incurred with consecutive, not concurrent, timings. This is incorrect. Not only is there no duration in a spatial circumstance, even if each duration incurred had been properly understood as just an alternative fixed quantity to a spatial quantity, AB cannot be compared to BA on the basis of subsequent timings. Because any subsequent timing cannot be presumed to relate to AB, as either A and/or B could have ceased to exist. Such measurements can only represent whatever was deemed to constitute A and B, and therefore AB, at the time it was effected. Whether physically existent states, and/or the distance between them, remain the same over time is irrelevant to the quantification of a unique difference which occurred at a given time.

      16 The use of light speed (and the presumption that it was constant) as a method for quantifying distance was not the issue. Neither was the quantification of distance in terms of a conceptual duration incurred, had it been understood. Any method, involving any direction, would suffice, if the calculation had been carried out properly. The error was assuming that physical existence, and hence any artefact dependent thereon, exists over time, rather than only in one existent state at a time.

      Light

      17 Before progressing with the argument, it is necessary to highlight certain fundamental characteristics of light. Light is a physical effect in photons which enables sight. That effect results from an atomic interaction, therefore, unlike in a collision, the start speed of any given light is always the same, and as with any existent phenomenon, it will continue to move at that speed unless impeded. Also, there is a relentless sequence of such interactions, and light travels in all directions. So when reference is made to light, it is usually in respect of many different physically existent phenomena, ie different physically existent lights may be the same from the perspective of recipient observers. Again, there is a danger of simplification resulting in reification and misconceptions. Light as a physically existent state in its own right, and light as in what sensory systems decode upon reception, need to be differentiated. The other consequences of this process are that observers receive, in the context of sight, a photon based representation of any given physically existent state (ie a light reality of reality), and there is always a delay between time of existence, and the time of observation of that existence.

      The misconception of the role of observation

      18 It is argued that the AB example is explainable in terms of observation. So time of existence, and time of observation, were asserted to be the same if whatever existed was in the "immediate proximity". This is correct as an approximation, though would need definition. The issue then was establishing a relationship between two such times when they were not in the "immediate proximity".

      19 But, introducing the differential between timing of existence, and timing of observation of existence, is irrelevant. As before, the timing devices must be synchronised, otherwise these timings are meaningless, and if the distance AB is presumed, then A and B must have existed at the same time. Alternatively, if A and B did not exist at the same time, then there could not be a distance AB to observe.

      20 Therefore, in the context of observation, assuming a simplification of the real conditions, any difference in these times can only be a function of the time delay for light to travel from B to A, or vice versa, and not a reflection of some other variance. That is, again there is no issue to be resolved. The difference in timing is because they were observations of reality, not reality. The simplification of equating timings of existence and observation in the "immediate proximity" is a symptom of the underlying conflation of reality and light reality. Physically, there is always a distance and therefore a delay whilst light travels; and there must always be light in order to observe. Indeed, what was the spatial relationship between the observer and the light as at the time of existence, could alter with respect to the light whilst the light is travelling. Neither is physical existence affected by observation, because it occurred before that, and involved no physical interaction with reality, but with a physically existent representation (from the perspective of the sensory system) of that reality (ie light reality). Constant light speed and no relative motion were presumed, which whilst further complicating calculations, would not affect the logic.

      21 By substituting c for v, ie a specific velocity of a particular entity, c is asserted to be: 2AB/(t'(a) - t(a)). Which is both incorrect as a generic definition, but more importantly, wrong because that time involves duration incurred from subsequent timings, apart from being deemed an elapsed time in both cases anyway, which it is not. Assuming the quantity is doubled, it should be either twice A to B or B to A, or the sum of A to B and B to A incurred at the same time. So it should be, when specifically considering light speed: c = 2AB/2(t(a) - t(b)). Or simply, as considering either direction is superfluous, c = AB/(t(a) - t(b)). Which, although correct, is a statement of the obvious. That is, the velocity of light is a ratio of total distance travelled to the time taken to do so, ie the definition of velocity. Light is just another entity, which can be presumed to travel at a constant speed. But it is not a conceptual constant like rate of change, or spatial grid, its importance is in enabling sight.

      22 The book: 'why does E=mc2' by Cox & Forshaw will now also be used as a reference, as this is a standard and readable exposition of the argument. That is, it is acknowledged that this is a repetition of certain accepted assertions which underpin the argument.

      The train example

      23 In general, the situation is seen as (page 43): "In order for the clock to tick at the same rate as it does when it stands still the light must travel a little bit faster...but... applying Einstein's logic means that the light cannot speed up because the speed of light must be the same to everyone". And later: "...time ticks at different rates depending on how we are moving relative to someone else. In other words, absolute time is not consistent with the notion of a universal light speed".

      24 The issues arising from this general overview are:

      1 Light, as in observation, has been conflated the use of light as the clock beam.

      2 Originally (1905) Einstein correctly postulated that observational light always had the same starting speed, and unless impeded would continue at that speed. [SR is not 1905. It is a hypothetical circumstance with fixed shape bodies, only uniform rectilinear and non-rotary movement, and light which travels in straight lines (unlike 1905 when there was dimension alteration), because there is no gravitational force in SR on either matter or light. The contradictory circumstance was noted by Einstein in 1905 when he stated that the two postulates were "only apparently irreconcilable"].

      3 Existence, and the sensory representation of that existence, have been conflated.

      4 Timing is misconceived. It actually involves quantifying the rate of change, irrespective of type, by comparing the number of changes over the same duration. There can only be one absolute reference for this measuring system. Indeed, the beam is the time reference, which is why it has an independent constant velocity, and should be differentiated from observational light speed, since the only reason they are the 'same' is because of the particular choice of a beam of light as the tick mechanism. Neither is time a timing device, it just 'tells' the time, and must be in accord with the absolute rate of change reference to be valid.

      5 The asserted dichotomy between light speed and rate of change is non existent, light speed is rate of change (timing) in this example.

      25 The example (Fig 2, pages 42-48) involves two mirrors moving at v in parallel on a train, a distance apart. A beam of light is the tick mechanism of a timing device moving independently at a velocity c. The tick being defined as the beam travelling in both directions of the same distance between the mirrors. There is a stationary observer on the train (intrinsic reference) and another one who is stationary but not on the train (extrinsic reference). The aim is to establish the duration of the tick with respect to (wrt) the extrinsic observer, compared to the intrinsic one.

      26 The configuration of this example involves complexity which disguises basic mistakes, since there are two different mirrors travelling in parallel a distance apart, a beam of light which moves independently, and a tick which involves a return. To ensure consistency of referencing the beam velocity will be a constant Vfast (Vf), the mirror velocity Vslow (Vs). These being generic velocities with Vf˃Vs and Vf≀c, where c is a specific (theoretically constant) velocity of a specific entity, ie light.

      26.1 First, even as just an intrinsic reference (ie not an observer), wrt the intrinsic reference the beam is not the return over the vertical, because the beam is independent of the mirrors which move wrt the beam. The beam always travels the transversal, unless the mirrors do not move, ie they are moving backwards at -Vs to counteract the train velocity, or the train is stationary, and the beam is set to travel the perpendicular. This again emphasises the point that the beam is the time reference, ie it is a constant and independent. The mirrors and intrinsic reference are 'of the train', extrinsic reference 'of the earth', as is train movement. Whereas the beam is 'of nothing' because it is a conceptual concept, its manifestation (eg timing device) is irrelevant, so long as it 'tells' the proper time.

      26.2 If two entities moving at different velocities start and finish at the same points, and do so in the same duration, then the faster entity must move laterally more than the other whilst travelling to the finish. The example uses one particular possibility which entails the faster entity (beam) moving over two equal distances, whilst the slower entity (bottom mirror) moves in a direct line, between the start and finish. That lateral shift, which is dependent on the velocities, is: (Vf - Vs)t. An alternative expression of this is that if the entities travel in the same direction, then the slower entity would need a headstart distance of (Vf - Vs)t for both to able to reach the same finish point in the same duration, having started at the same time.

      Since the durations are the same, the ratio of the distance travelled by the faster entity (H, hypotenuse/transversal) to its velocity (Vf), ie H/Vf, is equal to the ratio of the distance travelled by the slower entity (L, lateral) to its velocity (Vs), ie L/Vs. That is, H = (Vf/Vs)L, or L = (Vs/Vf)H.

      In other words, given a specified spatial relationship of the start and finish, a specified configuration for the beam to travel, the requirement for the duration to be the same, and a specified beam velocity (ie Vf = c), then the distance X (which in this example is the distance between the mirrors) cannot be arbitrarily stated. It must remain unknown as X. Otherwise, specifying it, as was done in this example (as 1) solves Vs, ie it can then only have a unique value and is no longer a generic V. Though in the expression of some ratios this does not have an effect, which disguises the error.

      26.3 The other issue arising from this particular configuration is in the context of observation. That is, for the intrinsic reference as an observer, there are two different effects. First, when the beam is moving away from the observer, the half tick incurs a duration of H/Vf. But, subsequently, the light which enables an observation of this will take an additional duration of Z/c to travel back to the observer, wherever that might be, which is dependent on the speed of light. In other words, if there is a difference between the velocities of the beam and observational light, then that light will not travel the same path as the beam. So the duration for observation of the first half of the tick is H/Vf + Z/c. However, return of the beam will happen concurrently with the travel of that light. So, allowing for simplification of the real conditions, the elapsed time for observation of the complete tick is 2H/Vf. Because even if the observer receives observation of the first half of the tick before reaching the finish, for an observation of the second half of the tick, the observer must reach the finish. This again stresses the importance of differentiating observational light from a beam of light which is being used as a tick mechanism, ie this time is as stated, but not the right reasons. That outcome being a function of the tick configuration, and using a beam which travels at the same speed as the light which enables sight.

      The extrinsic observer remains at the start. So observation of the first half of the tick involves the time taken for the beam to travel to the top mirror, H/Vf, plus the time taken for the observational light to return, H/c, ie H/Vf + H/c, which could be less that 2H/Vf if light is faster than the beam. However, again, it is the finish that is critical for elapsed time, and the finish occurs after a duration of 2H/Vf. Then light takes a duration of 2L/c to return to the extrinsic observer, who remains at the start. So the elapsed time for the extrinsic observer of the complete tick is 2H/Vf + 2L/c.

      27 In the example, the following actually occurs:

      1 Time for actual perpendicular tick: 2X/Vf (book states 2/c)

      2 Time for actual transversal tick: 2H/Vf (book states 2ct/c)

      3 Time wrt both intrinsic and extrinsic reference: 2H/Vf ( book states 2/c for intrinsic, ie perpendicular, and 2ct/c for extrinsic, ie transversal)

      4 Time for observation by intrinsic observer: 2H/Vf (book states 2/c, ie same as actual perpendicular)

      5 Time for observation by extrinsic observer: 2H/Vf + 2L/c (book states:2/√(c2 - v2).

      28 The tick being a return masks certain effects, the times for a half tick are:

      1 Actual perpendicular: X/Vf

      2 Actual transversal: H/Vf (or L/Vs)

      3 Intrinsic observer observation: H/Vf (or L/Vs) + Z/c

      4 Extrinsic observer observation: H/Vf (or L/Vs) + H/c

      This reveals the effect that: transversal/perpendicular = H/X, and that the duration of an observation takes Z/c longer if the observer moves in parallel and thereby maintains a perpendicular relationship with the top mirror, but then maintains momentum. The observer who remains stationary has an observation time which is wrt the actual, a longer duration of H/c.

      29 Ratio of transversal to vertical tick time: H/X. This is Îł.

      Book derives: 1/√(1 - v2/c2) from: (Vft)2 = X2 + (Vst)2, ie t = X√(Vf2 - Vs2).

      But as explained at para 26.2 above, H and V are in a mathematical relationship which therefore determines the relationship between H and X:

      t = H/Vf = L/Vs, so: H = (Vf/Vs)L, or L = (Vs/Vf)H and (H)2 = L2 + (X)2

      So: X = L√[(Vf)2/(Vs)2- 1] = H√[1 - (Vs)2/Vf)2].

      Therefore: H/X = H/{H√[1 - (Vs)2/(Vf)2]}, which is 1/√[1 - (Vs)2/Vf)2], which is γ.

      30 From consideration of the half tick only, which is ultimately what t relates to, γ is immediately apparent. Especially if what constitutes the actual (and differentiates perpendicular from transversal) and what constitutes observation, and for whom, is properly analysed. Deeming X as 1 fixes the value of V, but this has no effect from the perspective of γ. That set of conditions results in γ being expressed as: 1/√(1 - v2/c2). The proper expression of γ is:1/√(1-V(lateral)2/V(transversal)2) or just H/X, ie transversal/perpendicular.

      31 The point is not about intrinsic vrs extrinsic reference, or observation, the pre-conditions determine the ratios. The hypotenuse (H) and the lateral (L) sides of a triangle depicting the event represent constant velocities which start at points vertically above each other, ie distance X, and must reach the same point after the same duration. The shortest time possible is over is X, ie the perpendicular, but this is when the mirrors do not move wrt the beam, ie L = 0. Otherwise, in all other cases, and as defined in the example, the transversal, ie the distance travelled by the beam, is greater than the vertical by a factor which reflects the relationship between the two velocities. The two extremes being when V = 0 (ie Vf involves perpendicular travel), or when Vf = Vs (ie both continue to travel in parallel and there is no transversal).

      32 So the time taken for "someone sitting on the train next to the clock" is not 2/c because "for them the light simply travels 2 meters at a speed c" (page 48), neither as a reference nor an obsever, because the beam velocity is independent, and the mirrors move wrt it. 2/c, or more precisely, 2X/Vf is the actual time incurred when the mirrors do not move wrt the beam. The beam is not 'of the train', it has an independent velocity wrt everything since it is time. By definition, the time taken for the tick wrt to both intrinsic and extrinsic references is the same, one just stays at the start, the other moves to the finish. Neither, is 2/c the time taken for observation of "someone sitting". Neither is the time taken for a complete tick wrt the extrinsic reference, as a reference, the observation time, ie "as determined by someone on the platform". That takes longer (2L/c) because the observational light has to return.

      33 The configuration of the tick, ie involving a return, the deeming of X as 1 for simplicity, and the deeming of Vf as c, which is the same speed as observational light, disguises the mistakes. That is, the conflation of beam and light, and the failure to understand that the beam velocity is independent because it represents time. This is self perpetuating in that the underlying misconceptions result in the configuration and its flawed analysis based on those misconceptions, proves the incorrect presumptions.

      34 This is not the clock "running slow". Neither is it a function of observation. It is just because of the extra distance that the entity with the faster velocity must travel, as the velocity of the slower entity increases wrt to the faster velocity, starting with a base reference of zero (the perpendicular). Whilst in observation, the determinant is the spatial relationship between the observer and the finish, at the time of the finish. In addition to any distance moved after that, and the direction thereof, wrt light.

      35 The commonality of Îł, and reification of observation, ie the involvement of c, rather than a proper generic time constant (though dimension alteration may occur as the result of force applied) is illustrated by:

      - Einstein (1916 Section 12): "It therefore follows that the length of a rigid metre-rod moving in the direction of its length with a velocity v is √(1-v2/c2) of a metre. The rigid rod is thus shorter when in motion than when at rest, and the more quickly it is moving, the shorter is the rod". [&] "As judged from K, the clock is moving with the velocity v; as judged from this reference-body, the time which elapses between two strokes of the clock is not one second, but 1/ √(1-v2/c2) seconds, ie a somewhat larger time. As a consequence of its motion the clock goes more slowly than when at rest".

      36 Comparison of a tick without a return, in linear travel, reveals:

      36.1 Actuality: a tick incurs a duration of X/Vf, where X equals the distance travelled during each tick, ie Vst + (Vf-Vs)t.

      36.2 Observation wrt intrinsic observer: the time taken for an observation is the sum of the time taken for the event, plus the time taken for the observational light to return over the distance from where the event finished to the intrinsic observer, who in the meantime continues to move. Total distance moved by the intrinsic observer is: distance moved by the time the occurrence happened, ie Vst, plus distance then moved before observational light returns, ie: [Vs/(c + Vs)][(Vf -Vs)t]. The total duration is: time taken for the tick, plus time taken for observational light to return to the moving observer, ie t + {[c/(c + Vs)][(Vf -Vs)t]}/c.

      36.3 Observation wrt extrinsic observer: the time taken for an observation is the sum of the time taken for the event, plus the time taken for the observational light to return from where the event finished to the extrinsic observer, who remains stationary.

      That is: t + Vft/c.

      36.4 The point being that, in the simplest of terms, the relationship between an event and observation of that event is a function of the original distance (X) between the event and observer, ie at the time of the event, and then the relationship between the two velocities, ie light (c) and observer (v), and whether they are moving towards or away from each other.

      Moving away: for light and observer to arrive at same point over the same duration, observer has headstart distance of (c-v)t (ie X), then v travels distance of vt

      Moving towards each other: light takes [c/(c + v)] of total time or total distance (ie X), or observer [v/(c + v)] of total time or total distance (ie X)

      37 In both cases of observation the increment is constant, ie it is a per t increase in the duration. This is because the velocities, whilst different, remain constant. However, if one or both of these velocities is altering, then an optical illusion occurs with the observed rate of change (ie a sequence of ticks):

      There is always a delay between time of physical existence, and time of observation of that existence, as light has to travel. The duration will vary as a function of the distance involved, and the speed at which any given light travels (or is presumed to do so). Assuming a constancy of light speed for the sake of simplicity, then the perceived (ie received) rate of change of any given sequence will remain the same, so long as the relative spatial position of whatever is involved remains constant. But, when relative distance is altering (ie there is changing relative movement), then the perceived (ie received) rate of change alters, because the delay is ever increasing (or decreasing) at a rate which depends on the rate at which the distances are altering. To the observer this gives the impression that the rate of change is slowing/speeding up, over time, but is an optical illusion, as the actual rate of change does not alter.

      38 [Note: The recipient observer will be in a different physically existent state from that when existence occurred, so too will light. But this is irrelevant, because the physically existent state of the observer is not relevant, and the characteristic of light that resulted in its use in the evolution of sight in the first place is that fundamentally, from the perspective of the recipient sensory system, it varies very little, if at all, over time. Whether light has a rate of change which is equivalent/faster/slower than reality is another issue. And unless there was a particular form of interference, then the perceived (ie received) order of sequence will never vary from what occurred].

      The Einstein version of the train

      39 The key point here is that the beam is not observational light, and its speed is independent and constant because it is the time reference. So the same mistake was made by Einstein (or more precisely, everybody is replicating the same mistake, which probably originates with Poincaré. Apart from a more general underlying failure to understand the nature of physical existence). Einstein 1916, section 7: "It is obvious that we can here apply the consideration of the previous section, since the ray of light plays the part of the man walking along relatively to the carriage". Actually, it is obvious that this is incorrect. The man is, in terms of referencing, 'of the train', because he is on it and therefore has any velocity it has, in combination with any he may generate by walking, when that velocity is then compared wrt a stationary extrinsic reference, ie one not 'of the train'.

      40 Whereas the ray of light was independent. Einstein defined it as such: "We shall imagine the air above it to have been removed. If a ray of light be sent along the embankment, we see from the above that the tip of the ray will be transmitted with the velocity c relative to the embankment". The reference here is "the above", not 'of the earth', nor 'of the embankment', but a conceptual position, ie the same as deeming a beam of light as the timing device mechanism. That is, an independent time reference. After describing the 'man on train' form of this example in the previous section (6), Einstein incorrectly concludes: "We shall see later that this result, which expresses the theorem of the addition of velocities employed in classical mechanics, cannot be maintained; in other words, the law that we have just written down does not hold in reality. For the time being, however, we shall assume its correctness".

      41 This is not some form of deficiency in classical mechanics, but the result of a mistake with references, which itself reflects an underlying problem with the reification of change, and the attributation of this variance to timing differences in reality which is rationalised with the conflation of reality, and light reality. The latter being a separate existent reality based on light, and since there is always a delay as observational light travels, then there are potentially timing differences between existence and various observations of that existence.

      42 Nothing is physically altering as a result of observation, ie timing devices are not ticking at different rates, nobody is aging faster, etc, etc. Observation is just that, observation. Physical existence occurs independently of that, before observation, and is dependent on interaction with a light based representation of reality anyway. For example: page 43: "applying Einstein's logic means that light cannot speed up because the speed of light must be the same to everyone. This has the disturbing consequence that the moving clock must genuinely take longer to tick, simply because the light has farther to travel, from the perspective of the person on the platform". "From the perspective" are the key words if translated as referring to observation, "genuinely" being redundant, and "disturbing" reveals misunderstanding.

      The circular argument for spacetime

      43 The next step is seen as calculating 'distance' between existent and non existent (previously existent) physical states, ie their supposed spatial separation in terms of a combination of physical distance and elapsed time. That is, their distance in spacetime. But physical distance over time is a contradiction, by definition. Something cannot be a distance from something else when they do not exist at the same time. So really the question is: can physically existent states which existed at different times be compared in terms of some conceptual relative spatial position? That involves consideration of the concept of a spatial grid, as explained in para 8.

      44 A key error is revealed on page 74: "...because they are not of the same type of quantity. We can, however, convert distances into times and vice versa if we use the equation...v = xt...distance and time can be interchanged using something that has the currency of a speed. Let us therefore introduce a calibrating speed; call it c". This is only correct if, as explained in para 7, it is understood that it is not actually duration. And whilst it is explicitly stated that this velocity could represent anything, in fact it represents light speed, by virtue of the conflation of reality and light reality in the ensuing analysis. Indeed, the next sentence gives an example of light years. The issue was seen as best resolved by assuming homogeneity. Distance is Euclidean, and in order to "add time" the presumption is made that "our spacetime is unchanging and the same everywhere".

      45 So the 'distance' in terms of a combination of space and time, known as s, was therefore deemed to be the hypotenuse of an imaginary triangle relating the two entities, with physical distance and elapsed time representing the other sides. Hence the two possibilities were: s2 = (ct) 2 + x2 or s2 = (ct) 2 - x2. The decision on which option is correct is based on causality, which is correct as such, in that effect must exist after cause. The 'negative' option was therefore chosen. This issue is with the presumptions and the analysis.

      46 The argument is circular, because (page 89) it is asserted in relation to an examination of causality that: "Nothing can travel faster than c because if it did it could be used to transmit information that could violate the principle of cause and effect". And hence "we have finally managed to interpret the speed c: It is the cosmic speed limit". Then: "No matter how two different observers are moving, they must always measure c to be the same." and "The speed c is beginning to look a lot like another special speed we have encountered in this book: the speed of light, but we haven't proved the connection yet". And: "Certainly the existence of a universal speed limit offers promise, especially if we can interpret it as the speed of light".

      47 But the assertion about 'nothing can travel faster' is incorrect. Because if there is something which can travel faster than light, it is irrelevant, as by definition, it is not the information transmitter. In respect of sight, evolution has utilised light, an effect in photons, as the information transmitter.

      48 This presumption is only true in the context of a light based experience (eg sight) of physical existence, it is not necessarily true of physical existence. Since it is light that is enabling that experience, its speed and other innate properties impinge upon what is observable, and how that occurs. In other words, physical existence is not defined by light, observation of physical existence is. So the conflation of reality and light reality results in c, as in light speed, being seen as proven to be the constant, whereas it is just an inevitable outcome of the flawed analysis.

      49 More generally, this applies to all phenomena involved in transmitting information to the sensory systems. They are physically existent, ie have intrinsic physical properties, so it has to be assumed until proven otherwise, that these could impinge upon their ability to fulfil this acquired sensory function. That results in potential practical problems which could arise in effecting direct sensory detection. That is, leaving aside the capabilities of the sensory systems to process what is received (both in terms of generic and individual capability), there are three types of issue:

      -non receipt: eg no recipient sentient organism was in the line of travel of the effect, or it ceased to exist en route due to interaction with another existent phenomenon first, or it has not yet reached any known organism. Another possibility is that the reality has a property which does not interact with the phenomena involved, ie nothing is generated as a result of the interaction.

      -alteration: the effect has been altered in some way, en route, ie it is not in its original state when received. This could involve delay, distortion, partial elimination, diversion from the original line of travel, etc.

      -deficiency: this could revolve around the occurrences within any given physically existent state being too much, or too small, or changes being too frequent, or some properties not detectable, etc, so the physical phenomena involved cannot cope, ie they are unable to properly differentiate all that existed.

      50 Unless proven to the contrary, it must not be assumed that what is received by the sensory systems, which is not the reality anyway, is an entirely accurate, and/or comprehensive, representation of that reality. It is only the result of a physical interaction, which sensory systems have evolved to take advantage of, thereby enabling awareness of reality to organisms. Whether any given recipient sensory system could process all that information, if it is, or could be, available, is another issue. Sensory systems evolved to enhance survival, not analyse reality.

      51 So, the argument is circular, and incorrect. The final part of this being a reference back to the apparent effect on time with moving clocks. Which is also incorrect. But the proof is seen in the fact that (page 91): "the [derived] enhancement factor is equal to c/√(c2 - v2) or 1/√(1 - v2/c2), which is exactly what we got in the last chapter but only if we interpret c as speed of light...We have deduced the same formula...". With the added statement that: "We didn't even need to give light a special role". The only two presumptions are seen as: an invariant distance between events, and cause and effect are not to be violated. Then it is argued that the speed, and hence distance, through spacetime must be universal and that the variance is in observation, in that time varies with movement. Page 95: "...but there is something special about the motorcyclist's watch, because the motorcyclist does not move relative to himself". And then: "...a moving clock doesn't move so fast through time as a stationary one, which is just another way of saying it ticks more slowly".

      52 Finally, on (page 103): "We haven't proved that c has anything to do with the speed of light yet...in the spacetime way of looking at things, light is not so special...everything hurtles through spacetime at the same speed, c...Light just happens to use up all its spacetime speed quota on motion through space and in doing so travels at the cosmic speed limit: The apparent specialness of light is an artifact of our human tendency to think of time and space as different things" . This is incorrect. In light reality, light speed is the speed limit, but not necessarily in physical reality. Light just enables sight.

      What should happen

      53 There is no distance between physically existent states that exist at a different time. So establishing some form of conceptual spatial relationship entails comparing spatial positions 'occupied' when they did exist. That is, in effect, relating where one of the entities would have been on the spatial grid of the other (para 8 refers). Put simply, calculating where the entities would have been wrt to one another, if the factors which resulted in the variance are discounted (speed, direction, environmental conditions, time elapsed between their respective existences, etc).

      And the rest is history

      52 Page 103: "There is in fact a reason why light is forced to use up its quota [ie spacetime speed] in this way [ie on motion], and this is intimately related to our goal of understanding E=mc2".

      53 A summary of the final phase of the argument is:

      Because change (and hence time) has been reified, Îł is introduced, since Îł is supposedly the factor which accounts for the 'effect of time', and c replaces v, as it is the speed of light, which is by now being deemed as the time constant against which physical existence is referenced. So, the energy that must be conserved becomes Îłmc, instead of mv. Then Îł as 1 + œ(v2/c2) replaces 1/√(1 - v2/c2), as the former is approximately correct for Îł at low values of v. Hence, ymc becomes equivalent to:

      mc + œ( mv2/c). The second part of this quantity, ie œ( mv2/c), being defined as the "time component of the momentum spacetime vector" (page 133). Finally, to derive E=mc2 , this quantity, ie mc + œ( mv2/c), is multiplied by c, as if Îłmc is conserved then so too is Îłmc2, because c is a constant. The resulting energy quantity then becomes more "illuminating" because it is then expressed as: mc2 + œmv2, which is kinetic energy (œmv2), plus mc2.

      Conclusion

      54 The fundamental failure is to presume there is duration in physical existence. This particularly manifests as the expression of distance in terms of elapsed duration, and the concept that what is physically existent involves change, and hence time. That is, a variable is reified. The rationalisation of the consequences of this is effected with the conflation of physical reality and light reality. Thus light, and its speed, becomes attributed with an influence in physical existence which it does not have. Or more precisely, may only coincidentally have, if light speed is the fastest rate of change in physical existence, ie can be deemed to be the absolute timing reference for physical existence. This needs to be proven, without the conflation of physical reality and light reality. Obviously, light and light speed in particular, have the asserted influence in what is observable, because light enables sight.

      Paul Reed © November 2012

      Reference:

      Why does E=mc2 By Brian Cox and Jeff Forshaw, Da Capo Press © 2009