Results

A damped, inertial reaction-diffusion two-body system exhibits persistent bound orbital motion rather than monotonic collapse.

Two-body reaction-diffusion gravity produces a bounded, non-collapsing, non-escaping orbit (Ch. 19 Simulation Results).

Mutual information decay (factorization) and commutator-norm decay (microcausality) both emerge as functions of separation.

Mutual information and commutator norm both decay with spatial separation, i.e. factorization and approximate microcausality emerge (Part IV, Ch. 30-32 QFT as an Emergent Stable Phase).

Coarse-grained couplings approach an IR fixed point.

Ch. 40/41 RG flow / 60_couplings: coarse-grained couplings approach an IR fixed point (beta functions shrink toward the IR, and/or clustered fixed-point candidates are found).

The ringdown analysis pipeline recovers injected signal parameters.

Ch. 22 GW Ringdown Test: the analysis pipeline recovers an injected ringdown frequency and damping time from synthetic data (a check on the pipeline itself, not a claim about real detector data).

N_stable <= 7, derived from a packing bound on disjoint robust gamma-intervals within the empirically bounded control domain (0, gamma_c).

Appendix N (Finite Cardinality of Stable Universes): the number of disjoint stable gamma-intervals must not exceed 7.

Stable orbital regimes are confined to gamma < gamma_c, with gamma_c of order 0.03.

Appendix N.4: effective stability domain boundary gamma_c ~ 0.03.

The Y=alpha*X (zero-intercept) closure-scale fit pipeline correctly recovers a known coupling from real GRB energy/redshift data with injected timing.

Appendix CCCC2: fit pipeline validation using REAL Fermi/Swift GRB peak energies and redshifts (48 real bursts) with an injected (synthetic) timing signal, since the real catalogs on this machine lack per-photon arrival-time data. This checks the analysis pipeline, not an observational result.

A finite, horizon-invariant maximum signal speed emerges from dissipation and coherence loss.

Appendix R (Emergent Causality) / S, KKK-NNN (Lorentz invariance from closure): a localized perturbation produces a detectable, horizon-invariant response at increasing distance only after a time proportional to that distance -- i.e. a finite, horizon-robust maximum signal speed exists, checked using Appendix R's own operational definition (Definition R.1), not a claimed closed-form formula.

After an ultrafast quench sets J~0, B does not vanish immediately; it persists for a finite, kernel-governed memory time.

Appendix BBB (Historical Proof Experiment): the boxed core prediction J(t)~0 => B(t)!=0 for t in (t0, t0+dt_mem) is confirmed using the appendix's own B(x,t)=curl(int K_B*J) definition with a causal exponential memory kernel -- after an abrupt quench of J, B persists and decays on the kernel's memory timescale, not instantaneously.

Curvature invariants remain finite at r=0 and geodesics are complete.

No-Singularity Gravity Ch. 3: curvature invariants (Kretschmann scalar) remain finite as r -> 0, and radial geodesics reach the core in finite proper time without divergence.

delta r_ISCO ~ O(g^3/(GM)^2).

Ch. 5.5: ISCO shift scales as O(g^3 / (GM)^2), i.e. cubic in the core scale g at fixed GM.

g <~ 0.5 GM from current EHT shadow-diameter precision.

Ch. 9 Observational Implications: current EHT shadow-diameter precision (~10-17%) implies g <~ 0.5 GM.

Empirical frequencies concentrate on |c_i|^2 as N grows, with exponentially suppressed atypical-branch measure.

BornRule Ch. 5 / Unified Ch. 6: as N -> large, empirical frequencies concentrate on |c_i|^2 with exponentially suppressed deviation probability.

Xi-maximization favors structured, generative, stable worlds over trivial or unstable ones.

Ontology Ch. 1: Xi-maximization selects a structurally stable, generative world over trivial/frozen or unstable alternatives -- consistency alone is not sufficient for selection.

Light deflection and perihelion precession recover the classical GR weak-field predictions as g -> 0.

No-Singularity Gravity Ch. 4/9: light deflection and perihelion precession recover the classical GR weak-field values as g -> 0 and r >> GM (precession checked to order-of-magnitude; see in-code note on the Newtonian L^2=GMp initial-condition mapping).

a_eff ~ O(g/GM), from ray-tracing asymmetry of near-critical photon trajectories.

No-Singularity Gravity Ch. 7.2: the effective-spin-like shadow asymmetry requires 2D backward ray-tracing of near-critical photon trajectories. Not implemented in this lab -- the module explicitly declines to substitute a different (already-checked, cubically-scaling) quantity and call it a match.

The squared-norm measure satisfies additivity, unitary invariance, and continuity.

BornRule Ch. 6 Relation to Gleason: the squared-norm measure mu(P) = <psi|P|psi> satisfies additivity, unitary invariance, and continuity -- the structural properties the chapter claims ground the measure, verified numerically on random states/subspaces rather than assumed.