JSN01/ECA-GR Hybrid Theory

DescriptionThis work presents a complete theoretical framework, designated as the JSN01/ECA-GR hybrid model. The system shows how smooth spacetime geometry and gravity can emerge naturally from a microscopic, discrete network of cells (Elementary Cellular Automata) that process information based on memory and geometric rules.By combining all physical properties into a single unified index and using a 6th-order Ginzburg-Landau energy landscape, the model provides concrete mathematical solutions to long-standing problems in modern physics, particularly regarding black holes.Key physical and mathematical results of this work include:Elimination of Singularities: We strictly prove that as you approach the center of a collapsing body, the gravitational ratio drops to zero. This completely removes the infinite densities and physical singularities found in classical General Relativity, replacing them with a stable, high-density core (ECA Core).Optical Transparency: We show that light does not freeze or stop inside the core. Instead, the speed of light returns to its normal value at the very center, meaning the core acts as a highly dense, non-singular gradient optical medium that light can pass through.Horizon Thermodynamics: The creation of a black hole horizon is shown to be a first-order thermodynamic phase transition, expanding like a physical bubble once a critical mass is reached.Information Retention: By introducing a causal, exponential memory kernel, we show how information is retained by the network. Canonical quantization reveals a stable, discrete energy spectrum inside the core, meaning quantum information is safely preserved, resolving the famous black hole information loss paradox.The provided LaTeX source code contains the full axiomatic mathematical derivations, an implementable matrix evolution rule for numerical simulations, and native TikZ/PGFPlots vector graphics that visualize both the energy potential and the curvature regularisation.