The Universal Topological Resonance Equation: Unifying Cosmological Macro-Structures, Einstein-Cartan Torsion, and Gauge Micro-Dynamics

We present a unified topological framework bridging discrete cosmological anomalies, quantum decoherence, and general relativistic singularities. We formulate the Universal Topological Resonance Equation, governed by a unitary phase inversion Operator isomorphic to SU(2) gauge symmetries, and a geometric dual-bias operator (A = ±1). Empirical validation through a 100,000-run Monte Carlo simulation of raw CMB data reveals a 489.82σ topological attraction for Fermi-LAT gamma-rays and a 66.41σ void for IceCube neutrinos. Furthermore, we expand the Einstein-Cartan Theory by introducing a Fractal Torsion Lagrangian, providing a metric rationale for singularity avoidance via non-linear topological inversions.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20432229
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

The Universal Topological Resonance Equation: Unifying Cosmological Macro-Structures, Einstein-Cartan Torsion, and Gauge Micro-Dynamics

Francesco Vicari
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

The Universal Topological Resonance Equation: Unifying Cosmological Macro-Structures, Einstein-Cartan Torsion, and Gauge Micro-Dynamics

Francesco Vicari
preprint en

Abstract

We present a unified topological framework bridging discrete cosmological anomalies, quantum decoherence, and general relativistic singularities. We formulate the Universal Topological Resonance Equation, governed by a unitary phase inversion Operator isomorphic to SU(2) gauge symmetries, and a geometric dual-bias operator (A = ±1). Empirical validation through a 100,000-run Monte Carlo simulation of raw CMB data reveals a 489.82σ topological attraction for Fermi-LAT gamma-rays and a 66.41σ void for IceCube neutrinos. Furthermore, we expand the Einstein-Cartan Theory by introducing a Fractal Torsion Lagrangian, providing a metric rationale for singularity avoidance via non-linear topological inversions.

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
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