What question did this study set out to answer?

The research aims to reconstruct quantum mechanics through a new deterministic framework, addressing fundamental ontological issues.

April 11, 2026Open Access

Reconstruction of Quantum Mechanics Under the STAT Framework: From Nonlinear Aether Fluid Dynamics to the Geometric Proof of Non-local Entanglement

Key Points

The research aims to reconstruct quantum mechanics through a new deterministic framework, addressing fundamental ontological issues.
Introduced a complex metric tensor to model geometric rigidity and spin curl.
Derived the Schrödinger equation from dynamic thermodynamic principles within a nonlinear aether manifold.
Redefined wavefunction collapse in terms of phase transitions of tetrad fields influenced by geometric stress.
Provided a geometric proof of entanglement through the concept of 'Metric Collapse'.
Showed that the intrinsic proper distance between entangled particles is zero, explaining non-locality.
Retrieved the quantum correlation function as a necessity of the manifold's topology, thereby bypassing Bell's inequality.
Established a deterministic global stress field that aligns with quantum mechanical predictions.

Abstract

Title: Reconstruction of Quantum Mechanics Under the STAT Framework: From Nonlinear Aether Fluid Dynamics to the Geometric Proof of Non-local Entanglement Summary: This publication provides a comprehensive geometric reconstruction of quantum mechanics based on the Spin-Topological Aether Theory (STAT). By replacing the probabilistic axioms of the Copenhagen interpretation with a deterministic, continuous-medium geometric framework, this research resolves long-standing ontological crises, including the measurement problem and the nature of quantum non-locality. Key Contributions: Complex Metric Formalism: The research introduces a complex metric tensor g_ = _ + i (1-) _, where the real part represents macroscopic geometric rigidity and the imaginary part represents microscopic spin curl. Ontological Derivation of the Schrödinger Equation: The Schrödinger equation is derived not as a postulate, but as a dynamic thermodynamic equilibrium of Hopf topological knots within a nonlinear viscoelastic aether manifold. Phase Transition of Frame Fields: The study redefines wavefunction superposition and collapse as the "unanchoring" and "anchoring" phase transitions of tetrad fields, triggered by geometric stress thresholds relative to the aether yield stress (a₀). Geometric Proof of Entanglement: The most significant breakthrough is the analytical derivation of "Metric Collapse" (0) within shared topological flux tubes. This proves that the intrinsic proper distance (L₏ₑ₎₏₄ₑ) between entangled particles is zero, providing a substantial geometric explanation for "spooky action at a distance. " Bypassing Bell’s Inequality: By establishing a non-local deterministic global stress field, the STAT framework flawlessly recovers the quantum correlation function E () = -, demonstrating that the violation of Bell's inequality is a geometric necessity of the manifold's topology. Impact: This work bridges the gap between general relativity and quantum mechanics by unifying their underlying geometric structures. It offers a deterministic path toward a grand unified theory, where quantum phenomena are understood as emergent properties of a continuous, nonlinear topological manifold.

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