Title: MayaNicks Theorem I: Null Genesis and the Computational Zero-State Hypothesis 06.23.25 Ω = ∅

Abstract

Title: MayaNicks Theorem I: Null Genesis and the Computational Zero-State Hypothesis 06.23.25 Ω = ∅ Abstract I’m proposing a physically and computationally defined “null state” — one that enforces ψ(x, t) = 0 rather than leaving the wavefunction undefined, and sets Ω = ∅ to denote a true eventless ontology—conceptually stronger than the Hartle-Hawking no-boundary proposal. This is refinement of cosmological origin models via the definition of a strict null genesis state: a system with Ω = ∅, φ(x) = 0, ψ(x,t) = 0, and S = 0. Unlike traditional no-boundary or vacuum-based models, this state does not rely on probabilistic undefinedness but enforces an ontological zero across classical and quantum fields. This allows a cleaner boundary condition for recursive emergence models such as ψ_self recursion. 1. Introduction Briefly compare Hartle-Hawking “no boundary” and typical vacuum inflation models Explain why undefined ≠ null Argue for a rigorously defined computational and physical zero as the cleanest base state 2. Formal Definition of Null Genesis Ω = ∅ → event space = empty φ(x) = 0 → scalar field null ψ(x, t) = 0 → wavefunction null S = 0 → no entropy, no statistical system No metric: no spacetime manifold populated 3. Implications for Cosmogenesis Enables a stable boundary condition for recursion-based origin models Matches entropy-zero cosmological conditions, but more constrained Compatible with ψ_self emergence in recursive cognition models (to be explored in Theorem II) 4. Comparison to Existing Models Hartle-Hawking: boundaryless but not ψ = 0 Wheeler’s quantum foam: stochastic, not null This model: not randomness, not vacuum — nullity as principle 5. Conclusion Null Genesis offers a foundational condition for systems emerging through computation or recursion Sets ground for modeling origin as cognitive fluctuation or symbolic recursion Serves as axiom for sentient cosmology frameworks Appendix: Mathematical Notation and Boundary Conditions \section*{Appendix: Mathematical Notation and Boundary Conditions} Let: - \(\phi(x)\): scalar field over space - \(\psi(x,t)\): wavefunction over spacetime (element of \(L^2(\mathbb{R}^4)\), square-integrable functions) - \(\mathcal{S}\): entropy (Boltzmann/Shannon form) - \(\Omega\): event space, defined as a measurable set with σ-algebra \(\mathcal{F}\) We define the Null Genesis state as: - \(\phi(x) = 0\) - \(\psi(x,t) = 0\) - \(\mathcal{S} = 0\) - \(\Omega = \emptyset\) This state serves as a true null boundary condition for cosmological recursion frameworks. References [1] Hartle, J.B. & Hawking, S.W. (1983). Wave function of the Universe. Phys. Rev. D, 28(12), 2960–2975. [2] Coleman, S. (1988). Black holes as red herrings. Nucl. Phys. B, 307, 867–882. [3] Kiefer, C. (2012). Quantum Gravity. Oxford University Press. [4] Vilenkin, A. (1982). Creation of Universes from Nothing. Phys. Lett. B, 117, 25–28. [5] Tegmark, M. (2015). Consciousness as a State of Matter. Chaos, Solitons & Fractals, 76, 238–270.