Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The Physical Medium of the Universal

Vladislav Mirkin

Published Jul 1, 2016• 0 citations
OpenAlex

Abstract

The transformation mechanism of principles of classical mechanics in statistical interpretation of the quantum theory are shown. Physical interpretation of the principle of uncertainty and the dimension of Planck’s constant (J/Hz instead J∙s) is given. Inexplicable before phenomenon, taking place in experiments and supervision, are explained.

Related papers

On the Generalized Uncertainty Principle

Ming-Cheng Chen, Chao‐Yang Lu, Jian-Wei Pan

Generalized Uncertainty Principle (GUP), which manifests a minimal Planck length in quantum spacetime, is central in various quantum gravity theories and has been widely used to describe the Planck-scale phenomenon. Here, we propose a thought experiment based on GUP – as a quantum version of Galileo's falling bodies experiment – to show that the experimental results cannot be consistently described in quantum mechanics. This paradox arises from the interaction of two quantum systems in an interferometer, a photon and a mirror, with different effective Planck constants. Our thought experiment rules out the widely used GUP, and establishes a Quantum Coupling Principle that two physical systems of different effective Planck constants cannot be consistently coupled in quantum mechanics. Our results point new directions to quantum gravity.

•Aug 12, 2021•7 citations

On the quantum theory of measurement

Paul K. Feyerabend

THE PROBLEM Within classical physics the relation between physical theory and ordinary experience was conceived in the following way: ordinary experience is something that can be described and understood in terms of physics. Such a description involves, apart from physical theory, certain approximations. But the conditons under which those approximations apply (they correspond to the initial conditions of, say, celestial mechanics), taken together with the theory, are supposed to be sufficient for giving a full account of ordinary experience. Consequently, classical theory of measurement (which, like any other theory of measurement, links together terms of ordinary experience and theoretical terms), is a piece of applied physics and all processes which happen during measurement can be analysed on the basis of the equations of motion only. When we enter quantum mechanics (QM), we are apparently presented with a completely different picture. For according to the current interpretation of elementary quantum mechanics, ordinary experience – and this now means classical physics – and physical theory (and this now means QM), belong to two completely different levels and it is impossible to give an account of the first in terms of the second. Any transition from the quantum level to the level of classical physics must be taken, not as a transition within QM from the general to the particular, but as an essentially new element which is incapable of further analysis.

Cambridge University Press eBooks•Oct 29, 1981•19 citations

Why Disconnected Steps for Electrons Become Smooth Processes for Galaxies

James E Beecham

Quantum mechanics reveals that nature operates through discrete units of actioncharacterized by Planck's constant, (h). Individual electrons exchange energy in quantizedsteps, possess de Broglie wavelengths, obey Schrödinger evolution, and are subject toHeisenberg uncertainty. Yet galaxies, stars, planets, and fluids exhibit smooth, continuousbehavior seemingly disconnected from these microscopic rules. This apparent divide hastraditionally been interpreted as evidence that quantum mechanics governs only themicroscopic world while classical mechanics governs the macroscopic world.This paper proposes an alternative interpretation within the Space-Phase (SP3) framework.It argues that both quantum and classical behavior arise from the same underlyingconditionable medium. Planck's constant is interpreted not primarily as a property ofmatter or radiation, but as the minimum quantum of reorganization of that medium.Individual particles negotiate the medium one elementary action step at a time, whereasmacroscopic systems involve astronomically large numbers of simultaneousreorganizations whose collective average appears continuous. In this view, classicalmechanics is not separate from quantum mechanics but represents the statistical limit ofcountless microscopic groove transitions occurring together.The proposed groove model offers a physical interpretation of why discontinuousmicroscopic processes naturally become smooth macroscopic dynamics while preservingthe common role of Planck's constant throughout quantum physics.

•Jul 4, 2026•0 citations

The uncertainty principle and the statistical interpretation of quantum mechanics

L. E. Ballentine

It is reemphasized that the uncertainty principle applies to state preparation rather than to measurement. An objection by Robinson to the statistical interpretation of quantum mechanics is shown to be unjustified.

Canadian Journal of Physics•Nov 1, 1969•2 citations

Quantum mechanics on Hilbert manifolds: The principle of functional relativity

Alexey A. Kryukov

Quantum mechanics is formulated as a geometric theory on a Hilbert manifold. Images of charts on the manifold are allowed to belong to arbitrary Hilbert spaces of functions including spaces of generalized functions. Tensor equations in this setting, also called functional tensor equations, describe families of functional equations on various Hilbert spaces of functions. The principle of functional relativity is introduced which states that quantum theory is indeed a functional tensor theory, i.e., it can be described by functional tensor equations. The main equations of quantum theory are shown to be compatible with the principle of functional relativity. By accepting the principle as a hypothesis, we then explain the origin of physical dimensions, provide a geometric interpretation of Planck’s constant, and find a simple interpretation of the two-slit experiment and the process of measurement.

•Jan 1, 2006•13 citations

Introduction

John von Neumann

This introductory chapter provides a brief summary of the discussions in the succeeding chapters. Here, the new quantum mechanics has in recent years achieved in its essential parts what is presumably a definitive form: the so-called “transformation theory.” Therefore the principal emphasis shall be placed on the general and fundamental questions which have arisen in connection with this theory. In particular, the difficult problems of interpretation, many of which are even now not fully resolved, will be investigated in detail. In this connection, the relation of quantum mechanics to statistics and to the classical statistical mechanics is of special importance.

Princeton University Press eBooks•Feb 27, 2018•0 citations
The transformation mechanism of principles of classical mechanics in statistical interpretation of the quantum theory are shown. Physical interpretation of the principle of uncertainty and the dimension of Planck’s constant (J/Hz instead J∙s) is given. Inexplicable before phenomenon, taking place in experiments and supervision, are explained.
Generalized Uncertainty Principle (GUP), which manifests a minimal Planck length in quantum spacetime, is central in various quantum gravity theories and has been widely used to describe the Planck-scale phenomenon. Here, we propose a thought experiment based on GUP – as a quantum version of Galileo's falling bodies experiment – to show that the experimental results cannot be consistently described in quantum mechanics. This paradox arises from the interaction of two quantum systems in an interferometer, a photon and a mirror, with different effective Planck constants. Our thought experiment rules out the widely used GUP, and establishes a Quantum Coupling Principle that two physical systems of different effective Planck constants cannot be consistently coupled in quantum mechanics. Our results point new directions to quantum gravity.
THE PROBLEM Within classical physics the relation between physical theory and ordinary experience was conceived in the following way: ordinary experience is something that can be described and understood in terms of physics. Such a description involves, apart from physical theory, certain approximations. But the conditons under which those approximations apply (they correspond to the initial conditions of, say, celestial mechanics), taken together with the theory, are supposed to be sufficient for giving a full account of ordinary experience. Consequently, classical theory of measurement (which, like any other theory of measurement, links together terms of ordinary experience and theoretical terms), is a piece of applied physics and all processes which happen during measurement can be analysed on the basis of the equations of motion only. When we enter quantum mechanics (QM), we are apparently presented with a completely different picture. For according to the current interpretation of elementary quantum mechanics, ordinary experience – and this now means classical physics – and physical theory (and this now means QM), belong to two completely different levels and it is impossible to give an account of the first in terms of the second. Any transition from the quantum level to the level of classical physics must be taken, not as a transition within QM from the general to the particular, but as an essentially new element which is incapable of further analysis.
Quantum mechanics reveals that nature operates through discrete units of actioncharacterized by Planck's constant, (h). Individual electrons exchange energy in quantizedsteps, possess de Broglie wavelengths, obey Schrödinger evolution, and are subject toHeisenberg uncertainty. Yet galaxies, stars, planets, and fluids exhibit smooth, continuousbehavior seemingly disconnected from these microscopic rules. This apparent divide hastraditionally been interpreted as evidence that quantum mechanics governs only themicroscopic world while classical mechanics governs the macroscopic world.This paper proposes an alternative interpretation within the Space-Phase (SP3) framework.It argues that both quantum and classical behavior arise from the same underlyingconditionable medium. Planck's constant is interpreted not primarily as a property ofmatter or radiation, but as the minimum quantum of reorganization of that medium.Individual particles negotiate the medium one elementary action step at a time, whereasmacroscopic systems involve astronomically large numbers of simultaneousreorganizations whose collective average appears continuous. In this view, classicalmechanics is not separate from quantum mechanics but represents the statistical limit ofcountless microscopic groove transitions occurring together.The proposed groove model offers a physical interpretation of why discontinuousmicroscopic processes naturally become smooth macroscopic dynamics while preservingthe common role of Planck's constant throughout quantum physics.
Quantum mechanics is formulated as a geometric theory on a Hilbert manifold. Images of charts on the manifold are allowed to belong to arbitrary Hilbert spaces of functions including spaces of generalized functions. Tensor equations in this setting, also called functional tensor equations, describe families of functional equations on various Hilbert spaces of functions. The principle of functional relativity is introduced which states that quantum theory is indeed a functional tensor theory, i.e., it can be described by functional tensor equations. The main equations of quantum theory are shown to be compatible with the principle of functional relativity. By accepting the principle as a hypothesis, we then explain the origin of physical dimensions, provide a geometric interpretation of Planck’s constant, and find a simple interpretation of the two-slit experiment and the process of measurement.
This introductory chapter provides a brief summary of the discussions in the succeeding chapters. Here, the new quantum mechanics has in recent years achieved in its essential parts what is presumably a definitive form: the so-called “transformation theory.” Therefore the principal emphasis shall be placed on the general and fundamental questions which have arisen in connection with this theory. In particular, the difficult problems of interpretation, many of which are even now not fully resolved, will be investigated in detail. In this connection, the relation of quantum mechanics to statistics and to the classical statistical mechanics is of special importance.