Dear Daryl,

You wrote:

1 "Draw a vertical line and a horizontal line and call them t and x, respectively."

OK, in this x(t) plane I consider an antenna A that emits at t=t_1 a signal for synchronization with antenna B which will be arrive there at t_2. Only the distance matters between the position of A at the moment of emission and the position of B at the moment of arrival.

2 "Now draw the lines t=x and t=-x."

I would like you to first clarify the meaning of x. Well, you meant a line x=ct. I know, you did set c=1. This is not my point. I have objections.

The left part in Fig. 1 of your essay shows a vertical line illustrating the position of A as reference. The distance between A and B is shown to increase with growing time. I reiterate, the absolute positions of A and B do not matter. Only the difference counts. Can we consider the right part of your Fig. 1 equivalent? Does it also show a difference that increases with growing time? You didn't yet specify the point x=0. If x=0 in the right part refers to B, then the negative difference grows.

In the case you referred to below, the line t=-x does not belong to light from A to B.

In general, the line t=-x may be confusing in so far it gives rise to not consequently distinguish between past and future. While the distance in 3D corresponds to the always positive radius, positive and negative x have different meanings.

3 "Now draw another line passing through the origin, rotated 30 degrees to the right of the t-axis. Call that t'. If t=x and t=-x represent the paths of photons through x in t, which both recede from an observer who sits at x=0 with unit velocity, and if the line t' is the world-line of another observer who moves through x in t, then clearly the photon that moves along t=x isn't moving away from this observer as quickly as the one that moves along t=-x. "

Sorry, you did not at all justify the introduction of t'. So far you seem the only one who distinguishes between simultaneity and synchronicity. I tried to show in a previous post that Einstein's synchronization has been based on unjustified application of Poincaré synchronization on the case of relative motion between A and B.

I understand that the line t=x refers to a time axis that is orthogonal to the x-axis. 30 degrees to the right of that axis then means x=0.577c.

You introduced a configuration that is different from what Einstein, your Fig. 1 and I referred to. Now you consider a common emitter (you called it observer) at x=0 and light signals propagating to both sides in vacuum i.e. with c. Your "other observer" who is thought to move with only 0.577c to the right is neither an emitter nor a receiver of a light signal. It does not take part in the transmission of energy.

Wouldn't it be pointless to ascribe a fictitious speed with respect to the two light signals to it? Likewise you could argue that the sum of the velocities of both "photons" equals to 2c.

Unfortunately, I see you not right when you wrote "Time, in the sense of an all-pervading "now" does not exist", even if this is Einstein's doctrine: relativity of simultaneity.

Regards,

Eckard

Dear Eckard

Just to let you know that I have read your well structured and written essay. You raised several interesting issues such as those mentioned above by Edwin. My major motivation in reading your essay was to verify your claim that you have an alternative explanation to the MMX. I read also the endnotes. There I could find some of the comments that you already posted in my entry. As I mentioned in my entry, Lorentz' contraction is not an artifice but it's well justified if one recognizes that bodies are not rigid entities but deform under the action of a force.

You:The velocity of light c equals to the distance d between the position of emitter at the moment of emission and the position of receiver at the moment of detection divided by the time of flight t: c=d/t.

Here, of course, we have to determine the time at the emission and receiving points. In doing so, this will inevitably lead us to the problem of clock synchronization (that you mention in endnote 4), which from my point of view is a dead end given the circular reasoning that emerges when we try to synchronize a clock by determining the one-way speed of light which in turn requires a clock synchronization procedure. The synchronization by slow motion has been extensively studied in the literature and I would not like to discuss it here. I remember that we have already discussed at length this topic.

With respect to endnote 1, I couldn't get what you really mean. It seems that you are suggesting absolute time and denying local times. You suggest negative values for t, which I don't get the physical meaning of negative time. Could you comment on this part please.

Best Regards

Israel

    Eckard

    The fault is in representing both time and spatial position in the same way. And then if you use a triangle, one gets gamma. There is only x (ie space), which occurs in one form at a time. t is the rate at which it alters form and is therefore a different spatial reality. Solving any particular event is a matter of relating the time of each light received to distance travelled (bearing in mind other environmental factors), not the Lorentz transformation.

    Obviously time as an all pervading now exists, reality is the entirety of all physically existent states at a given time. Reality does not exist over time. There is no duration in any given reality. That is why one cannot, from a proper physical perspective, keep on talking about A and B and the distance AB as if it all exists at the same time. There is one physically existent form of A and B, and hence a spatial difference AB at a point in time, ie in a reality. At the next point in time there may well have been alteration. A point in time being the equivalent of whatever alters the fastest in existence, because with that level of differentiation one will identify all alterations (ie realities).

    Paul

    Eckard

    "A and B are merely assumed to increase their distance. It did not matter if they possibly traveled in the same direction. Only their relative motion matters"

    No, it is the distance which matters. If the distance is altering then the rate at which successive lights are received alters, and hence the perceived rate of change varies from the actual rate of change. This can be an outcome of both travelling at the same constant speed, in straight lines, but in different directions, or they are travelling at different speeds in the same direction, or any combination thereof. Put the other way round, the actual and perceived rate of change only remains the same if both are travelling at the same speed in the same direction, ie despite movement the distance remains constant over time, so the delay (duration) whilst light travels remains constant. So the frequency of receipt remains constant and the same as reality. Indeed, both could accelerate/decelerate, so long as they do that simultaneously. Einstein's 'hangup' with inertia was because of his concern about supposed length alteration at different speeds. He was not thinking of actual/perceived rate of change effects.

    Re the Poincaré quote you picked up on. The point here is that he is talking about getting timing devices synchronised with a specific event, given that they are in spatially different locations. In other words, eliminating the effect of the spatial difference. So a timing device has to be set backwards if it is to tell the time of occurrence of a 'distant' event, in order to compensate for the duration incurred whilst the signal travels from that event. This is not how timing works. All timing devices are set to the same point in time and alter at the same rate. So they provide a common reference. Then, obviously, determining when an event occurred depends on calibrating distances and times of receipt of light. There was only one event, it cannot occur at different times. The two points have to be stationary, ie no alteration in distance over time, because of the way he is going about 'synchronising' these devices. Any given event (reality) occurred at a time. Any given other event may or may not have occurred at that same time. That's it, the occurrence of reality has nothing whatsoever to do with observation (ie the receipt of light).

    Einstein picked this up and was meant to be applying it to observation, ie the signal becomes observational light. But he failed, because he had no observational light.

    Re you translation, I seem to be confusing you. In the Introduction, the postulates are defined (as of second sentence second paragraph). The 1923 translation reads:

    "They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good. We will raise this conjecture (the purport of which will hereafter be called the "Principle of Relativity") to the status of a postulate, and also introduce another postulate, which is only apparently irreconcilable with the former, namely..." What did he actually write?

    Paul

    Israel

    If I may jump in. There is no synchronisation problem, neither do timing devices have to be synchronised using light. The whole point of the timing system is that all the devices are 'telling' the same time, ie the reference is a conceptual constant rate of change. The devices themselves are irrelevant, just a means to an end. There is, obviously, a practical problem with getting all devices 'telling' the same time and maintaining it, but that is not what was being considered.

    Timing is not time. The consideration was about occurrence (reality). Now, any given reality only occurs at a specific time, not at different times. There is no such thing as 'local time'. It is the timing of the receipt of lights which were generated as a result of that occurrence, which represent that reality which alter, mainly dependent on spatial position.

    Paul

    Paul,

    You asked what did he [Einstein 1905] actually write?

    "... gelten, wie dies fuer die Groessen erster Ordnung bereits erwiesen ist."

    My translation: "... are valid as this has already been proven for quantities of first order."

    The translation you quoted:

    "... are valid ... as has already been shown to the first order of small quantities" added the interpreter's attempt to further explain what "quantities of first order" refers to: "of small quantities".

    When I read the text for the first time, I also didn't understand "quantities of first order". Einstein refers to the expected for the MMX second order effect, which does not depend on the sign of v.

    I had written "Only their relative motion matters" and meant "Only their RELATIVE motion matters". The absolute distance does also NOT matter. Being short of time, I didn't read what you wrote on perception related questions. Sorry.

    Eckard

    Eckard,

    Sorry to hear of all your tribulations. I consider your essay largely excellent even without considering all those issues and am pleased to report I have it down for a high mark. I really loved your "Wheeler's preposterous idea" comment!

    I'm sorry about the over-literal English in my own essay, too much Shakespeare and Chaucer in my youth! But my essay is too richly constructed to be able to extract the value from in a 'quick scan'. It builds a full ontological construction using orbital angular momentum to show how the stupidities of FTL assumed from Bells' theorem can be dispensed with. That's not an easy task! I do hope you get to read it carefully.

    The blog comments also expand on precisely how the cosine curve is produced at EACH detector, thus reproducing the predictions of QM without spookyness. Your incisive falsification is most welcome. If you like donuts you can perform the experiment very simply yourself!

    (I post this down here for convenience).

    Stay well. And I hope and expect to see you finish higher up the field. Best wishes.

    Peter

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      Eckard

      I really wanted a translation of the second half of that sentence, which in the 1923 version is: "the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good"

      There are lots of references to first/second order. It seems to be associated with this differentiation of effects: Michelson (1887) para 2: "first, the ether is supposed to be at rest except in the interior of transparent media, in which secondly, it is supposed to move with a velocity less than the velocity of the medium in the ratio (n2-1)/ n2, where n is the index of refraction". Hendrik Lorentz (1895) section 1: "Now according to Maxwell, two kinds of deviations from the equilibrium state can exist in this medium. The deviation of first kind, which (among others) can be found in the vicinity of any charged body, we call the dielectric displacement...The second deviation of the equilibrium state of the aether will be determined by the magnetic force... whose applicability we also presuppose for the interior of ponderable matter..."

      There are then a whole host of arguments as to why there was no 'ether effect' and the justification boiled down, effectively, to 'reality occurred at a local time'. Before GR then took over.

      Paul

      Dear Israel,

      The question whether or not there is length contraction due to velocity is not my primary concern. Nonetheless, I consider it an important one. Let me tell you some of my arguments:

      a) As far as I know, such contraction was never measured so far.

      b) FitzGerald and Lorentz might have ad hoc fabricated it in order to rescue Maxwell's aether when they explained Michelson's null result.

      c) Velocity does not cause a force that could deform a body and change its length. Forces belong to accelerations.

      d) To my understanding, velocity of a body as well as kinetic energy is always relative. For instance, in a crush between two cars of equal mass the relative velocity counts. This does not preclude that there is a limit to the velocity between any emitter and belonging receiver and in particular the speed of light.

      e) Length contraction corresponds to Einstein's asymmetrical synchronization.

      You asked for the meaning of negative time. Negative elapsed time is the temporal distance of an expected event from now. Where is the problem?

      I only see a problem in the denial of the now in physics. Well, the laws of physics are invariant under shift and even reversal of time. However, doesn't this merely indicate that the laws alone cannot completely describe the reality?

      Well, I do not see a necessity to operate with different time scales belonging to differently moving relatively to each other bodies. And - despite of the many perhaps pointless discussions you mentioned - I prefer in theory the logically correct synchronization by slow transport of clocks.

      Best regards,

      Eckard

      Paul, Please stop nonsensical quoting. First or just second order refers to the expansion of a function in terms of a power series. Even functions, e.g. the cosine function, do not have odd coefficients. This would mean mirror symmetry wrt v.

      Eckard

      Dear Christian,

      When I wrote "infinitely long rigid bodies (coordinate systems) [21] could ..." my hint to [21] (p. 892) meant that I blame Einstein for having written "The theory to be developed is based on - as every other electrodynamics - the kinematics of the rigid body, because the statements of every theory belong to relationships between rigid bodies (coordinate systems), clocks ...". I agree that no body is strictly rigid, and I wrote could, not can.

      I argued that the non-existence of strictly rigid bodies implied that there are strictly speaking also no coordinate systems which are moving relative to each other.

      Incidentally, did the uncertainty explain the limitation to c? I rather tend to imagine every body elastic.

      Cheers for today,

      Eckard

      • [deleted]

      Eckard

      Whether a body is rigid or not, in the sense meant by Einstein, is to some extent irrelevant. In that rigidity is an attribute over time. That is, a body is only that body once, whenever it exists. At any other point in time, physically it is something else. It might look the same at the higher level we are conceiving it at, but physically there will have been alterations, so it is different. In other words, there is only ever one physically existent state of something , which one could say is rigid, in effect, because there is only one discrete definitive occurrence. Whether subsequent states, which are actually a different something, happen to have the same spatial configuration is another matter.

      Paul

      Eckard

      In ordinary usage, that is what the term means, but it is plainly not what they were referring to. Clearly the argument was not about the level of accuracy to which they worked out an effect, but an allusion to different effects (especially when one follows the point through the various writers over time, and does not just rely on one quote).

      You did not give a translation of the sentence as requested.

      Paul

      Paul,

      He wrote: ... for all coordinate systems for which the mechanical equations are valid, the same electrodynamic and optic equations are also valid ...".

      You will perhaps not find out what is wrong by interpreting texts rather than checking the logic. Einstein correctly excluded that the velocity of light depends on a medium as do e.g. waves in air. He also correctly excluded that it refers to the velocity of the emitter as e.g. does a bullet. He concluded that it must refer to the receiver/observer because nothing other can be involved. I see this an understandable fallacy, see my endnotes.

      According to what Einstein wrote, I can SR only understand as a mistake. This does not yet exclude the admittedly unlikely possibility that Einstein arrived by chance on a correct result although using wrong premises.

      Eckard

      Eckard

      So 'all co-ordinate systems' instead of 'frames of reference'. And the caveat of 'in uniform translatory motion' which is explicit in section 2, is implicit here by virtue of the condition 'for which the mechanical equations are valid'. Because if there was any form of altering motion, caused by a differential in force incurred, then something else happened (supposedly).

      There is no duration in a reality, so x=vt is only conceptual, ie it is expressing distance in terms of duration incurred whilst something travels it, had it been able to. And by substituting c for v, ie a specific velocity for a generic one, c was asserted to be: 2AB/(t'(a) - t(a)). Which was wrong, because that time involved 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 have been 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 have been: c = 2AB/2(t(a) - t(b)). Or simply, as considering either direction is irrelevant, c = AB/(t(a) - t(b)). Which, although correct, is a statement of the obvious. That is, the velocity is a ratio of total distance travelled to the time taken to do so, ie the definition of velocity.

      Their quest was to find something that was an absolute reference against which to calibrate velocity. He did not then conclude that light velocity refers to the observer. He correctly concluded that light always starts at the same velocity, and like anything else, will continue at that velocity unless impinged upon. In other words, light, in ideal circumstances, is the nearest thing to an absolute reference. He failed to differentiate reality from light reality, and did not understand timing. So in effect, ie he did not mean to, he attributed the relativity of receipt of light to an inherent characteristic of reality. That is, contradicting the fact that reality occurs at a specific time. SR (as defined by him) is valid. It is the only circumstance in which the two postulates reconcile, had the second one been about observational light.

      Paul

      Paul,

      Perhaps you do not even know the Kramers-Kronig relations.

      I see myself between e.g. Christian Corda's believe in a block of spacetime and your denial of the existence of past and future. I consider traces of the past existing. That's why I am distinguishing between the measurable elapsed time and the abstracted from it and then extended ordinary notion of time.

      Eckard

      Eckard

      There are a lot of things I have not heard of, but I do not need to, because I am only interested in the generic circumstance.

      There cannot be a block of 'spacetime', unless the 'block' is just the spatial occurrence at one point in time. Which is the reality, but hardly a block. There can be no duration in reality, because whatever constitutes it is altering, and it cannot exist in different states at the same time. So reality is the discrete definitive physically existent state of whatever comprises it at any given time. And reality is what physically occurs, not what we conceive.

      So the real reference for timing would be the fastest rate of alteration which occurs in existence. It might be that ultimately everything is comprised of the same substance and in effect everything, irrespective of its physical manifestation and therefore superficial difference is really (physically) altering (ie being a different reality in a sequence) at the same rate. It might be the opposite. In which case some components could have altered, whilst others have not, in the same timing frame. But one needs to find that out. The point is, physical existence does not occur in accordance with some arbitrary rule we impose for the purposes of discerning it.

      There might be a problem with expression here, because, obviously, the past does not exist. That is why it is called the past. It did exist, but not now. And obviously since it did exist, thee are going to be existent 'traces of it' (like light for example), but this is not the reality, but, as you say, traces of it. Equally obviously, the future is non-existent. That is why it is called the future. It is what will occur as a consequence of what occurs immediately before it. One can only examine reality in terms of what happened at a point in time (though in practical terms we will probably never achieve the level of differentiation required), because that is how it exists. We are mixing up components from different realities and designating them as being of the same one.

      I do not understand your last comment on time. Existence alters, at a rate. This is really what time is. But the important point to recognise there is that an alteration is a difference, ie it is another reality. Difference is difference. There is no time in a reality, it is about a feature of the difference between realities (ie physically existent states). Indeed, I should not refer to this in terms of 'altering', because that confuses the notion of difference. But the entire way in which we conceive existence, and hence the language used, is built on the incorrect concept of 'it changes'. We calibrate this with a timing system which involves the comparison of rates of change.

      Paul

      Dear Christian,

      Didn't Goedel starve and eventually die because of paranoia? I was told he didn't eat because he suspected his nutrition could be poisoned. Sometimes, common sense might be helpful.

      When Einstein was ready to swallow looping time then I see this an indication for his support for claimed usefulness of his own theories. As you wrote he disagreed with the existence of singularities. Didn't he consider them as mere mathematical models?

      When I wrote: "Time scale can be shifted without any restriction" I reiterated what is common use, and I tried to contrast it with measurable elapsed time in a property that is not yet expressed with Kramer's Kronig relations.

      Isn't Hawking's chronology protection conjecture an add-on to what Schulman's textbook claims? Admittedly, I found out that the time-symmetry in the micro-world looks like a simple mathematical mistake, cf. previous essays of mine.

      Cheers,

      Eckard

      Paul,

      While velocity is a difference that can be positive or negative, Lorentzian length contraction does always shorten the length. What did you not understand?

      I share to some extent presentist idea that the very moment is something special. Let me merely add that there one cannot find a state of existence between past and future if time elapses continuously. Practically, we can resolve and measure the time as accurately as required, e.g. in terms of intervals as small as a femtosecond. Virtually any relevant event extends over a huge number of femtoseconds. We can only attribute existence to something with a life time. You did certainly exist before this very moment, and you are expected continuing to exist for a while without noticeable change.

      Please do not get me wrong. I do not attack you personally. I just do not agree with Hilbert's finitism. Euclid defined a point as something that has no parts.

      Eckard

      Peter,

      When I picked up the word preposterous from comments about Wheeler, I largely agreed with the context but did not exactly understand the meaning. My dictionary tells me now:extremely unreasonable and foolish.

      Aren't I myself extremely unreasonable and foolish when I am uttering what virtually every contestant tries to carefully hide?

      Eckard