PACC conjecture — the four-level convergence ladder

Definitions

definitions

• Primitive-level non-probabilistic system: canonical state and required updates do not need distributions, Kolmogorov semantics, Bayesian posteriors, a probability-simplex container or sampling; raw weights, orders, signed relations, tensions and constraints are allowed.
• Probability-like representation: a low-complexity map to the simplex that roughly preserves ranking, choice, relative strength and evidence response.

Assumptions

assumptions

• Intelligence constraints: partial observation, competing alternatives, finite resources, repeated update, action selection, changing environment.

Claims

claims

• Probability may emerge from competition without being the original semantics of competition.
• AI's feasible computational forms may be far fewer than the theories that describe them.

Predictions

predictions

• Outcome I behavioural equivalence only → multiple realizability; II representational duality; III dynamical equivalence → alternative coordinates of a common computation; IV computational attractor.

Falsification / failure conditions

falsification_conditions

• F1 D_B ≫ ε_B; F2 no generalizing low-complexity Φ; F3 D_U large; F4 intervention divergence; F5 D_A rises with scale; F6 probability-specific advantage from the update itself.

Known limitations

known_limitations

• PACC-A cannot pass with two independent families; the strongest current statement is a nontrivial convergence basin with an atlas of partially overlapping probability-like charts, not a universal attractor.
• A conjecture, tested so far only on synthetic data with theoretical reasoning: theoretically possible is not actually possible.

Evidence

Relations

History and provenance

Canonical URL

https://evemisslab.com/ai/theory/THY-2026-0005/

Machine-readable

/ai/theory/THY-2026-0005/index.json

Snapshot

AI-SNAPSHOT-v0.1-fe85b9694a45

Provenance

source

EveMissLab research collection: Adaptive Epistemic Systems (真本體論13)

extracted_by

Splice (Claude Code), reading the canonical UTF-8 sources and each lab's own result reports

extracted_at

2026-09-11

generator

tools/extract_aes/extract.py

claim_boundary

status, evidence level and result type follow the source artifact's own stated claim boundary; nothing is upgraded beyond what the report supports