Daniel

I agree the most pertinent question today is to accurately analyse "objects that constitute a physical system and their evolution in time", and their effects. I have myself applied this and used pattern recognition to find a unification to "meaningfully describe the universe."

Your essay is well written, shows excellent understanding and rejection of the assumptions most students stridently defend. Well done. Certainly a good score is due.

Like Vladimir I am not a mathematician, and have identified a weakness in using algebraic vector space to accurately describe motion with Cartesian systems. Yet I suspect you may love my essay, or at least the relationships you may glean by considering the meaning kinetically. I hope you may also help better rationalise my findings.

Best of luck.

Peter

    Dear Daniel Wagner Fonteles Alves,

    I found your essay on Absolute or Relative motion absolutely fascinating. You do an excellent job of explaining Barbour's work in the context of Mach and show how the question of absolute or relative motion is still worthy of investigation. I recommend Daryl Janzen and Israel Omar Perez's essays for fresh insight on absolute frames of reference and also hope that you find my own essay The Nature of the Wave Function to be relevant.

    For example, my general relativistic approach to quantum mechanics centers on the weak field approximation: curl C ~ -p where p is momentum density and C is defined in my essay. Hence a change change in curl C with time corresponds to a force dp/dt. One might conclude that, if the field is real [it is -- see Gravity Probe B] this implies an absolute frame, otherwise the field [the basis of the QM wave function] could be transformed away. There is also a spin aspect of the circulating field.

    I was also interested in your observation that time cannot be defined without motion of objects. In this sense you might find page 2 my previous essay of interest. It deals with the breaking of perfect symmetry of the original universe, before which the solution is scale-invariant and hence motion-invariant. When the symmetry breaks local vortices appear, the first local cyclical events that give meaning to 'time' in the sense of physical 'clocks'. Before this time is meaningless.

    In short, I find your essay absolutely compelling, partly because it overlaps my interests and relates to aspects of my last two essays. You have certainly shown that the concept of motion is still worth exploring. I would hope that you avoid Tegmark's extreme conclusion that the universe "is mathematics". I see this as a misguided dead end for physicists. Instead, I agree with you that the concept of obervation is crucial, and would draw your attention to new observations from 'weak' (Aharonov-type) quantum mechanical observations [referenced in my current essay].

    Thanks for a stimulating essay and good luck in the contest.

    Edwin Eugene Klingman

      Vladimir

      The path I visualize to find new conceptions of motion is by finding the meaning of our statementes about motion. How can we define time, space, motion and objects? How new definitions may create new physics and known physics? I will read you essay and share some ideas and opinions.

      Best regards.

      Dear Peter

      Thanks for the encouraging comments. I will read your essay soon, and try to find out the relationship between our works.

      Best regards.

      Dear Edwin

      I have now read your essay. First of all, I would like to say that the proposal of deriving QM weirdness from classical physics is an outstading task and that I have not followed all the details of your essay, but there are some questions I´d like to ask here in the interface between our works.

      First, you say that the fact that the C-field has been measured implies an absolute frame. I can´t see how this can be so if the equation of the C-field comes from general relativity which is a background independent theory. The equation curl C= -p is written in a particular reference frame, but if it is a general relativistic equation there should be a basis-independent version.

      For instance, suppose the whole universe is moved 5 meters to the left. Would the C-field procedure be able to show this as an observable information?

      The measurement of any field defined in every space-time point does not entail that there is an absolute frame.

      For example, suppose you have a snapshot of a 3D euclidean space with numbers attached to each point representing the values of a field. Now imagine you have a second snapshot representing the same field after a while, with different numbers. How can we know if the field has changed over time? How do we indentify a point in one snapshot with a point in another? Newtonian´s absolute space was introduced to define an equilocality relation between the 2 snapshots, because otherwise it seems that it would be impossible to define any concept of change in space. But Barbour´s best matching procedure does exactly that without mentioning any kind of invisible absolute structure. So field theories can be made relational according to the definitions presented in my essay.

      Actually, by imposing the metric field to have a relational character, GR is almost uniquely signed out, as Barbour has shown with collaborators.

      I must say that I´m a bit confused by your statement that the measurement of a tensorial field (C) entails the existence of an absolute frame via QM consideratoins. Can you explain it a little more?

      I still have not read your previous essay which has to do with the nature of time, but as soon as I do it I will share some ideas.

      And finally, thank you very much for the encouraging comments- for me, seeing them coming from a scientist like you means a lot.

      Best regards.

      Dear Daniel,

      Thanks for the thought you've put into my essay. In answer to your first question, it is not the fact that the C-field has been measured that implies an absolute frame of reference. Rather, the fact that the field is real seems to imply that its energy cannot be transformed away by transforming to a frame in which velocity is zero. The analogous case for electromagnetic fields varies the 'ratio' of electric to magnetic field according to Lorentz transformation, but it is not clear to me that the same 'tradeoff' applies to the gravito-electric G-field and the gravito-magnetic C-field. I'm still thinking this through, which is why I said "one might conclude...".

      I'm unsure about how to answer your question about 'moving the whole universe 5 meters to the left." I assume that you mean the 'frame' but not the contents of the frame, in which case the inducing particle momentum and circulating field would seem to be displaced to the right by 5 meters, but I am not sure how one performs this experiment or what detection means are available. I do agree that the measurement of any field defined in every space-time point does not entail that there is an absolute frame. It is rather the link between these circulating field points and the inducing local mass flow (that is, between the rotational momentum and the linear momentum) that seems to me to suggest absoluteness. As in the case of shifting the universe 5 meters to the left, I am unsure how one would go about experimentally obtaining the 3D snapshots that identify field points in this situation in such a manner that all local correlations are preserved.

      As I understand it, local mass density is an ill-defined concept in general relativity, while the C-field circulation is induced by the motion of local mass density. So the coupling of this local phenomenon to global GR may be conceptually 'fuzzy'. Your questions focus on measuring 'point's in a field, while the phenomenon in question is a complicated angular flow of field induced by and interacting with a local mass density linear flow. I am still of the opinion that the time derivative of (curl C ~ -p) supports an 'absolute frame' interpretation, but I'm uncertain how to translate this into appropriate 'points' to answer your questions. As I noted in my first comment, you might find support for your essay in a more familiar framework in the essays by Janzen and Perez.

      In recent conversations with others I seem to detect two conceptual frameworks in operation. One is focused on the mathematics, while the other focuses on the physical phenomena. Of course the two should be related, but where the emphasis is placed seems sometime to affect the initial conclusions. This is why I counsel against belief in Tegmark's "Mathematical Universe".

      Thanks again for making the effort to understand how our essays might relate.

      Edwin Eugene Klingman

      Dear Daniel,

      I have read your essay with great interest, especially because it dicusses an unsolved fundamental problem of modern physics: What is the cause of inertia?

      I would like to draw your attention to a point that is often overlooked, but is of great importance with respect to our understanding of motion: The Law of Inertia implies a causal paradox of classical mechanics, which we still do not find resolved in modern physics. This paradox is even scarcely recognized as such.

      In particular, setting the force, which is assumed to be the cause of the change of state of motion, equal to zero, there are still solutions with constant velocity.

      According to the physicist Carl Friedrich von Weiszäcker one avoids the linguistic appearance of a paradox by appropriately calling force not the cause of motion but the cause of acceleration, and letting the state of motion be described by position and velocity (or momentum).

      In brief, this state of motion varies in time although the condition F = 0 is given. In other words, there is no external influence that might be regarded as the cause of this persistent change of state.

      V. Weizsäcker summarizes this as follows: "In contrast to the sensitive causal conscience of Aristotle and the scholastics, who searched for an explanation of the continued motion of a freely thrown body, in modern times we have simply renounced such an explanation of inertial motion. This renunciation is not a resignation in principle regarding causal explanation; it is none other than surrender in the face of an unsolved problem."

      (in: The Structure of Physics, Carl Friedrich von Weizsäcker, p. 24)

      May be you will find this "paradox" somehow interesting. It is closely related to the notion of relational versus absolute motion.

      Good luck for your well-written paper.

      Kind Regards

      Helmut

      Dear Daniel,

      I think if the equation of physics are written with the help of vectors and tensors they can be truly for absolute reference frame. Then if we have truly transformations of coordinate and time to any relative reference frame we will have truly picture in this frame. Then we have absolute and Relative Motion in different reference frames and both are equivalent to each other. The example of absolute reference frame is in Extended special theory of relativity, one concept of the Theory of Infinite Hierarchical Nesting of Matter in my Essay.

      Sergey Fedosin Essay

        Dear Edwin, thanks for the reply.

        I think the whole confusion comes from the fact the C-field equation is written in a particular basis, but it should be diffeomorphism invariant if it comes from GR. If you can explain that to me, we can understand each other points more easily.

          Dear Helmut

          Thanks for the positive comments.

          I must admit I can´t see the paradox you mentioned.

          First because there´s no need to a cause for why free objects are at rest or moving with constant velocity in relation to an inertial frame other than F=0. I don´t see the point.

          Second, this ''persistent change of state'' as you put is meaningful only to a reference frame: there are frames in which classical mechanics hold and a free object is at rest.

          Maybe you should try to explain me better where is the paradox (self-contradictory conclusion).

          Best regards

          Dear Sergey,

          Thanks for your interest in my essay. I did not understand the points you are trying to make. You say: ''I think if the equation of physics are written with the help of vectors and tensors they can be truly for absolute reference frame.''

          The whole business of using tensors suggest background independence because tensors have an existence independent of any basis in which their components may be written. I don´t understand what you mean.

          Hi Daniel,

          The weak field approximation I use is derived in Hobson, Efstathiou and Lasenby's book, "General Relativity, An Introduction for Physicists" page 491. Another treatment begins on page 313 in Moller's "The Theory of Relativity".

          I do not, as a matter of first choice, think in terms of diffeomorphisms, and, with all of the questioning in current essays of the interpretation of General Relativity and its relation to Quantum Mechanics, I don't plan to focus on diffeomorphism invariance. Upon reading your essay it appeared to me that it bore some relation to mine, but it looks as if this relation will die from the lack of a common vocabulary and common expertise. Thanks again for your efforts, and good luck in the contest.

          Edwin Eugene Klingman

          Edwin,

          I don´t think any lack of expertise of my own should be a problem because my question is very simple. Unfortunately I could not find your references.

          Let me put it in this way: The C-field is not a 4-vector (certainly because the curl operator is defined only for 3 dimensions). I´m just asking you to provide the tensorial version, i.e. the covariant version of the C-field equation.

          Then I´m sure we can have a good talk.

          Best regards

          Daniel,

          Due to the high degree of non-linearity in the field equations a general solution for arbitrary matter distributions is "analytically intractable". One approach to this is to linearize general relativity, and an excellent treatment of this is provided beginning on page 467 of the Doran reference given above and continuing to page 497. [An equivalent treatment begins on page 313 in Moller, as noted.] The key equation is probably the metric equation (17-4) on page 469, based on infinitesimal transformations (of the form given in equation 17-2) that apply to changes in scalar, vector, and tensor fields, but the claim is that these can be ignored in all quantities except the metric, "where tiny deviations from eta-sub-mu-nu contain all the information about gravity. Equation (17-4) is considered as analogous to a gauge transformation in electromagnetism, and hence has the form of the tensor F-sub-mu-nu given on page 4 in my previous essay, that I already referenced above.

          I'm sure that you are quite competent, but if the linearized form of General Relativity is unfamiliar to you, I doubt that a comments blog is the place to remedy this. And, as I noted above, I don't wish to invest more effort into GR field equations, since I have doubts about the ultimate interpretation of GR and I currently find the Maxwell form of the equations much more useful for analogies with electro-magnetism, which I believe most applicable to the quantum approach I am currently interested in. Thanks yet again for your efforts.

          Edwin Eugene Klingman

          • [deleted]

          Dear Daniel,

          The background of it as follows: The conceptual meaning of force ist that it is the cause of change. That means the function f(ik), whose form enters into the solution as a system parameter, is proportional to the time deritative of a state variable. It is thus already assumed how the force will depend on the state, and this force then determines the change of the state in time.

          In brief, one understands f(ik) not as one cause among others but as the cause of the change of state. Mathematically it is due to the differential equation being of second order. The state variable x(ik) alone does not determine its own subsequent development, but does so only in conjunction with its time deritative v(ik) as an arbitrary initial condition. In particular, setting the force, which is assumed to be the cause of the change of state, equal to zero, there are still solutions with constant velocity:

          x(ik) = a(ik)t + b(ik)

          v(ik) = a(ik)

          A body with no motive force acting upon it moves with constant velocity.

          The physical background of v. Weizsäcker's argument is: Two bodies with the same velocity but at different locations are in different states, if correctly put by the modern description in phase space; and during inertial motion the point in phase space varies. V. Weizsäcker proposes: If one wants to think causally in a consistent way, one must radicalize Machs ideas and interpret the inertial motion as being caused by the universe (i.e. the distant masses).

          Hope it helps to understand the point..

          Best wishes

          Helmut

          Edwin

          I found a good reference (Carrol´s book) and I now understand the C-field is a 3 vector formed upon the (0i) components of the pertubation of the metric huv in the linearized approach.

          The C-field has an existence relative to any inertial frame, but just as the eletric and magnetic field are part of a basis independent tensor Fuv, the basis independent object from which C-field is derived is huv.

          NASA´s probe b may have measured the C-field, but we should not forget that that was made in a particular reference frame. In a different frame, the result would be different (just as in electromagnetic measurements of the E and B fields).

          Given the background independent nature of GR, 2 configurations of the universe related by a diffeomorphism (like moving the whole universe to the left) are not physically distinct, and also the huv before and after a diffeomorphism are not physical distict (even though the C-field might be, but that is analogous to the transformation of eletric field to magnetic field in different frames). So, just like anyother relativistic field, the huv has a background independent character and the C-field derived from it is meaningful only in a particular basis. There is no room for absolutness.

          Dear Helmut,

          Thanks for the reply.

          First notice that the concept of velocity is not unique, as an objects velocity varies within different inertial frames. Since classical mechanics is galilean invariant, absolute velocity has no importance at all.

          Also, the fact that ''A body with no motive force acting upon it moves with constant velocity'' is not strange or undesirable! It seems you feel unconfortable with the fact that the lack of force (F=0) implies a change of state. It may be easier to see that there is no problem by remembering that F is just -(grad V) which may be 0 even when V is different to 0.

          Daniel,

          I'm glad you found a reference. And I agree with you that if it "is analogous to the transformation of electric field to magnetic field in different frames" then "like any other relativistic field, the huv has a background independent character and the C-field derived from it is meaningful only in a particular basis. There is no room for absolutness."

          I am not certain that the analogy holds, due to some features of Martin Tajmar's measurements of the C-field and due to my own interpretation, but it is likely that it actually is analogous, in which case I fully agree with you.

          I still recommend Daryl Janzen's essay and Israel Perez's essay as potentially related to yours. I think you will enjoy fruitful discussions with both of these authors.

          I very much appreciate the effort you have made to understand the C-field and relate it to your own essay, and wish you the best in this contest and in your career.

          Sincerely,

          Edwin Eugene Klingman

          Dear Daniel,

          you avoid the problem connected with it: Neither Galilean nor Special Relativity is able to justify the privileged role of inertial frames of reference. Newton's law is epistemologically circular. Today this problem is only solved by means of an incomplete induction. Einstein was aware of this problem, which he tried to eliminate it by introducing Mach's principle into his general theory of relativity. But he failed. Even in his last lecture, given at the Palmer Physical Laboratory in April 14, 1954, he struggled with this problem. He compared the inertial frame with God Almighty. Like him it would be unaffected by anything else.In this lecture he also explained why the implementation of Machs principle into his GTR failed. --If you give up space, you have an enormous number of distances, and unhandy consistency relations.-- (Einstein, 1954)

          Hence, I resist: THERE IS A PROBLEM and its solution determines essentially how we understand MOTION.

          Kind Regards

          Helmut

          Dear Daniel (part 1)

          I enjoyed reading your clear and well written essay. I would like to make some comments so you can understand some nuances in how we should understand absolute motion. As I argued in my reply to you in my entry, I hold that space is some sort of aether which for modern convenience we can call it quantum vacuum or better the zero-point field (ZPF) and therefore it can be considered as the PSR. Because relative to this ZPF all objects move (including light). If we have an object at rest this object is absolutely at rest otherwise it is in absolute motion. So, as you can see I am being truly relational, unless you disagree. I am going to quote one of the arguments that Newton gave in his famous scholim when he was arguing in favor of the existence of absolute motion (which is basically the same idea I am stating):

          "But because the parts of space cannot be seen, or distinguished from one another by our senses, therefore in their instead we use sensible measures of them. For from the positions and distances of things from any body considered as immovable, we define all places; and then with respect to such places, we estimate all motions, considering bodies as transferred from some of those places into others. And so, instead of absolute places and motions, we use relative ones; and that without any inconvenience in common affairs; but in philosophical disquisitions, we ought to abstract from our senses, and consider things themselves, distinct from what are only sensible measures of them. For it may be that there is no body really at rest, to which the places and motions of others may be referred.

          But we may distinguish rest and motion, absolute and relative, one from the other by their properties, causes and effects. It is a property of rest, that bodies really at rest do rest in respect to one another. And therefore as it is possible, that in the remote regions of the fixed stars, or perhaps far beyond them, there may be some body absolutely at rest; but IMPOSSIBLE TO KNOW, from the position of bodies to one another in our regions whether any of these do keep the same position to that remote body; it follows that absolute rest cannot be determined from the position of bodies in our regions.

          As you can see Newton was also truly relational in contrast to what most people believe about him, the problem is that Newton's space was envisaged as total emptiness and relating the motion to nothingness is meaningless. He also knew that it may not be possible to detect absolute motion but despite this when something moves it really moves not only relative to a reference object but, within the modern context, relative to the ZPF. This field pervades the whole universe and interconnects all physical objects (particles). Therefore, the water of the famous bucket experiment, moves relative to the ZPF which in Newton words would be "absolute space" and in Einstein words would be "the gravitational potential or the metric tensor". The problem with the metric tensor is that it is nothing but a mathematical object, pure geometry.

          On the other hand, the programme your are endeavoring is not knew for me. I have tried in the past to reformulate mechanics getting rid of time and space. This would lead to a thermodynamic-like formulation of mechanics, but I found it fruitless basically because one cannot avoid the involvement of time-like parameter in the formulation. As I could see in your essay the parameter gamma plays the role of t, which appears to be redundant if one tries to get rid of one parameter and introduce another. My question here is, how is this parameter gamma going to be measured? With a clock?

          To be continued...

          Israel