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
Abstract
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.**
Related
- Unification of Gauge Dynamics and Gravitation through an Emergent Topological Master-Field Theory
- Mathematical modeling and statistical analysis for predicting success in intrauterine insemination, intracytoplasmic sperm injection, and frozen embryo transfer
- Mathematical foundation of symmetric fast Fourier transform
- SDM and D-SDM: On-Screen Mathematical Foundation
- Statistical analysis of the remaining human life expectancy. Mathematical models of the type Gompertz-Makeham and others
BibTeX
@misc{wang2026global,
title = {{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}},
author = {Kianming Wang},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23491302},
url = {https://zenodo.org/records/23491302},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - 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
AU - Kianming Wang
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23491302
UR - https://zenodo.org/records/23491302
AB - 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.**
ER -