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The Holographic Nature of Quantum Mechanics

Vitaly Kuyukov Petrovich

Published Sep 1, 2014• 0 citations
OpenAlex

Abstract

This article applies the holographic principle to obtain the basic provisions holographic quantum mechanics and is an entirely new interpretation of the principle of the Heisenberg uncertainty over the measurement information about the state of the quantum object.

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Objects Produce Time: The Last Barrier Between Relativity and Quantum Mechanics

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Heisenberg’s Uncertainty Principle is one of the important basic principles of quantum mechanics. In most of the books on quantum mechanics, this uncertainty principle is generally illustrated with the help of a gamma ray microscope, wherein neither the image formation criterion nor the lens properties are taken into account. Thus a better illustration is required for the clear understanding of this principle. In this article we illustrate Heisenberg’s uncertainty principle with a new thought experiment that could be called as gamma ray telescope with the inclusion of properties of the lens and quantum nature of light.
Quantum mechanics' formal core is a handful of objects---the wavefunction that encodes a state, the operators that act on it, the commutators that measure their incompatibility, and the uncertainty principle that the commutators imply---and the theory's history is the story of how those objects were given. This article presents a narrative review of the primary literature that gave them, from Heisenberg's 1925 umdeutung---the reinterpretation that replaced orbits with arrays of transition amplitudes---and Schrödinger's 1926 quantization as an eigenvalue problem, which wrote the wave equation and proved the equivalence with matrix mechanics, through Born's 1926 probability interpretation of the wavefunction, Heisenberg's 1927 uncertainty paper, Robertson's 1929 general commutator inequality, Pauli's 1926 solution of the hydrogen spectrum by the new mechanics, Bohr's 1928 quantum postulate and complementarity, Weyl's 1928 group theory and quantum mechanics, Dirac's 1930 Principles, which organized the formalism's transformations, and von Neumann's 1932 mathematical foundations, which gave the theory its Hilbert space, to the Einstein-Podolsky-Rosen 1935 argument that tested what the formalism claims about reality. The synthesis is organized around three themes: the state's representations, in which matrix and wave mechanics were shown to be one theory; the uncertainty structure, in which commutators became the measure of incompatibility and the uncertainty principle its theorem; and the formalism's completion, in which Hilbert space, transformations, and the measurement problem gave the objects their rigorous home. It is concluded that the formal core's construction is physics' most consequential algebra---the theory's content located not in its pictures but in its operators' relations.
1. For any physical object, background time is meaningless; only proper time exists as a private property, determined entirely by the object itself. Without relying on special relativity, this paper independently derives the mathematical formula for how an object constructs its own time, and shows that it agrees with all experimental results of special and general relativity. 2. Based on this active timekeeping mechanism, the discreteness and intrinsic instability of time naturally lead to time quantization, the uncertainty principle, probabilistic interpretation, and measurement decoherence, thereby removing the last barrier between relativity and quantum mechanics concerning the nature of time. 3. This is a completely new theoretical framework of “objects actively constructing and controlling time”, providing a fundamental basis for unifying quantum mechanics and relativity.