Structured Abstract Background The Big Bang singularity arises when continuous spacetime geometry is extrapolated to scales at which it is no longer physically computable. Existing quantum gravity frameworks (LQC, Hartle–Hawking, inflation) apply corrections to preexisting geometric structures. We are not aware of a framework that identifies the informational bandwidth threshold at which geometry ceases to exist, derives a closed-form vacuum wave function from operator-algebraic first principles, and positions the pre-Big-Bang state as a structured algebraic phase. Gap The tradition lacks: (a) a formal ontology for the pre-geometric phase beyond ‘nothing’; (b) a candidate mechanism for low-entropy initial conditions that does not import fine-tuning; (c) a mechanism for the thermodynamic arrow of time from pre-geometric principles; (d) testable predictions for directional CMB anisotropies from spatially heterogeneous time emergence. MTN-G is a framework of pre-geometric physics: it does not quantise geometry; it characterises the algebraic substrate that produces geometry as an emergent phase. Approach Applying the NH-ALG framework to FLRW cosmology: the geometric sampling frequency fₘinBV (a) ∝ a⁻⁴ diverges as a → 0 D1; the NH-WdW equation with explicit Lindblad operators Lₖ = √γₖ Oₖ is derived via GKSL coarse-graining D2; EPᵈ coalescence yields Ψ (a) = A₀·Ai (z) ·exp (−C/a²) → 0 before a = 0, topologically stable under matter perturbations D3; the QFI metric pole at acrit drives a windowed Pζ (k) ∝ k² spectrum at IR scales D4, D5; the pre-EPᵈ atemporal phase is conjectured to be a self-referentially self-maintaining (SRSM) hyperfinite memory network whose archive projection would account for low-entropy initial conditions and the arrow of time CD6, conjecture with derived components; the Temporal Layering hypothesis proposes spatially heterogeneous time emergence with a minimal stochastic network model C3, §5. 8. 1, generating the flagship prediction E4; the biorthogonal norm interpretation of the non-Hermitian dynamics is specified (Appendix E). Results (1) Singularity blocked: Ψ (a) → 0 before a = 0 for any α > 0 D3. (2) Topological stability: δacrit/acrit ∼ (δρ/ρcrit) ¹ᐟ² ≪ 1 D3. (3) Real time emerges as Im (τ) → 0 D2. (4) Windowed k² power spectrum with C∞ junction D5. (5) All core thresholds (α-independent acrit, spectral shape, r bound) carry zero free parameters Table 4. 3. (6) Flagship prediction E4, PREDICTION-class: directional CMB parity asymmetry — localised TT suppression correlated with E/B polarization asymmetry in the same sky patch — testable now against Planck polarization data. (7) The SRSM archive account of low entropy and the time arrow is stated as a conjecture pending the L7 modular-flow theorem CD6. Implications If the evidence-class programme of §6 confirms across two independent classes, MTN-G provides a pre-geometric account of cosmological origin in which the Big Bang is a crystallisation rather than a beginning D1–D5; conditional on the L7 theorem, the same structure would ground low-entropy initial conditions and the arrow of time CD6. The framework is symmetrically falsifiable: the Collapse Counter-Scenario of §10 specifies per-class falsifiers whose aggregation reaches every empirical claim, and the interpretive status of claims not yet reachable by a falsifier is stated explicitly. Keywords: pre-geometric physics; MTN-G; Big Bang; singularity resolution; Exceptional Point; Type III₁ von Neumann algebra; non-Hermitian Wheeler–DeWitt; SRSM memory conjecture; Temporal Layering; CMB parity asymmetry; arrow of time; windowed power spectrum; GR-CONT vs MTN-G; ALGUILAS-AI. Method ALGUILAS–AI Dialectical Engine (Mattos, J. C. de, 2026) · v3. 2
José Caetano de Mattos (Thu,) studied this question.