Published June 28, 2025 | Version 1.0
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Emergence of Gravity as Antipodal Contraction in a Hopf Algebraic Universe

Description

We introduce BLH Contractional Gravity (Balke–Leibniz–Hopf, “contrac
tional” in the sense of a norm-decreasing flow) — a purely algebraic framework in
 which gravity is not spacetime curvature but the universal contraction generated by
 the Hopf–antipode S on a Banach–Hopf algebra H. The theory naturally
 dissolves curvature singularities, stabilises vacuum energy without fine-tuning, and
 offers a unified algebraic origin for quantum sectors, classical spacetime, and gravita
tional phenomena — demonstrating that algebra is not merely a descriptive language
but the substrate from which physical reality itself emerges.

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Emergence of Gravity as Antipodal Contraction in a Hopf Algebraic Universe.pdf