Schmelzer
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The most common sense compatible interpretation is IMHO Caticha's entropic dynamics Caticha, A. (2011). Entropic Dynamics, Time and Quantum Theory, J. Phys. A44:225303, arxiv:1005.2357 There is a configuration space trajectory \(q(t)\in Q\) and there are some other, unspecified variables y. I prefer to use as these variables simply the same configuration space, but of the external world. Then, we have incomplete information about it if we know only how the state was prepared, thus, we know some probability distribution \(\rho(q,y)\). Then we define for each \(q\in Q\) the resulting probability \(\rho(q) = \int \rho(q,y)dy\) and the entropy \(S(q) = -\int \ln \rho(q,y) \rho(q,y)dy\). Then we have for \(\rho(q)\) a diffusion (Brownian motion) with parameter \(\hbar\) combined with a movement toward higher entropy, and a generalization of the Hamilton-Jacobi equation for the entropy. This pair of equations gives, if one combines \(\rho(q)\) and \(S(q)\) into some artificial complex function with the phase \(\ln \rho - S\) (modulo signs and so on) this gives the Schrödinger equation for that complex function. This nice accident allows us to use the full power of the mathematics of quantum theory, but is otherwise of no fundamental importance. Just a happy accident.
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Do Feynman path integrals satisfy Bell locality assumption?
Schmelzer replied to Duda Jarek's topic in Quantum Theory
The Schrödinger equation allows violations of the Bell inequalities. Classical theories (EM, GR) don't allow them, indepedent of any CPT or whatever symmetry. QFT allows violations of the BI. The formulations used for QFT, CPT symmetry and so on, are irrelevant for this question. -
The Lorentz-Poincare interpretation of special relativity is not my pet theory, but was the only interpretation of SR from 1905-1909, until Minkowski proposed his spacetime interpretation in 1909. Before being banned forever for mentioning this triviality again, I would suggest the adminstration of the forum how to handle the original interpretation of SR, as proposed by Lorentz and Poincare, which is usually named "Lorentz ether", and those who follow the recommendations given by Bell in Bell, J.S. (1976). How to teach special relativity. Progress in Scientific Culture 1(2), reprinted in Speakable and Unspeakable in Quantum Mechanics where he suggests to teach also this traditional approach to relativity because it gives the people better intuitions. Some forums decide to ban discussions of the Lorentz ether as anathema. In this forum, it was suggested that it is possible to discuss it, but in reality I was banned for doing it. I think banning people for doing things not explicitly forbidden is much worse than explicitly forbidding whatever theories of physics the admins don't like. That's fine with me, I have, of course, my own opinion about the scientific value of such rules, but I accept the right of the administration of the forum to forbid whatever they don't like. But not to forbid it in the rules, but then banning people in reality, naming the Lorentz-Poincare interpretation a personal pet theory, ... Just to clarify how I see the actual situation: There are threads for discussing my "pet theories", namely my generalization of the Lorentz ether to gravity and my ether model of the SM. And there is the Lorentz ether, as the classical interpretation of SR, which is not my pet theory. Therefore I think that I'm allowed to discuss it in every thread about relativity, if it gives some other perspective which may be interesting for some readers. I do this following the recommendations made Bell, thus, I follow here an established mainstream scientist too, and I do not see any violation of the actually existing rules of the forum. So, please clarify the rules of this forum, regarding the discussion of the original interpretation of SR. Is it anathema or legitimate part of established science? Oh, I see the date is Friday. the 13th. So, the result of this posting is predictable - a ban forever. So, good buy.
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It is simply wrong. The phrase "completely wrong" would be simply a quite meaningless amplification, the "not completely wrong" makes even less sense. Only observation - interpreted based on logic as well as the principles of scientific methodology. This is how empirical science proceeds. Logic and scientific methodology are not empirical science. And I disagree with them. No, I prefer to support them with arguments. To support something with references to authorities I leave to religious people. I use references to refer to particular papers if I use a result of this paper, or to refer to some standard textsbooks if the issue is not that interesting for me. For the important things, I rely on own arguments.
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As now already usual, I have got another warning for "bringing my pet theory" into a discussion where nothing in my post has any relation to my pet theories. These pet theories are, first, an ether theory of gravity, arxiv:gr-qc/0205035, and, second, an ether model for the SM arXiv:0908.0591. The thing I have introduced was, instead, the Lorentz ether interpretation, which is the classical, original interpretation of special relativity before Minkowski proposed his spacetime interpretation 1908, as explained in the posting itself. It looks like in this sense even https://www.physicsforums.com/ is more moderate - they at least openly declare that the Lorentz ether is forbidden, here there is no such rule forbidding the Lorentz ether but it looks I will receive warnings until I get banned simply for discussing the original interpretation of SR.
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No, classical logic has a different status. That it is incomplete does not make it wrong. (That it is incomplete was obvious to me even as a child, it was, last but not least, clear that for most of what one needs in everyday life classical logic is not directly applicable because we do not have enough certain presuppositions to derive something nontrivial. The logic of plausible reasoning - the objective Bayesian interpretation of probability - has solved this problem for me.) Physical theories, if not "completely wrong" (which happens, often enough, too, essentially all the GUTs, strings, and supersymmetric theories are certain candidates for being completely wrong) usually survive only as approximations. So, in a strong sense they are completely wrong: Even an acceptable approximation is wrong. Strangely, many people like to weaken the meaning of wrong and claim that once something is, under some circumstances, acceptable as an approximation, it is fine, not wrong. I'm unable to understand why one would do such things. You seem to be one of them. So, I think "not completely wrong" means "sometimes useful as an approximation". I have explained that this is not the case. It cannot be observation that shows you are wrong, but observation in combination with interpretation. This interpretation always uses logic as well as scientific methodology. You simply ignore this explanation and repeat a primitive simplification. And you completely ignore the argument that all that is imaginable as a conflict between observation and the principle that observable correlations require causal explanations is that for some observed correlation no causal explanation is known - and that this would be simply an open scientific problem, no justification for a rejection of the principle. So, how an empirical falsification of the principle that observable correlations require causal explanation You think so? This principle is straightforward common sense. Searching for a reference where such elementary things are explained? Sorry, I'm too lazy for this. Feel free to conclude that, given that I do not present a reference, the principle is my personal invention, and that the arguments I have provided to support its importance can be, without reference, ignored. If you really would like to read something about it, I would recommend to search for literature about Reichenbach's principle of common cause.
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What if observations show the invented principles of classical logic to be wrong? This is simply not possible. Observations by themselves show nothing. Something has happened, I have seen a nice picture. Fine. Observations can show something only if evaluated appropriately, following the rules of logic as well as the rules of scientific methodology. How can observations show that these principles are wrong? For the principle that observable correlations require causal explanations it is impossible even in principle, because all what is imaginable is that you have correlations but no causal explanation. But this is simply an open scientific problem. And an open scientific problem is certainly not a sufficient reason to reject scientific methodology.
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????? Of course, the development of new theories is based on what has been reached by old theories. But they necessarily contain essentially new elements. One cannot derive them based on old theories, they contradict them in some essential points. I disagree. If you present a new theory, you have to start with some axioms. These axioms cannot be derived from old theories, at least some of them are in conflict with the old theories, contradict them. What you use as axioms, is a free choice. But the axioms of a theory may be, at best, plausible from the point of view of the old theories. It is quite common in classical physics to define new theories by postulating a Lagrangian. For a test particle on a fixed background of a metric theory of gravity, proper time can be used as the Lagrangian. Once one has defined that theory in this way, everything else can be derived from this. So, the , and geodetic equations will be derived as Euler-Lagrange equations. And a derivation is certainly also an explanation. What's the point of this remark? I was also able to develop new theories and to publish them. They have big enough advantages compared with existing competitors, their only problem is that they are completely ignored by the mainstream. Ignorance is not an argument, so I have no reason at all for shame even in comparison with Einstein. It is not, because, following Newton's definition, time measured with clocks is not absolute time, but apparent time. He writes in Principia Mathematica (1687) Nobody cares about where things come from. Kepler's laws came from astrological considerations, this does not diminish their scientific value. Mathematical methods can be used freely, without any copyright. So, if you want to compute Doppler-shifted sound waves, you are free to use the Lorentz transformations with the speed of sound instead of c. Moreover, if we look at the history, we find that the Lorentz transformations go back to Lorentz 1895, thus, was developed before Einstein's 1905 paper, and therefore independently of SR. My description differs from SR in its Minkowski time interpretation in quite obvious ways, it does not presuppose the existence of any spacetime, but is compatible with classical absolute space and absolute time, following Newton's definition of them. The Lorentz transformation simply transforms one particular solution of some wave equations into other, Doppler-shifted ones. This is a useful operation without any theory of relativity behind it. There is no ether in the Minkowski spacetime interpretation of special relativity. The key source for the Minkowski interpretation is "space and time", a talk held 21. Sept. 1908 and published 1909. The original interpretation goes back to Lorentz and Poincare and is named today "Lorentz ether". That it is possible is an obvious consequence of the history: One of the key parts of the SM, the EM field, has been constructed by Maxwell completely without relativity, based on an ether theory. Nothing would have changed if, for whatever reason, Minkowski would not have invented his spacetime interpretation, and the Lorentz ether would have remained the standard interpretation of SR.
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I don't try. I simply explain the situation. If the admins decide to ban me, such is life. Indeed. But this is only half of the problem. The other half is what the moderators think about it. In another thread, where the Newtonian definition of time was discussed, and I have given an answer to your question ("You didn't answer my question. Is my coordinate time the same as yours?"), I have received the following reaction: I care a lot about the members who actually want to learn mainstream physics. I follow in these question the recommendations given by Bell in this paper Bell, J.S. (1976). How to teach special relativity. Progress in Scientific Culture 1(2), reprinted in Speakable and Unspeakable in Quantum Mechanics: And I fully agree with Bell - it is better to teach students those interpretations which are more compatible with classical common sense. Like the realistic and causal interpretations of QT as well as the Lorentz ether interpretation of special relativity. Which is, BTW, the original interpretation, the spacetime interpretation was proposed only later by Minkowski. Whatever, my evil "pet theory" had not even been mentioned. I was not bringing up it, I simply answered a question of another moderator, who insisted on an answer. It did not help. This is, again, not about evil moderators handling me in an unjust way. It is simply an illustration of an obvious problem: Forum rules are far from certain because they cannot be certain, they always require interpretation. I have moderated forums too, so that I know such problems from the other side too. And I also know about the role of agreement about the content. It is important that moderators feel morally obliged to follow only the rules and to be fair to opponents. But it is really hard to follow these rules in reality. If one participates in forums where one is in conflict with the administration about the content, the burden of following the rules becomes automatically heavier. This is simply a fact of life, no reason to whine about. So that people have to think that I simply ignore their reasonable questions, maybe because I'm unable to answer them? This is already close to the main problem: People write all the time things which are plainly wrong. Once the wrong claim is written in a given thread, discussing that wrong claim is on-topic. So I think it is necessary to correct such wrong claims. And in this case one is obliged to give some evidence that the claim is wrong. The evidence has not yet been discussed in that thread, else the wrong claim would not have been made, so the evidence may be classified as off-topic. What to do? Leave the wrong claims unquestioned? Claim that they are wrong, without presenting any evidence? (BTW, what to do if, which often happens, claims are made about the nonexistence of theories if my evil pet theory is a straightforward counterexample?) So my choice in such a situation is to correct the wrong claims, and, if it seems problematic to present the evidence, then to tell about this. But this requires to say something about it. I have already accepted that it will take at least decades. Last but not least, the first decade of complete ignorance is already over - the paper was published 2009: Schmelzer, I.: A Condensed Matter Interpretation of SM Fermions and Gauge Fields, Foundations of Physics, vol. 39, 1, p. 73 – 107 (2009), arXiv:0908.0591; During the first years, I was surprised by the complete ignorance by the scientific community, and that the publication has changed nothing in the negative reactions in forums, despite the results reached in the paper. But I have essentially already accepted that it will be completely ignored forever. Everything else would be an unexpected surprise. Such is life. Given the actual general developments in science, I think one can be happy if science simply survives the next decades and preserves what has been reached.
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No. There are many people who think so, but it is far from being consensus. Fundamental relativity is the assumption that relativistic symmetry is not simply an approximation, but really fundamental. The LQG people, in particular Rovelli, emphasize the central role of background independence in their approach. Background independence is the established attempt to formalize diff invariance as having a physical meaning, despite Kretschmann's objection. String theory I do not take seriously, whatever they think. Beyond these two there is essentially nothing. If it would be accepted that relativistic symmetry is only an approximation, it would be fine. I have yet to find people ready to accept this together with the consequences. Namely, it follows almost automatically that the classical objections against the Lorentz ether are worth nothing - some approximate symmetry may be useful in some computations, but has no fundamental significance at all. No. Kretschmann's objection was essentially accepted by Einstein. GR remained nonetheless unchanged and unquestioned. The question has more metaphysical character. I have never claimed that Einstein causality is a law of logic. My claim is about realism, and not realism in general (philosophers have invented hundreds of variants of it) but of the particular formula used in Bell's proof which is usually interpreted as following from realism. I have shown that it follows from the Bayesian interpretation of probability, which is an interpretation of the rules of probability as rules of consistent thinking in a situation of uncertainty. (The logic of plausible reasoning.) In other words, for a consistent model one can simply construct that space \(\Lambda\) which is usually interpreted as some set of hidden variables. The construction for the case of quantum theory is there too. It has been found earlier by Kochen and Specker and is not really complicate. Of course, there may be useful physical theories without realism and causality. They may be, indeed, useful. But they are incomplete. (But to name a theory which is not realistic a valid description of physical reality becomes funny. The rejection of realism means that theory refuses to describe reality.)
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If this is all, one can easily prove Bell's inequality. If both measure the same direction, they get 100% correlation. If the preparation is the common cause, and no interaction happens later, it follows that the results have been predefined. This holds for all directions. But for predefined results, Bell's inequality holds.
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The theories have been published in proper peer-reviewed journals. This does not help at all, they have been (and predictably will be) simply ignored. The funny thing is that the standard argument against cranks is "publish your theory in a peer-reviewed journal, then ...". But in reality nothing changes. My ether theories have been published, but nothing has changed. (In fact, in the old days of sci.physics.research I had more and qualitatively better communications with mainstream physicists.)
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Which is what I have done. Once the principle is a methodological principle (correlations require causal explanations), the stance is not anti-scientific. And I don't ignore any observational evidence. I work until I find an explanation of the observations which is compatible with the principles of scientific methodology. No. Quantum theory allows you to compute the numbers without giving any explanation for them. Note also that what is required is causal explanation. Of course, correlation does not imply causation. This is what makes the search for causal explanations a serious scientific problem. And Reichenbach's common cause principle defines precisely what counts as a causal explanation and what does not count.
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Or from other metric theories of gravity. I have had enough negative experience showing me that relying on rules in forums gives nothing. Last but not least, rules are necessarily vague, and have to be interpreted, and if an admin interprets them differently than I do, I'm the loser. But, ok, in future I will write, instead of "forbidden here" something like "I'm afraid it may be forbidden here". In Newtonian physics time runs at a constant rate, in quantum theory there is not even a time measurement operator, and the time parameter is absolute, so based on Newtonian physics I cannot explain it. Relativity you have excluded explicitly. I don't know any more fundamental theory than GR which is not speculation, and even if you would accept string theory or LQG as such theories, I would certainly not use them, given my own opinion about their scientific value. The "speculation" which I would agree to use would be based on my own pet theory. So, your request remains problematic. But, ok, one thing I can try. I take the SM of particle physics. I ignore relativity, as required. The SM consists of field equations, they make sense without relativity too. Last but not least, the Maxwell equations have made sense long before 1905 too. Then, I know that if you have a wave equation, you can construct for each solution also a Doppler-shifted solution. This construction uses simply the Lorentz transformation with the speed of that particular wave equation. It works for sound waves too, if you use the speed of sound in the Lorentz transformation, it gives you the Doppler-shifted sound waves. So, I can use Lorentz transformations without invoking relativity simply because I have some wave equations. Now, take a solution of the SM which describes a material clock at rest which measures 1 second. All the SM equations are wave equations with the same c, so this trick can be applied to construct a Doppler-shifted solution. This gives a solution for a material clock of the same construction moving with some velocity and measuring the same 1 second. Looking now what is measured in terms of absolute time, one can easily see that it is a different amount of absolute time which is measured by the two clocks as 1 second. Really. In the Lorentz ether interpretation of special relativity time is absolute, only clock time is relative. It is the Minkowski spacetime interpretation where time itself becomes relative. The thing named proper time (badly translated "Eigenzeit") is relative in both interpretations, but this is only clock time, apparent time, not absolute time. "Time is what the clock shows" is already interpretation, not physics.
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The remark was a general one, about scientific forums. Here an open letter I have written to https://www.physicsforums.com/ in protest against a violation of their own rules, which resulted in banning me. Here is what an admin wrote recently here: "Well, then, this will be put in speculations and you will limit your discussion of this subject to this thread, and this thread alone." So my "some move them into subforums for cranks" holds here too, and "this thread alone" is not much space. So, I have to care here all the time if answering honestly a particular question would violate such restrictions and get me banned here too. Which is quite difficult, because many questions of laymen have simple answers in the Lorentz ether interpretation. (This is not questioning this decision, I fully acknowledge the right of the administration to impose whatever rules they like, it is simply a description of the situation.)