What does this research mean for the field?

The fundamental constants of the Standard Model, including the fine-structure constant and particle mass ratios, are deterministic macroscopic manifestations of underlying topological constraints that can be derived from first principles without empirical parameters. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

Investigate whether fundamental physical constants can be derived from first principles using topological and geometric constraints within a multitemporal spacetime manifold.

September 5, 2026Open Access

Geometric Standard Model: Part III. Topological Heuristics, Local Time Freezing, and the Derivation of Fundamental Constants

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Investigate whether fundamental physical constants can be derived from first principles using topological and geometric constraints within a multitemporal spacetime manifold.
Modeled elementary fermions as energy-minimizing developable Möbius knots and gauge interactions as topological reconnections in a 3+1+2 multitemporal spacetime manifold.
Formulated the concept of Local Time Freezing, using soliton isometric rigidity to justify applying Euclidean geometric aspect ratios to pseudo-Riemannian manifolds.
Analytically calculated bare constant limits via spatial-to-temporal dimensional ratios and isometric embedding limits, evaluating deviations caused by vacuum polarization.
Derived first-principles analytical approximations for the fine-structure constant (α ≈ 1/137) and the muon-to-electron mass ratio (m_μ/m_e ≈ 205.1).
Calculated the electroweak mixing angle as sin²θ_W ≈ 0.222 and the anomalous magnetic moment as a_e ≈ α/2π.
Demonstrated that fractional discrepancies between calculated bare limits and experimental values arise predictably from dynamic vacuum polarization dressing.

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Implication

Theoretical analysis reveals the geometric origins of fundamental constants in multitemporal spacetime, indicating Standard Model parameters emerge from underlying topological constraints.

Cite This Study

Changho Cho (2026) studied this question.

synapsesocial.com/papers/6a9bd49d6b95aff0620ec6ca https://doi.org/10.5281/zenodo.22262744

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Implication

Theoretical analysis reveals the geometric origins of fundamental constants in multitemporal spacetime, indicating Standard Model parameters emerge from underlying topological constraints.

Geometric Standard Model: Part III. Topological Heuristics, Local Time Freezing, and the Derivation of Fundamental Constants

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Discussion

Implication

Cite This Study

Geometric Standard Model: Part III. Topological Heuristics, Local Time Freezing, and the Derivation of Fundamental Constants

Key Points

Discussion

Implication

Cite This Study

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