Relativity and Cosmology

   

Proto-Unit Framework for Space-Time Derivation

Authors: Christian Manfred Herborn

This paper introduces a unified, dimensionless framework for physical law based on the proto-unit: a logical dual of translation v and rotation ω, constrained by the invariant relation v²+ω²=1. From this geometric axiom, we reconstruct space-time, gravity, quantum behavior, and information theory using a single, scale-invariant curvature logic. The Riemann zeta function is identified as the geodesic operator stitching rotation and translation into coherent physical phenomena, with its critical line Re(s)=1/2 interpreted as the informational equilibrium - the path of light and the origin of probabilistic balance.We derive classical and quantum equations, including the inverse-square law of gravity, the Schrödinger equation, and Bell-type correlations, all from surface curvature and proto-bit count — not from force, field, or mass. All physical constants, including ħ, G, k_B, α, and Planck units, emerge as transformations within this curvature-normalized geometry. Entanglement is reinterpreted as topological coherence across shared geodesics, and quantum indeterminacy as a projection artifact of deterministic informational curvature.The result is a logically complete and irreducible formulation of physical reality where energy, time, and space are not fundamental objects but emergent properties of self-balanced curvature in complex informational space. This framework offers a path beyond the Standard Model and toward a true unification of physics, mathematics, and information.

Comments: 24 Pages.

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Submission history

[v1] 2025-05-06 20:51:03
[v2] 2025-05-12 07:23:51
[v3] 2025-06-07 12:10:16

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