Simulation Results
Controlled, seeded computational experiments from the ASH Model reference implementation (v1.1.0)
How to read these results
These are controlled, seeded, deterministic finite-Markov computations (specified deterministic computation) — not empirical or physical validation. The committed default run uses 1,000 agents over 250 ticks at 1% noise from a uniform start (seed 20260624), reaching total-variation distance 0.032 to Binomial(9,½). The Hamming-weight histograms are generic uniform-hypercube baselines, error correction is a separate proven decoder property not exercised by the simulations, and none of these runs constitute observational evidence for ASH as physics or cosmology.
Binomial (Hamming-Weight) Baseline
Under controlled symmetric bit-flip noise the state occupancy converges to uniform, whose Hamming-weight marginal is exactly Binomial(9,½) (mean 4.5, variance 2.25) — a generic finite-hypercube baseline that non-ASH controls also reproduce, not an ASH-specific result. With XOR transforms and no noise the dynamics stay confined to a 16-state code orbit (weights {0,4,8}) and do not converge (TV ≈ 0.73 from the binomial).
Controlled-Noise Mixing
Across the committed seeded runs and ablations the occupancy’s total-variation distance to Binomial(9,½) stays small (for example ≈ 0.032 at 1% noise and ≈ 0.009 at 2% noise from a uniform start). This is generic hypercube mixing — a non-ASH random weight-4 transform reaches the same baseline — not error correction. Error correction is a property of an explicit radius-1 nearest-codeword decoder, not of the simulations: when invoked it corrects every single-bit corruption (144 across all 512 states) and rejects every two-bit corruption (576 rejected, never silently healed). The Markov simulations apply noise and code XORs but never decode.
Procedural Branching
The branch layer is a specified deterministic depth-4 ternary tree (121 nodes, 81 leaves, 16 codeword messages), rendered with an L-system (F → FF[+F]F[-F], turn 25°, length decay 0.72) — a versioned engineering construction, not a quantum-measurement, decoherence, or Many-Worlds process. The repository does not establish that its branching realizes quantum measurement.
Scientific status
ASH is an exploratory finite-mathematics and computational-ontology framework (reference implementation v1.1.0). Its claims fall into three tiers: proved finite mathematics, specified deterministic computation, and interpretive research hypotheses. It is not an empirically validated theory of physics, cosmology, or consciousness — it does not derive a Friedmann equation, spacetime metric, dark energy, or the CMB, does not establish that its branching realizes quantum measurement, and has no confirmed observational predictions. The five Axioms of Existence are interpretive postulates, not established laws.