The Informational Triadic Field: A Unified Recursion-Based Framework for Spacetime, Mass, Curvature, and Cosmological Structure

This work presents a novel informational framework in which mass, curvature, classical time, and collapse emerge from a recursive triadic system composed of coherence ($\Phi$), entropy ($S$), and a fixed scalar anchor ($\varphi$). Rather than quantizing spacetime or introducing geometry axiomatically, this model derives gravitational and quantum-like behaviors from feedback between informational fields. The framework reproduces essential structures such as: Time as recursive zero-crossings (TOA) Curvature from entropy gradients Bounded recursive energy evolution Spectral gaps mimicking mass quantization Collapse and information retention without singularities Persistent coherence clusters acting as dark matter analogs Simulations support the theoretical structure with key results including nonzero mass gap spectra and bounded curvature dynamics. This is not a final theory of everything, but a promising foundational approach toward unification. The project includes the full PDF, key simulation figures, and core equations.