What question did this study set out to answer?

To construct an axiomatic pregeometric unified framework that derives fundamental physical dynamics and constants from zero-dimensional topology without fitted free parameters.

August 19, 2026Open Access

GDUM: A Unified Model Based on Zero-Dimensional Pregeometry and Klein Bottle Immersion Topology

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Authors

GCGao Chenghua

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Implication

Theoretical study reveals a pregeometric framework deriving the inverse fine-structure constant from Klein bottle topology, suggesting fundamental physics emerges without free parameters.

Key Points

To construct an axiomatic pregeometric unified framework that derives fundamental physical dynamics and constants from zero-dimensional topology without fitted free parameters.
Formalized an axiomatic pregeometric foundation using a zero-dimensional Euler spiral fixed point and a Z₂ duality generator.
Utilized Whitney immersion theory to smoothly immerse Klein bottles into 4-manifolds to represent fermionic degrees of freedom.
Formulated electromagnetic postulates to define the electromagnetic winding number and theoretically compute the fine-structure constant.
Predicted a theoretical inverse fine-structure constant of α⁻¹ ≈ 137.0363037759, showing a 2.22 ppm relative deviation from the CODATA-2022 benchmark.
Demonstrated that 4-dimensional field equations, quantum statistics, and dark energy fluctuations emerge directly as topological projection residues.

Cite This Study

Gao Chenghua (2026) studied this question.

synapsesocial.com/papers/6a85633c03308d306e2d6477 https://doi.org/10.5281/zenodo.21962920

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Implication

Theoretical study reveals a pregeometric framework deriving the inverse fine-structure constant from Klein bottle topology, suggesting fundamental physics emerges without free parameters.

GDUM: A Unified Model Based on Zero-Dimensional Pregeometry and Klein Bottle Immersion Topology

Discussion

Member takes

Implication

Key Points

Cite This Study

GDUM: A Unified Model Based on Zero-Dimensional Pregeometry and Klein Bottle Immersion Topology

Discussion

Member takes

Implication

Key Points

Cite This Study

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