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The aim is to derive a rigorous geometric framework for examining kinematic evolution within the Electric Arc-Helix manifold.

March 5, 2026Open Access

Geometric Construction and Equations of Motion for the Electric Arc-Helix Manifold

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The aim is to derive a rigorous geometric framework for examining kinematic evolution within the Electric Arc-Helix manifold.
Developed an axiomatic derivation over 11 chapters.
Introduced mathematical constructs like Rademacher Regularization and Extremal Conformal Field Theory.
Explored modular invariance in relation to topological quantization.
Examined projections of mass and charge as emergent geometric properties.
Resolved high-frequency singularities ensuring convergence of the Poincaré series.
Defined mass as projection resistance influenced by curvature.
Identified charge and weak interaction chirality through torsion sign flips.
Quantized frequency ratios by modular invariance, linking to topological knots.

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Axiomatic framework for kinematic evolution utilizing geometric and topological invariants suggests new insights into quantum gravity.

Frank F. (Arcman) Meng (2026) studied this question.

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