Towards a Unified Topological Theory of Stability: Emergent Golden Ratio as a Determinant for Cosmic Action and Microscopic Systems — A Topological Resolution to Quantum Gravity

04 September 2026, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper introduces the Minimum Topological Action Principle (MTAP) and defines a scalar field (Phi) that describes the topological distortion of the vacuum. Through this framework, the Golden Ratio (phi) emerges not as an inserted mathematical constant, but as an inevitable physical equilibrium state. Structural stability converges numerically toward a topological quantum number S_nucleus = 358.75 The model demonstrates exact numerical alignment with Planck 2018 cosmological parameters (Omega_DM, Omega_Lambda) and CODATA values for the fine-structure constant (alpha), providing a deterministic, parameter-free infrastructure for universal stability governance.

Keywords

Minimum Topological Action Principle
MTAP
Emergent Golden Ratio
Topological Action
Vacuum Topology
Unified Topological Theory
Cosmological Deterministic Model
phiCDM
Fine Structure Constant
Dark Matter Density
Dark Energy Density
Baryonic Matter Density
TOV Limit
Base Quantum Number S_nucleus
Universal Topological Scaling Law
Scalar Field Potential
Topological Resonance
Spherical Harmonics
Vacuum Equilibrium
Deterministic Cosmology
Unified Field Theory
Theoretical Physics

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