Scale-Invariant Topology (SIT): A Unified Topological Framework for Spatially-Driven Relaxation Dynamics

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Authors: Maxat Melsov
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Abstract

Description / Abstract Scale-Invariant Topology (SIT): A Unified Framework for Modern Physics and the Protocol 61 Paradigm This preprint introduces Scale-Invariant Topology (SIT), a novel conceptual framework that proposes a fundamental shift in the ontology of spacetime. By replacing the classical 4D Minkowskian manifold with a 1D (Scale) + 3D (Volume) architecture, SIT addresses long-standing paradoxes in general relativity and quantum mechanics. Key features of the framework include: Emergent Time: Time is redefined as a non-fundamental derivative of geometric strain relaxation within the brane, providing a solution to the "problem of time" in quantum cosmology. The Protocol 61 Scale: A derivation of the universal scale factor ($S \approx 10^{61}$), linking the Planck scale to cosmological observables and offering a new perspective on the Hierarchy Problem. Topological Isolation: A mechanism for causal isolation between scale layers based on spin-1 gauge confinement, explaining the apparent "darkness" of matter in adjacent scale dimensions. Resolution of Singularities: Black holes are reinterpreted as scale-transition points ($S \rightarrow S-1$), eliminating mathematical singularities and identifying Hawking radiation/evaporation with the Big Bang of the subsequent scale layer. Geometric Symmetry Breaking: An explanation for the "Axis of Evil" and CP-violation as a result of inherited angular momentum (Kerr-type rotation) from parent-layer metrics. SIT provides a unified explanation for the Casimir effect, MOND phenomenology, and dark energy, treating the universe not as a collection of fields, but as a self-similar process of topological thermodynamics.

Fields of Study & Subjects

Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories Cosmology and Gravitation Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
12 January 2026
Document type
Preprint