A Unified Gauge-Topological Field Theory and the Analytical Derivation of the Cosmological Constant
Abstract
This treatise establishes a comprehensive Unified Gauge-Topological Field Theory that eradicates Newton’s gravitational constant (GN ) from the foundational postulates of physics. By synthesizing stochastic Fokker–Planck–Kolmogorov (FPK) dynamics, the Bekenstein holographic entropy bound, and Riemann spectral geometry, we map the quantum vacuum as a discrete hyperbolic Weil–Petersson lattice. We construct the metric-independent Boundary Topological Operator (Otopo) and systematically explain its nomenclature and the algebraic genesis of the 16•π^2•ℏ quantum of action. Anchored by the BESIII discovery of the pure pseudoscalar Glueball resonance X(2370) (MGB ≈ 2.395 GeV/c2 ), we derive the Pure Unified Cosmological Field Equation as the hydrodynamic Madelung moment of the FPK master equation. Through explicit inter-formula derivations, we demonstrate the exact algebraic cancellation of the yield potential G2 between the Absolute Topological Coupling (κtopo) and the topological rest energy (EΞ). This isolates the fundamental FPK correlation length ℓΞ. Ultimately, we derive an exact, parameter-free analytical formula for the Cosmological Constant Λtopo=1.105×10^52×m ^2, definitively resolving the 10^120 vacuumcatastrophe without invoking a macroscopic multiverse.
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BibTeX
@misc{tanan2026unified,
title = {{A Unified Gauge-Topological Field Theory and the Analytical Derivation of the Cosmological Constant}},
author = {Yassin Tanan},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23507831},
url = {https://zenodo.org/records/23507831},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Unified Gauge-Topological Field Theory and the Analytical Derivation of the Cosmological Constant
AU - Yassin Tanan
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23507831
UR - https://zenodo.org/records/23507831
AB - This treatise establishes a comprehensive Unified Gauge-Topological Field Theory that eradicates Newton’s gravitational constant (GN ) from the foundational postulates of physics. By synthesizing stochastic Fokker–Planck–Kolmogorov (FPK) dynamics, the Bekenstein holographic entropy bound, and Riemann spectral geometry, we map the quantum vacuum as a discrete hyperbolic Weil–Petersson lattice. We construct the metric-independent Boundary Topological Operator (Otopo) and systematically explain its nomenclature and the algebraic genesis of the 16•π^2•ℏ quantum of action. Anchored by the BESIII discovery of the pure pseudoscalar Glueball resonance X(2370) (MGB ≈ 2.395 GeV/c2 ), we derive the Pure Unified Cosmological Field Equation as the hydrodynamic Madelung moment of the FPK master equation. Through explicit inter-formula derivations, we demonstrate the exact algebraic cancellation of the yield potential G2 between the Absolute Topological Coupling (κtopo) and the topological rest energy (EΞ). This isolates the fundamental FPK correlation length ℓΞ. Ultimately, we derive an exact, parameter-free analytical formula for the Cosmological Constant Λtopo=1.105×10^52×m ^2, definitively resolving the 10^120 vacuumcatastrophe without invoking a macroscopic multiverse.
ER -