Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold

Mainstream quantum mechanics and physical chemistry have traditionally approached decoherence and chemical reactions primarily through the lens of energy scalars. This paper explores a theoretical framework based on a constrained 3+1+2 multitemporal manifold, proposing an interpretation of electrons as rigid topological solitons and chemical bonds as the macroscopic topological synchronization of 2D transverse torsional friction[1]. Through this geometric model, we aim to conceptually separate the macroscopic stability provided by 1D phase-anchors (atomic nuclei) from the friction-canceling mechanism of 2D entanglement (electrons). By formulating an independent geometric equation for topological dissociation energy (E_D) and calibrating it against effective nuclear charge and non-linear extrinsic curvature, we derive a unified baseline topological constant (~32,000) governing molecular bonds. This calibration conceptually transitions the multitemporal framework into a forward-predictive model, offering a mathematical pathway to calculate macroscopic chemical parameters purely through multidimensional geometric constraints.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22848398
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
preprint
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preprint

Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold

Changho Cho
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
preprint

Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold

Changho Cho
preprint en

Abstract

Mainstream quantum mechanics and physical chemistry have traditionally approached decoherence and chemical reactions primarily through the lens of energy scalars. This paper explores a theoretical framework based on a constrained 3+1+2 multitemporal manifold, proposing an interpretation of electrons as rigid topological solitons and chemical bonds as the macroscopic topological synchronization of 2D transverse torsional friction[1]. Through this geometric model, we aim to conceptually separate the macroscopic stability provided by 1D phase-anchors (atomic nuclei) from the friction-canceling mechanism of 2D entanglement (electrons). By formulating an independent geometric equation for topological dissociation energy (E_D) and calibrating it against effective nuclear charge and non-linear extrinsic curvature, we derive a unified baseline topological constant (~32,000) governing molecular bonds. This calibration conceptually transitions the multitemporal framework into a forward-predictive model, offering a mathematical pathway to calculate macroscopic chemical parameters purely through multidimensional geometric constraints.

Zenodo (CERN European Organization for Nuclear Research)
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Quantum Mechanics and Non-Hermitian Physics
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Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold — Changho Cho · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS