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Journal of Modern Physics

Evolution, Quantization, Relativity: An “Ab Initio” Model

Sebastiano Tosto

Published Jan 1, 2018• 3 citations
Publisher

Abstract

“= everything flows”, Eraclitus, (Ephesus, 535-475 B.C.). If really in Nature everything changes and progresses, then at least two questions arise: 1) how can be these changes entropic but nonetheless somehow predictable without risk of oxymoronic behavior; 2) how can Science conform itself to follow this requirement of the Nature. To attempt an answer to these questions, the present paper introduces an ab initio theoretical model aimed to show that physical information is actually nothing else but straightforward quantum and relativistic implication of the concept of evolution.

DOI
10.4236/jmp.2018.914161

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“= everything flows”, Eraclitus, (Ephesus, 535-475 B.C.). If really in Nature everything changes and progresses, then at least two questions arise: 1) how can be these changes entropic but nonetheless somehow predictable without risk of oxymoronic behavior; 2) how can Science conform itself to follow this requirement of the Nature. To attempt an answer to these questions, the present paper introduces an ab initio theoretical model aimed to show that physical information is actually nothing else but straightforward quantum and relativistic implication of the concept of evolution.
Certainly there is no unique answer to Frank Wilczek’s question, “What Is Quantum Theory?” (Physics Today, June 2000, page 11). I was not certain that a pragmatic answer, which I proposed for a course in applied quantum mechanics, 1 1. W. A. Harrison, Applied Quantum Mechanics, World Scientific, River Edge, N.J. (2000). would be sustainable for the entire course, but it seems that it was. That answer was the assertion that everything is both a particle and a wave, and that everything else would follow from that one assertion. Planck’s constant arose when the velocity of a wave (the derivative of the frequency with respect to wavenumber) was equated to the velocity of a particle (the derivative of the energy with respect to momentum), so that energy is proportional to frequency and momentum to wavenumber, with the same proportionality constant ħ. When Hamiltonian mechanics was introduced, “everything” became anything that can be described by such mechanics, or anything that satisfies a wave equation. Quantum theory does not say what nature gives, only how to predict the behavior of what is given. If nature serves up particles with half-integral angular momentum, the wavefunction that describes them must go into its negative when they are interchanged, and they therefore obey the Pauli principle.Such principles, which historically arose as independent conjectures, now follow from the one assertion. It is a matter of seeing how this peculiar assertion can turn out to be absolutely true.The relation between quantum theory and the physical world was seen as follows: Quantum theory tells what future scenarios are consistent with some initial information, and what the relative probability of each scenario is. Quantum theory cannot tell more than that, but neither can any other theory.My pragmatic approach may not satisfy everyone’s philosophical needs. But the aim of an applied quantum course is to see how to use the theory and to introduce the many approximations that have made the theory accessible to physicists and engineers. If some basic consequences are difficult to accept, the problem must lie with the initial assertion from which the consequences follow.REFERENCESection:ChooseTop of pageREFERENCE <<1. W. A. Harrison, Applied Quantum Mechanics, World Scientific, River Edge, N.J. (2000). Google ScholarCrossref© 2001 American Institute of Physics.
The twentieth century has seen two major revolutions in our theories of physics concerning nature, and these have made us change many of our concepts about the terms in which nature can be described. The new theories born in these revolutions are the theory of relativity and of quantum mechanics. The biological sciences had their revolutions in the nineteenth century, and while remarkable progress has been made since, nothing comparable to that upheaval has occurred in this century. Of the two massive changes in the concepts of the physical sciences, we can discuss but one here. [excerpt]
There are several links between information theory — between »information as such« whatever that might mean — and the foundations of nature, i e, basic physics. Well, since physics a science still evolving (despite propositions that »the end of science« now in sight), some of the links between information and physics are hypothetical. One linkage fairly obvious — thermodynamics depends upon entropy or some measure of order or disorder, and that clearly has something to do with information. The other possible relationship might be between the uncertainty that a key characteristic of quantum mechanics. We can never know everything on the quantum scale; the Heisenberg uncertainty principle tells that the more information we gain in one direction the less we know in another. If we, on that scale, obtain certainty as to one factor, then another will stay entirely undecided — try to affix a position to a quantum particle, and the momentum will be out of bounds entirely. (This the established dogma currently, though there are some deviating ideas.1) Then the question arises: who does the actual measuring, with what — what particles, at what level, are involved in this act of, as it pronounced, forcing the wave function to collapse? This wave function is the indeterminate particle: the various statistics describing the probabilities that the particle (which simultaneously takes on aspects of a wave) may be in one state or another. We will now attempt to discuss these different — or are they really different? — interdependencies, starting with black holes.
Information is treated by classical physics, relativity theory, and quantum mechanics as an epistemic variable, with no significance in their mathematical models. All currently accepted conceptions of information and entropy are subjective, observer-related. We have proposed (Ospino 2026) considering information as an ontic category with energy equivalence and energetic meaningfulness, and making it part of the complete balance of physical evolution. The history of science is the history of useful but incomplete models derived under the reliance of approximations and simplifications. Every such model was contemporarily considered complete until the contrary fact was demonstrated. Unitarity and determinism are generally regarded as a complete understanding of physical evolution. The empirical success and practical usefulness of such assumptions is undeniable, as every model before was also for a certain time, until it was not. Motivated by the information-energy equivalence (Landauer, Vopson), and by the possibility of resolving some open questions not explainable under the current understanding, we introduced ontic information into consideration, and we are presenting here some derived conclusions for further analysis and discussion. We emphasize that the epistemic nature of information and entropy as per Shannon and von Neumann (and related approaches) needs to be consequently updated with the ontic understanding, or else the analysis will be flawed when using epistemic approaches. Also, since unitarity is the concept in question here, we rely on acceptance, for the purpose of the discussion, that unitarity could be incomplete.
www.philipgoyal.org Quantum theory is an extraordinarily successful physical theory. But what does it mean? What implications does it have for the mechanical conception of Nature that underlies classical physics? Remarkably, some eighty years after the creation of quantum theory, we still lack clear answers to these questions. In this paper, we discuss the nature of the obstacles that stand in our way, and describe recent work to overcome them by attempting to reconstruct the mathematics of quantum theory from a small number of simple physical ideas.