Principia Metaphysica: Full Paper
Navigate through all sections of the unified physics framework. The paper is organized into three main parts: Theoretical Foundations establishing the mathematical framework, Physical Mechanisms deriving the Standard Model and cosmology, and Experimental Tests providing falsifiable predictions.
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Theoretical Foundations
The mathematical and geometric foundations of the framework, establishing the (12,1)-dimensional bulk structure, the Pneuma field, and the Kaluza-Klein reduction that produces 4D physics.
Introduction
The quest for unification, geometrization of forces, and the fermionic foundation for geometry. Motivation and overview of the framework.
Geometric Framework
Kaluza-Klein reduction on the Pneuma manifold KPneuma, the EFT paradigm, and derivation of the 4D effective action.
Thermal Time Hypothesis
Emergent time from thermodynamics via Tomita-Takesaki modular theory. KMS states and the connection between time and entropy.
Physical Mechanisms
Derivation of the Standard Model gauge structure, fermion spectrum, and cosmological dynamics from the geometric framework. How the abstract mathematics connects to observable physics.
Gauge Unification
SO(10) grand unified framework emerging from isometries, symmetry breaking chains to the Standard Model, and doublet-triplet splitting.
Fermion Sector
Fermions in 12D, the Pneuma mechanism for generating chirality, and embedding of three generations in SO(10) representations.
Cosmological Dynamics
Modified F(R,T) gravity, the Mashiach field attractor mechanism, and dynamical explanation for dark energy and cosmic acceleration.
Experimental Tests
Concrete, falsifiable predictions that connect the theoretical framework to experimental physics. Current constraints and future experimental prospects.
Predictions & Tests
Proton decay, gravitational wave signatures, SME coefficients, Lorentz violation bounds, and experimental constraints from GWTC-3.
Conclusion
Summary of results, unification of concepts, falsifiability criteria, and future research directions in phenomenology and cosmology.