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Information Relativity Theory Surpasses Bell's Inequality and Reproduces Quantum Theoretic Predictions

Ramzi Suleiman

Published Dec 1, 2015• 0 citations
OpenAlex

Abstract

Bell's Theorem prescribes that no theory of nature that obeys locality and realism can reproduce all the predictions of quantum theory. However the theorem presupposes that distanced physical systems become spatially disconnected. This presupposition, although in agreement with our intuition, has never been confirmed experimentally. As a result Bell's Theorem prohibits only temporal locality, but not spatial locality between distanced particles. Here, I show that any local-deterministic relativity theory that violates Lorentz's contraction for distancing bodies cannot be forbidden by Bell's inequality. I further show that the predictions of a recently proposed local and deterministic Information Relativity Theory, are consistent with quantum theory and quantum thermodynamics, and reproduce the same results for key quantum phenomena, including matter-wave duality, quantum criticality and phase transition, formation of Bose-Einstein condensate, and quantum entanglement. The theory assumes that observers who are in inertial motion with respect to each other with relative velocity v, communicate information about physical observables using an information carrier with known velocity (vc) which satisfies vc > v. No other presumptions are made. For velocities satisfying v << vc all the theory transformations reduce to Galileo-Newton laws. The theory is simple and is also beautiful due to its Golden Ratio symmetries. More importantly, the theory is scale independent with respect to the investigated physical systems' dimensions and the velocity of the information carrier, which renders it applicable to the dynamics of moving bodies in all inertial physical systems.

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Bell's Theorem prescribes that no theory of nature that obeys locality and realism can reproduce all the predictions of quantum theory. However the theorem presupposes that distanced physical systems become spatially disconnected. This presupposition, although in agreement with our intuition, has never been confirmed experimentally. As a result Bell's Theorem prohibits only temporal locality, but not spatial locality between distanced particles. Here, I show that any local-deterministic relativity theory that violates Lorentz's contraction for distancing bodies cannot be forbidden by Bell's inequality. I further show that the predictions of a recently proposed local and deterministic Information Relativity Theory, are consistent with quantum theory and quantum thermodynamics, and reproduce the same results for key quantum phenomena, including matter-wave duality, quantum criticality and phase transition, formation of Bose-Einstein condensate, and quantum entanglement. The theory assumes that observers who are in inertial motion with respect to each other with relative velocity v, communicate information about physical observables using an information carrier with known velocity (vc) which satisfies vc > v. No other presumptions are made. For velocities satisfying v << vc all the theory transformations reduce to Galileo-Newton laws. The theory is simple and is also beautiful due to its Golden Ratio symmetries. More importantly, the theory is scale independent with respect to the investigated physical systems' dimensions and the velocity of the information carrier, which renders it applicable to the dynamics of moving bodies in all inertial physical systems.
Bell's theorem prescribes that no theory of nature that obeys locality and realism can reproduce all the predictions of quantum theory. However, Bell's theorem presupposes that particles that are distanced from each other become spatially disconnected. Yet studies have never experimentally confirmed the possibility of spatial locality between distanced particles. Here, I show that Bell’s theorem cannot forbid an infinite set of local-deterministic relativity theories that violate Lorentz's contraction for distancing bodies. This result in itself cannot guarantee a theory from this set of theories to successfully reproduce the predictions of quantum theory, but until the spatial locality loophole is satisfactorily closed, experiments should be decided the fate of such theories.
The present article proposes an epistemic approach to relativity, termed information relativity theory. For this purpose we consider a physical system in which an observer receives information on measurements taken in another reference-frame with constant velocity v relative to observer's frame. Unlike existing ontic relativity theories, we avoided questions pertaining to the true state of Nature (i.e., as it is for itself). We only ask how physical measurements taken in the moving frame are transformed when they are received in the observer's frame. We specify that information is communicated using an information carrier with known velocity v_c (v_c > v). We make no other assumptions, thus our approach is completely epistemic. For systems of the above described type we derive the epistemic relativistic time, distance, mass, and energy transformations, relating measurements transmitted by the information sender, to the corresponding information obtained by the receiver. The resulting terms are simple and beautiful with several Golden Ratio symmetries. For β = v/v_c v the theory applies to all systems which could be described by the preparation described above, regardless of the modality and velocity of the information carrier, and the rest mass of the body. An essential feature of the theory is that the direction of relative motion is of crucial importance. The derived time transformation concurs with the original Doppler formula, renders the theory useful for relativistic cosmology. No less important the theory predicts that distancing objects will suffer length extension. At sufficiently high velocities the theory predicts that two bodies distancing from each other can maintain s spatial locality, a property which enables the theory to bypass Bell's theorem. We demonstrate the validity of the above conclusion by successfully explaining and reproducing quantum theoretic results for two key quantum phenomena: quantum phase-transition, and matter-wave duality.
Bell's Theorem prescribes that no theory of nature that obeys locality and realism can reproduce all the predictions of quantum theory. However, Bell's proof presupposes that particles which are distanced from each other in space become spatially disconnected. However, the theoretical possibility for the existence of spatial locality between separated particles had never been refuted empirically. Here I show that Doppler-like local-realistic relativity theories, which predict that the relativistic length of a body distancing from an observer's rest-frame will stretch rather than contract, could maintain spatial locality between particles, even when the particles are distanced enough to ensure that information about the outcomes of one particle is passed to the other particle faster than light. This implies that local and realistic theories which belong to the aforementioned Doppler-like theories could not be disqualified a priori by Bell's Theorem.
In a recent Nature article, Hensen et al. reported that they have accomplished a loophole-free test of Bell's theorem. The authors speculated that further improvements in their experimental design could settle an 80 years debate in favor of quantum theory's stance that entanglement is action at a distance. We direct attention to a spatial aspect of locality, not considered by Bell's Theorem nor by any of its experimental tests. We refer to the possibility that two particles distancing from each other could remain spatially disconnected, even when they have distanced enough to ensure that information between them was transmitted faster than the velocity of light. We show that any local-deterministic relativity theory which violates Lorentz's contraction for distancing bodies can maintain spatial locality. We briefly note that the recently proposed Information Relativity Theory satisfies the aforementioned condition, and that it predicts and explains several quantum phenomena, despite being local and deterministic. We conclude by arguing that quantum entanglement is not nonlocal and that the unnoticed spatial dimension of locality is in fact the hidden variable conjectured in the seminal EPR paper.
In a recent Nature article Hensen et al. reported that they have accomplished a loophole-free test of Bell's theorem. The authors speculated that further improvements in their experimental design could settle an 80 year debate in favor of quantum theory's stance that entanglement is action at a We direct attention to a spatial aspect of locality, not considered by Bell's Theorem or by any of its experimental tests. We refer to the possibility that two distanced particles could remain spatially disconnected, even when distanced enough to ensure that information between them was transmitted faster than the velocity of light. We show that any local-deterministic relativity theory which violates Lorentz's contraction for distancing bodies can maintain spatial locality at any distance. We conclude that until the loophole of spatial locality is closed by future experiments, the news about the death of locality will remain greatly exaggerated.
In the early stages of the famous debates between Einstein and Bohr on the foundations of quantum mechanics, Einstein attempted to devise thought experiments aiming at showing that arbitrarily accurate predictions of incompatible physical quantities was possible, in violation of Heisenberg's uncertainty principle. Bohr was able to defend quantum mechanics from those attacks by showing that a careful application of the uncertainty principle to the experimental apparata as well as the measured system lead to consistent results. Could Bohr have given an independent argument for the irreducible unpredictability implied by the uncertainty principle? The celebrated 1964 theorem of John Bell shows that no model that reproduces the predictions of quantum mechanics can simultaneously satisfy the ontological concepts of locality and determinism. However, nothing can be concluded from Bell's theorem alone about locality by itself or determinism by itself--it is possible to reproduce quantum-mechanical predictions with deterministic models which violate locality as well as indeterministic models which satisfy locality. On the other hand, there's almost universal agreement that the epistemic form of locality--signal locality, or the impossibility of faster-than-light communication--must hold in a relativistic universe. By making a similar distinction between determinism and the epistemic concept of predictability, I show that signal locality plus the bare observed phenomena of Bell inequality violations lead to the remarkable conclusion that Nature is fundamentally unpredictable. This result grounds the quantum-mechanical prohibition of arbitrarily accurate predictions on the principle of relativity, regardless of any postulates of quantum mechanics.