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

Physics Letters A

Unification theory of classical statistical uncertainty relation and quantum uncertainty relation and its applications

Changyu Huang, Yong-Chang Huang

Published Nov 9, 2010• 12 citations
Publisher
DOI
10.1016/j.physleta.2010.11.005

Related papers

Quantum Information Theory and Uncertainty Relation

Kenjiro Yanagi

IEICE Technical Report; IEICE Tech. Rep.•Nov 19, 2019•0 citations

Nature of Reality According to Einstein’s Statistical-Thermodynamic and Geometric Ideas Today

Alexander D. Sukhanov, O. N. Golubjeva

It is shown that among the manifold scientific legacy of Einstein, his statistical‐thermodynamic and geometric ideas take on a special significance today. A special attention is paid to his role as a founder of holistic understanding of Nature . His geometric thinking allowed creating not only special and general relativity but complete classical physics as a holistic classical version of the physical picture of the world. His statistical‐thermodynamic thinking allowed creating not only outstanding statistical and quantum theories but opened a way to unification of these theories and to becoming a nonclassical version of physical picture of the world. At last, it is demonstrated that Einstein’s discoveries proved the funadamental status of Boltzmann’s constant and allowed distinguishing micro‐ and macrolevels of Nature describing.The influence of Einstein’s geometrical approach on the modem theoretical physics methods is discussed. It is analyzed some different forms of uncertainties relations, including Shroedinger’s uncertainties relations, as some geometrical restrictions on mutual relations between quantities or their fluctuations in the nonclassical theories. By this means an opportunity of mutual transitions of thermal and quantum fluctuations at high and low temperatures is considered.Admitting the existence of two versions of the physical picture of the world and two levels of Nature describing, a physics structure in the form of planar table is proposed. Each group of theories in the table cell responds to the corresponding version of PPW and level of Nature describing. As a result each of the group uniquely corresponds to one of four fundamental constants c, GN, ℏ, kB. As another image of this structure is offered a tetrahedron jointing four groups of theories.

AIP conference proceedings•Jan 1, 2006•0 citations

Relative Measurement Theory the Unification of Experimental and Theoretical Measurements

Kenneth R Krechmer

The discontinuous, non-causal and instantaneous changes due to a measurement that appear in quantum mechanics (QM) theory are not consistent with a classical understanding of physical reality, but are completely confirmed by experiments. Relative measurement theory explains why. This paper presents the first formal development of an experimental measurement which includes the uncertainty due to calibration and resolution. The uncertainty due to calibration and resolution, previously considered experimental artifacts, is shown to be equal to the uncertainty that appears in QM theory and experiment. When the calibration to a reference and resolution effects are considered, all the QM measurement discontinuities are consistent with classical explanations.

•Feb 1, 2019•1 citation

Generalization of uncertainty relation for quantum and stochastic systems

Tomoi Koide C, Takeshi Kodama

arXiv:1208.0258•Physics Letters A•Apr 6, 2018•22 citations

Remarks on uncertainties relations in quantum physics and beyond it

pO N Golubjeva, L A Minasyanp

Journal of Physical Chemistry & Biophysics•Nov 29, 2018•0 citations

Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter

Y. C. HUANG, Ma, F C, N. ZHANG

Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a general new continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, the general classical statistical uncertain relation is generally generalized to quantum uncertainty principle, the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among uncertainty principle, singularity and condensed matter stability, discover that quantum uncertainty principle prevents from the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics, and we discover that only saying that the classical limit of quantum mechanics is classical mechanics is mistake. As application examples, we deduce both Shrodinger equation and state superposition principle, deduce that there exist decoherent factor from a general mathematical representation of state superposition principle, and the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.

•Jun 9, 2005•10 citations
It is shown that among the manifold scientific legacy of Einstein, his statistical‐thermodynamic and geometric ideas take on a special significance today. A special attention is paid to his role as a founder of holistic understanding of Nature . His geometric thinking allowed creating not only special and general relativity but complete classical physics as a holistic classical version of the physical picture of the world. His statistical‐thermodynamic thinking allowed creating not only outstanding statistical and quantum theories but opened a way to unification of these theories and to becoming a nonclassical version of physical picture of the world. At last, it is demonstrated that Einstein’s discoveries proved the funadamental status of Boltzmann’s constant and allowed distinguishing micro‐ and macrolevels of Nature describing.The influence of Einstein’s geometrical approach on the modem theoretical physics methods is discussed. It is analyzed some different forms of uncertainties relations, including Shroedinger’s uncertainties relations, as some geometrical restrictions on mutual relations between quantities or their fluctuations in the nonclassical theories. By this means an opportunity of mutual transitions of thermal and quantum fluctuations at high and low temperatures is considered.Admitting the existence of two versions of the physical picture of the world and two levels of Nature describing, a physics structure in the form of planar table is proposed. Each group of theories in the table cell responds to the corresponding version of PPW and level of Nature describing. As a result each of the group uniquely corresponds to one of four fundamental constants c, GN, ℏ, kB. As another image of this structure is offered a tetrahedron jointing four groups of theories.
The discontinuous, non-causal and instantaneous changes due to a measurement that appear in quantum mechanics (QM) theory are not consistent with a classical understanding of physical reality, but are completely confirmed by experiments. Relative measurement theory explains why. This paper presents the first formal development of an experimental measurement which includes the uncertainty due to calibration and resolution. The uncertainty due to calibration and resolution, previously considered experimental artifacts, is shown to be equal to the uncertainty that appears in QM theory and experiment. When the calibration to a reference and resolution effects are considered, all the QM measurement discontinuities are consistent with classical explanations.
Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a general new continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, the general classical statistical uncertain relation is generally generalized to quantum uncertainty principle, the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among uncertainty principle, singularity and condensed matter stability, discover that quantum uncertainty principle prevents from the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics, and we discover that only saying that the classical limit of quantum mechanics is classical mechanics is mistake. As application examples, we deduce both Shrodinger equation and state superposition principle, deduce that there exist decoherent factor from a general mathematical representation of state superposition principle, and the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.