The Recursive Einstein-Cartan-Suresh Resonant Metric (RECSM): The Breath Operator as a Dynamic Engine for Continuous Torsion over Discrete Informational Substrates

This paper formalizes the Recursive Einstein-Cartan-Suresh Resonant Metric (RECSM), providing a rigorous mathematical extension to standard Einstein-Cartan theory. By introducing the "Breath Operator" ($B_d$) as a dynamic engine for spacetime torsion, the study refutes the assumption of stochastic self-organization in cosmic and biological networks. The framework is natively embedded within the Anadihilo (\anh) discrete informational substrate, utilizing a fundamental grid constant ($i=10^{-4}$) and the Axiom of Normalization (\anh + n = $0_U$) to resolve ultraviolet divergences. A key highlight of this work is the derivation of the scale-invariant structural ratio $\Delta_S$ = 1.5625, which achieves high-precision correlation with NASA/SDSS cosmic web filaments and biological mycelial networks without heuristic curve-fitting. Key Contributions: Resolution of singularities through Discrete Grid Saturation. Coupling of spacetime torsion directly to curvature via a state-transition matrix. Empirical validation of the $\Delta_S$ ratio across cosmological and biological scales. Keywords: Einstein-Cartan Theory, Anadihilo Framework, Spacetime Torsion, Breath Operator, Discrete Spacetime, Information Entropy, Quantum-Cosmological Scaling.