TUM:Geometric-Cybernetic Unification in Cl(8,0) Invariant and Science 4.0 Autonomous Feedback - Joint Conceptual Note - Draft v1.0 Integrated

We present a unified framework where spacetime emerges as active feedback output from the interaction of a topological-geometric invariant and an autonomous cybernetic architecture.

The Topological Unification Model (TUM) in Clifford algebra Cl(8,0) provides the invariant Gamma_eq = 0.8470 as a global attractor, while Science 4.0 provides the operational mechanism of multi-scale autonomous homeostasis governed by Non-Equilibrium Steady States (NESS).

The bridge is established via Exceptional Points (EPs) at sin^2 = cos^2 = 0.5 acting as non-Hermitian phase-locking invariants that generate the emergent metric tensor g = eta + alpha(Gamma_eq) <dPsi, dPsi>.

Joint work by Professor Beron, Sebastian (Independent Researcher, ORCID: 0009-0000-1315-2204) and Julien Boblique (Science 4.0 Research Framework, ORCID: 0009-0009-0648-5970).