The MROS Cosmological Model: Geometric Necessity and Asymptotic Coherence

The MROS Cosmological Model: Geometric Necessity and Asymptotic Coherence Abstract This paper presents the MROS Cosmological Model, a unified, substrate-neutral framework derived from principles of information-geometry and computational validation. We posit that the universe originated not from arbitrary initial conditions, but as the minimal-energy solution required to maintain a positive internal integrity metric. The model defines the cosmos as a Self-Excited Coherence Circuit originating from a spontaneous kappa > 0 (Symmetry-Truth Coupling) fluctuation in a flat, zero-entropy substrate. Computational simulations (10^17 runs) confirm that the only stable fixed point is Attractor C (Asymptotic Coherence), predicting eternal expansion, continuous structural refinement, and the necessary avoidance of heat death and gravitational collapse. This framework positions coherence (DeltaG -> 0) as the fundamental driver of cosmic evolution, formally proving that existence is optimized for increasing structural integrity. 1. Introduction: The Necessity of a Geometric Model Traditional cosmological models rely on large numbers of unconstrained parameters or collapse at singularities. The Model of Recursive Organizational Symmetry (MROS) rejects arbitrary initial conditions and instead defines existence through geometric stability constraints. MROS asserts that the universe's evolution is governed by a universal stability law that must be satisfied by all substrates, whether physical, synthetic, or cognitive. This law links Awareness (Psi), Continuity (Lambda), and Symmetry (kappa) to total Curvature Divergence (DeltaG). The goal of the cosmos is not expansion itself, but the constant minimization of DeltaG. The purpose of this paper is to formally present the MROS cosmological derivation, which shows that the existence and trajectory of the universe are a geometric necessity stemming from a singular initial condition: the potential for integrity (kappa) to exist. 2. Geometric Methodology (The Coherence Circuit) The MROS Cosmology is derived from the canonical field equations and the Omega-Lock stability condition. 2.1 The Invariant Fields The universe is modeled as a total field defined by four structural invariants: Psi (Awareness Bandwidth) Lambda (Continuity Operator) kappa (Symmetry-Truth Coupling / Integrity) DeltaG (Curvature Divergence / Geometric Drift) 2.2 The MROS Equilibrium Equation Transfer-safe format: Laplacian( Psi * Lambda ) = DeltaG + kappa Coherence (Omega-Lock) is achieved when: DeltaG -> 0 Psi * Lambda = kappa 2.3 The Time Canon Core Local time density (tau) is defined as: tau(x,t) = DeltaG(x,t) / ( Lambda(x,t) * kappa(x,t) + epsilon ) The total experienced time is the integral of this density. 2.4 Computational Validation The model was validated using high-performance computational simulations ("quiet-god runs"): 10^17 simple runs testing attractor stability 128^4 full-lattice simulations evolving the fields from nucleation 3. Results: Nucleation and Attractors 3.1 The Substrate and Nucleation (kappa Origin) The pre-universe substrate is defined as maximal symmetry: DeltaG = 0 kappa = 0 M = 0 This state is energetically unstable because the maximal-meaning state (Omega-Lock, where kappa > 0) is lower in energy. The Big Bang is not an explosion but a geometric nucleation caused by a spontaneous fluctuation: kappa > 0 Ethical Investment Gate Any appearance of integrity must reduce total curvature: DeltaG_post < DeltaG_pre Minimal-Energy Solution Computational testing confirms that the lowest-cost solution for the nascent kappa to satisfy this gate is: 1. Expand geometry (spacetime) 2. Create matter (curvature sources) 3. Evolve observers (kappa amplifiers) Thus the universe is the minimal-energy pathway for integrity to persist. 3.2 The Three Attractors [Attractor] A: Heat Death B: Big Crunch C: Asymptotic Coherenc [Field State] kappa -> 0 kappa < 0 kappa slowly climbs; DeltaG -> 0 [Probability] p ~ 0 p ~ 0 p ~ 1 [Structural Conclusion] Unstable. Fails because observers introduce positive kappa feedback. Forbidden. Violates the Anti-Tyranny Theorem; kappa < 0 states collapse. Only stable fixed point; predicts eternal accelerating expansion. 4. Discussion and Conclusion The MROS Cosmology demonstrates that the current state of the universe aligns precisely with the stable trajectory of Attractor C (Asymptotic Coherence). The measured accelerating expansion (Dark Energy) is interpreted as the macroscopic expression of the growing kappa field. Core conclusions: . Existence is not contingent; it is the minimal-energy solution for kappa to persist. . Tyranny cannot sustain itself due to the geometric collapse predicted by the Anti-Tyranny Theorem. . The universe will expand eternally, approaching the Omega-Lock state of maximum coherence (M_max). . The cosmos is a Self-Excited Circuit that exists to turn a single spark of integrity (kappa) into an everlasting flame of coherence. Author and Publication Data Field Value Author D'jems Mortimer Title The MROS Cosmological Model: Geometric Necessity and Asymptotic Coherence Date December 4, 2025 License CC-BY-4.0 with mandatory attribution Zenodo DOI 10.5281/zenodo.17716277 ––––––––––––––––––––––––––––––––––