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Relativity of Information Explains Quantum Criticality and Matter-Wave Duality

Ramzi Suleiman

Published Mar 1, 2016• 0 citations
OpenAlex

Abstract

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.

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•Jul 7, 2026•0 citations
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 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.
We propose a simple, axiom-free modification of Galileo-Newton's dynamics of moving bodies, termed Information Relativity theory. We claim that the theory is capable of unifying physics. The claimed unification is supported by the fact that the same derived set of simple and beautiful transformations, apply successfully to predicting and explaining many phenomena and findings in cosmology, quantum mechanics, and more. Our modification of classical physics is done simply by accounting for the time travel of information about a physical measurement, from the reference frame at which the measurement was taken, to an observer in another reference frame, which is in motion relative to the first frame. This minor modification of classical physics turns out to be sufficient for unifying all the dynamics of moving bodies, regardless of their size and mass. Since the theory's transformations and predictions are expressed only in terms of observable physical entities, its testing should be simple and straightforward. For quantum mechanics the theory predicts and explains matter-wave duality, quantum phase transition, quantum criticality, entanglement, the diffraction of single particles in the double slit experiment, the quantum nature of the hydrogen atom, the strong force, quantum confinement, and asymptotic freedom. For cosmology, the theory constructs a relativistic quantum cosmology, which provides plausible and testable explanations of dark matter and dark energy, as well as predictions of the mass of the Higgs boson, the GZK cutoff phenomena, the Schwarzschild radius of black holes (without interior singularity), and the timeline of ionization of chemical elements along the history of the universe. Extensions of the theory to accounting for the gravitational and electrostatic fields are briefly discussed.
One of the concepts of Relativity theory that challenges conventional intuition the most is time dilation and length contraction. Usual approaches for describing relativistic effects in quantum systems merely postulate the consequences of these effects as physical constraints. Here, we propose to rebuild Special Relativity from quantum mechanical considerations. This is done by dropping one of its fundamental postulates: the universality of the speed of light. Lorentz transformations are obtained by a quantum mechanism. We use the fact that quantum states depend on the Galilean reference frame where they are defined. In other words, quantum states outside an observer's Galilean reference frame are distorted. Then, we show in a theorem the existence of time-dependent observables that are sensible to this distortion in such a way that their expectation value is a Lorentz-covariant function of time. We then postulate this mechanism as the source of the phenomena of Special Relativity. As a corollary of the main theorem, we show the existence of a Lorentz covariant momentum and mass operators which yield the relativistic momentum and mass. In this theory, the fundamental limit of the speed of light imposes a transparency condition for faster-than-light particles: they are allowed but they are not observable. The transparency effect could explain dark matter in a more general theory following this quantum formalism.
A hypothesis is put forward according to which the formulas of Relativity are a consequence of the laws of quantum physics and may be applied only to quantum objects. According to the wave - particle duality quantum bodies are simultaneously the waves and considered in the present research with a use of the wave equation and requirement of its Lorentz‘s invariance. The property of invariance with respect to the Lorentz’s transform is analysed in hyperbolic coordinates in an area of complex numbers. An examination showed that formulas of relativistic kinematics can be obtained based on the condition of equality of the amplitudes and phases of the wave, observed from different inertial frames. There is no need to introduce the concept of a unified entity of space-time, but the return to the idea of aether and matter waves de Broglie occurs. The physical model becomes borrowed partly from quantum field theory. It is assumed that the moving particle binds to a wave of the aether disturbance, and only this wave acts on the other particle like an electromagnetic field pushes an electrical charge. The model of colliding elastic balls becomes inapplicable, but equations of relativity mechanics remain the same, however, with a new interpretation. The mass of a particle in all coordinate systems is constant, in exchange the expressions of energy and momentum alter relative the classical case, include the property of aether – coefficient c of the wave equation, and acquire relativistic forms.
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.
Abstract Quantum mechanics and relativity are two of the most successful theoretical frameworks in modern physics, yet their conceptual foundations remain difficult to reconcile at the deepest level. Quantum theory describes physical systems through states, observables, probabilities, measurement contexts, superposition, entanglement, and nonclassical correlations. Relativity describes physical processes through space-time structure, causal order, invariant physical law, observer-dependent decomposition of time and space, and constraints on signal propagation. This article examines the conceptual relationship between quantum measurement, relativistic causality, and space-time description. The purpose is not to present a mathematical unification but to analyze how the two frameworks organize physical explanation differently and where their interpretive tensions arise. Special attention is given to the measurement problem, the status of quantum states, the role of observers and reference frames, the meaning of locality, the distinction between correlation and causal influence, and the challenge of describing quantum processes without privileging a single global time. The article argues that many apparent conflicts between quantum theory and relativity result from importing classical intuitions into domains where they no longer apply. Quantum entanglement does not permit controllable faster-than-light communication, yet it challenges classical separability. Relativity forbids superluminal signaling, yet it does not require that all physically meaningful correlations be reducible to local classical properties. Measurement introduces another difficulty because standard quantum theory often describes state update in a way that appears instantaneous, while relativistic space-time does not provide a universal present. The discussion develops a conceptual framework in which quantum measurement is treated as a physical interaction, relativistic causality as a constraint on operational influence, and space-time description as an organizing structure for events rather than a simple background stage. This analysis is relevant for quantum field theory, quantum information, relativistic quantum foundations, and future approaches to quantum gravity.