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Physics Today

The Historical Development of Quantum Theory. Volume 6: The Completion of Quantum Mechanics, 1926-1941. Part 1: The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926-1932

Jagdish Mehra, Helmut Rechenberg, Silvan S. Schweber

Published Nov 1, 2001• 8 citations
OpenAlex

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The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926–1932

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The Historical Development of Quantum Theory. Volume 6: The Completion of Quantum Mechanics, 1926-1941

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The Historial Development of Quantum Theory. Volume 6: The Completion of Quantum Mechanics, 1926-1941. Part 2: The Conceptual Completion and the Extensions of Quantum Mechanics 1932-1941. Epilogue: Aspects of the Further Development of Quantum Theory 1942-1999

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Global Realism: A Three-Axiom Mathematical Foundation for Finite Topological Matter, Physical Spacetime Vacuum, Causal Historical Dynamics, Quantum Representation, Gravitation, Statistical Reduction, and the Complete Theory

Kianming(Jianming) Wang

This volume is the foundational and mathematical entry point of the global-realism theory tower. Exactly three physical axioms are retained: microscopic ontic definiteness with finite localization, physical reality of a dynamical spacetime–vacuum substrate, and persistent causal retarded source–response coupling. Wave functions, Hilbert and Fock spaces, Born probabilities, gauge groups, Einstein equations, entropy, temperature, particle species, chemical bonds, life, information, and complexity are not additional physical axioms. They enter only as representations, conditional theorems, controlled limits, effective models, computations, observations, or downstream organizational levels. The volume establishes a many-sorted formal language, an anti-confusion type discipline, a theory-layer category, conservative import maps, an acyclic dependency graph, state and parameter certificates, and universal uncertainty and rejection rules. Later parts connect this common spine to finite topological matter, causal historical dynamics, gravitation, quantum representation, statistical reduction, macroscopic projection, observation, and the specialized physics, chemistry, biology, Earth-system, astronomical, and complex-system volumes. These interfaces authorize downstream inputs but do not replace the full calculations owned by those volumes. All nonstandard claims remain conditional on existence, stability, causal realization, independent calibration, standard-theory subtraction, and held-out tests. The purpose is internal architectural closure and empirical accountability, not a claim that three axioms already compute every law or that nature has been shown to realize the proposed history and finite-core sectors. Keywords **Global realism; three physical axioms; finite topological matter; physical spacetime vacuum; causal historical dynamics; quantum representation; gravitation; statistical reduction; acyclic theory tower; uncertainty quantification; falsifiability.** Note on the Two Versions **This paper is available in two versions. Readers interested in the original ideas and the development of the manuscript are encouraged to consult the original version. For a more systematic presentation and a deeper understanding of the complete theoretical framework, we recommend reading both versions.**

•Aug 9, 2026•0 citations

The Foundations of quantum mechanics : historical analysis and open questions, Cesena, Italy 4-9 October 2004

Open Question, Claudio Garola, Arcangelo Rossi +1 more

New Perspectives on Fundamental Problems in Quantum Mechanics: Theory of Measurement Macroscopic Interpretability of Quantum Subsystems Objective Background for Quantum Theory Operational Probability Theory (OPT) and Conditional Probabilities Entanglement and Non-Locality Wave-Particle Duality, Double Slit Experiments Complementarity Operational Definition of Observables Simulation of Quantum Features De Broglie-Bohm Model Interdisciplinary Issues: Parastatistics in Econophysics Propositions in Classical and Quantum Physics Statistical Criticism of the Double Slit Experiment Chemical Valence as Relational Property Quantum Computer View (QCV) at the Planck Scale Historical, Philosophical and Epistemological Inquiries: The First Steps of Quantum Electrodynamics Electromagnetism and Quantum Physics Mathematics and Epistemology in Planck's Work Logic and Mathematics in Heisenberg's Formulation Reality and Nanotechnologies Non-Empirically Decidable Properties in Modern Physics Computability of Physical Theories Entrance of Quantum Mechanics in Italy Gramsci and Quantum Mechanics Italic Tradition on the Question of Physical Objectivity.

WORLD SCIENTIFIC eBooks•Jan 1, 2006•0 citations

The development of quantum theory. Part I. Formulation and interpretation

Ronald F. Peierls

(1964). The development of quantum theory. Part I. Formulation and interpretation. Contemporary Physics: Vol. 6, No. 2, pp. 129-139.

Contemporary Physics•Dec 1, 1964•1 citation
This volume is the foundational and mathematical entry point of the global-realism theory tower. Exactly three physical axioms are retained: microscopic ontic definiteness with finite localization, physical reality of a dynamical spacetime–vacuum substrate, and persistent causal retarded source–response coupling. Wave functions, Hilbert and Fock spaces, Born probabilities, gauge groups, Einstein equations, entropy, temperature, particle species, chemical bonds, life, information, and complexity are not additional physical axioms. They enter only as representations, conditional theorems, controlled limits, effective models, computations, observations, or downstream organizational levels. The volume establishes a many-sorted formal language, an anti-confusion type discipline, a theory-layer category, conservative import maps, an acyclic dependency graph, state and parameter certificates, and universal uncertainty and rejection rules. Later parts connect this common spine to finite topological matter, causal historical dynamics, gravitation, quantum representation, statistical reduction, macroscopic projection, observation, and the specialized physics, chemistry, biology, Earth-system, astronomical, and complex-system volumes. These interfaces authorize downstream inputs but do not replace the full calculations owned by those volumes. All nonstandard claims remain conditional on existence, stability, causal realization, independent calibration, standard-theory subtraction, and held-out tests. The purpose is internal architectural closure and empirical accountability, not a claim that three axioms already compute every law or that nature has been shown to realize the proposed history and finite-core sectors. Keywords **Global realism; three physical axioms; finite topological matter; physical spacetime vacuum; causal historical dynamics; quantum representation; gravitation; statistical reduction; acyclic theory tower; uncertainty quantification; falsifiability.** Note on the Two Versions **This paper is available in two versions. Readers interested in the original ideas and the development of the manuscript are encouraged to consult the original version. For a more systematic presentation and a deeper understanding of the complete theoretical framework, we recommend reading both versions.**
New Perspectives on Fundamental Problems in Quantum Mechanics: Theory of Measurement Macroscopic Interpretability of Quantum Subsystems Objective Background for Quantum Theory Operational Probability Theory (OPT) and Conditional Probabilities Entanglement and Non-Locality Wave-Particle Duality, Double Slit Experiments Complementarity Operational Definition of Observables Simulation of Quantum Features De Broglie-Bohm Model Interdisciplinary Issues: Parastatistics in Econophysics Propositions in Classical and Quantum Physics Statistical Criticism of the Double Slit Experiment Chemical Valence as Relational Property Quantum Computer View (QCV) at the Planck Scale Historical, Philosophical and Epistemological Inquiries: The First Steps of Quantum Electrodynamics Electromagnetism and Quantum Physics Mathematics and Epistemology in Planck's Work Logic and Mathematics in Heisenberg's Formulation Reality and Nanotechnologies Non-Empirically Decidable Properties in Modern Physics Computability of Physical Theories Entrance of Quantum Mechanics in Italy Gramsci and Quantum Mechanics Italic Tradition on the Question of Physical Objectivity.