Physics as Information Processing

In 1905 Albert Einstein wrote a paper called "Zur Elektrodynamik bewegter Körper"(which means "On the electrodynamics of moving bodies")[1]. In the text, Albert Einstein, future Nobel Prize laureate, presented a theory that would bring a revolution to physics. In contrast with Planck´s ideas on the fundamental scale, presented in part 1, Einstein´s Special Relativity theory has been tested with great precision in many experiments, from GPS systems to particle accelerators. After acknowledging the great success of the theory, and it´s wide range of applications, I would like to point out that the theory is more than one hundred years old, so the amount of data that a general physical theory has to make sense of now, is much bigger. Also, the theory is not a discrete spacetime theory. I will present here a new discrete spacetime theory, which produces the same results as the Special Relativity Theory, for relativistic calculations of momentum, energy, and mass, but will produces different results in some experiments in superconductivity, quantum computing, and gravitation. I look forward to confronting both theories with observations. Another advantage of the discrete spacetime theory, is that Lorentz transformation and other equations from Special Relativity and Quantum Mechanics are derived directly and easily from fundamentals. I will name the discrete spacetime theory here presented, as Information Mechanics. A new particle will be predicted, the durino.

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 special version of the theory for translational inertial motion 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. 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. The general version of the theory for gravitational and electrostatic fields, also detailed in the paper, is shown to be successful in predicting and explaining the strong force, quantum confinement, and asymptotic freedom.

arXiv (Cornell University), 2021

Quantum information theorists have created axiomatic reconstructions of quantum mechanics (QM) that are very successful at identifying precisely what distinguishes quantum probability theory from classical and more general probability theories in terms of information-theoretic principles. Herein, we show how one such principle, Information Invariance & Continuity, at the foundation of those axiomatic reconstructions maps to "no preferred reference frame" (NPRF, aka "the relativity principle") as it pertains to the invariant measurement of Planck's constant h for Stern-Gerlach (SG) spin measurements. This is in exact analogy to the relativity principle as it pertains to the invariant measurement of the speed of light c at the foundation of special relativity (SR). Essentially, quantum information theorists have extended Einstein's use of NPRF from the boost invariance of measurements of c to include the SO(3) invariance of measurements of h between different reference frames of mutually complementary spin measurements via the principle of Information Invariance & Continuity. Consequently, the "mystery" of the Bell states that is responsible for the Tsirelson bound and the exclusion of the no-signalling, "superquantum" Popescu-Rohrlich joint probabilities is understood to result from conservation per Information Invariance & Continuity between different reference frames of mutually complementary qubit measurements, and this maps to conservation per NPRF in spacetime. If one falsely conflates the relativity principle with the classical theory of SR, then it may seem impossible that the relativity principle resides at the foundation of non-relativisitic QM. In fact, there is nothing inherently classical or quantum about NPRF. Thus, the axiomatic reconstructions of QM have succeeded in producing a principle account of QM that reveals as much about Nature as the postulates of SR.

The Informational Conception and Basic Physics, 2015

In our previous arXiv papers (“The Information and the Matter”, v1, v5; more systematically the informational conception is presented in the paper “The Information as Absolute”, 2014) it was rigorously shown that Matter in our Universe – and Universe as a whole - are some informational systems (structures), which exist as uninterruptedly transforming [practically] infinitesimal sub-sets of the absolutely infinite and fundamental “Information” Set. Such a conception allows not only to clear essentially a number of metaphysical and epistemological problems in philosophy but, besides, allows to suggest a reasonable physical model. Since Matter in Universe is an informational system where every interaction between Matter’s sub-structures, i.e. – particles and systems of the particles – happens always as an exchange by exclusively true information between these structures, the model is based on the conjecture that Matter is some analogue of computer. This conjecture, in turn, allows to introduce in the model the basic logical elements that constitute the material structures and support the informational exchange - i.e. the forces - between the structures. The model is experimentally testable and yet now makes be more clear a number of basic problems in special relativity, quantum mechanics, and, rather probably, in [now – in Newtonian] gravity. This paper is a next upgrade of earlier version http://arxiv.org/abs/0707.4657, 2012 This text contains two version of the paper: English version (pages 1-40) and Russian version (pages 41-86)

Foundations of Physics

We attempt to describe geometry in terms of informational quantities for the universe considered as a finite ensemble of correlated quantum particles. As the main dynamical principle, we use the conservation of the sum of all kinds of entropies: thermodynamic, quantum and informational. The fundamental constant of speed is interpreted as the information velocity for the world ensemble and also connected with the gravitational potential of the universe on a particle. The two postulates, which are enough to derive the whole theory of Special Relativity, are re-formulated as the principles of information entropy universality and finiteness of information density.

The present article proposes an epistemic approach to relativity, termed information relativity theory, and utilized to describe the dynamics of inertial systems. For this purpose, we consider a physical system in which an observer receives information about measurements taken in another reference-frame moving with constant velocity v relative to the observer's frame. Unlike existing ontic relativity theories, we avoided questions pertaining to the true state of nature. We only ask how physical measurements taken in the "moving" frame are transformed when they are received in the observer's "rest" frame. We specify that information is communicated using an information carrier with known velocity Vc > v). We make no other assumptions. 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 low velocities (v << Vc), all the transformations reduce to the classical Newtonian formulas. In addition to being axiom-free, the proposed theory is scale-independent, implying that it applies to all "moving" bodies regardless of their mass and physical size. It is also scale-independent with regard to the velocity of the information carrier, provided that it is larger than the relative velocity of the "moving" bodies. Inspection of the energy density term confirms with Einstein's and de Broglie's models of matter-wave duality and sheds new light on the interplay between a particle matter and its accompanying wave as simultaneous carriers of a moving body's total energy. The revealed matter-wave duality model is utilized for predicting and explaining important quantum phenomena and cosmological observations.

From a theory of an abstract quantum information the theory of general relativity can be deduced by means of few and physically good founded reasons. "Abstract" quantum information means that primarily no special meaning is connected with it. Therefore it is named with a new denotation: Protyposis. From the Protyposis and by using group-theoretical methods follows a cosmological model, which has an isotropic and homogeneous metric and solves the so-called cosmological problems. The Protyposis is subject to an equation of states for energy density and pressure that fulfils all the energy conditions and that also gives an explanation for the "dark energy." If it is demanded that the relations between the spacetime structure and the material content in it should remain valid also for variations from this ideal cosmology, then general relativity results from this quantum theoretical considerations as being a description for local inhomogenities of spacetime.

2014

One of the most important open questions in physics is the possibility of reconciliation, and perhaps unification, between quantum theory and relativity theory. Here I show that a relativity theory without the Lorentz Invariance Principle, termed Complete Relativity, reconciles with quantum mechanics at significant meeting points: It explains the quantum criticality at the Golden Ratio. More importantly, it confirms with Planck's energy. These results are quite astounding, given the fact that Complete Relativity, like Special Relativity, is a deterministic model of the dynamics of moving bodies. An application of the theory to cosmology, discussed in a recent paper, revealed that it yields definitions of dark matter and dark energy, and predicts the contents of the universe with impressive accuracy. Taken together, these results raise the exciting possibility that physics at the quantum scale, and at the cosmological scale, are the two faces of one coin: The coin of relativity.

Quo Vadis Quantum Mechanics?, 2005

2010

I will argue that the proposal of establishing operational foundations of Quantum Theory should have top-priority, and that the Lucien Hardy's program on Quantum Gravity should be paralleled by an analogous program on Quantum Field Theory (QFT), which needs to be reformulated, notwithstanding its experimental success. In this paper, after reviewing recently suggested operational "principles of the quantumness", I address the problem on whether Quantum Theory and Special Relativity are unrelated theories, or instead, if the one implies the other. I show how Special Relativity can be indeed derived from causality of Quantum Theory, within the computational paradigm "the universe is a huge quantum computer", reformulating QFT as a Quantum-Computational Field Theory (QCFT). In QCFT Special Relativity emerges from the fabric of the computational network, which also naturally embeds gauge invariance. In this scheme even the quantization rule and the Planck constant can in principle be derived as emergent from the underlying causal tapestry of space-time. In this way Quantum Theory remains the only theory operating the huge computer of the universe.