D4.2 — Compression Ratio
Chain Position: 30 of 188
Assumes
- [ψ| (complexity per unit content).
Enables
- [[031_E4.1_Complexity-Decrease-Under-Chi](./029_D4.1_Kolmogorov-Complexity]]
Formal Statement
** Compression Ratio Λ[ψ] ≡ K(ψ)/.md)
Defeat Conditions
- Demonstrate that “Compression Ratio Lambda = K(psi)/|psi|” is false, inconsistent, or inapplicable to the claimed domain.
- Reject one of the upstream assumptions ([psi|” is just a re-labeling of the status quo without new grounding.
- Response: Each dependency [029_D4.1_Kolmogorov-Complexity to collapse this axiom.
Standard Objections
- Objection: “Compression Ratio Lambda = K(psi)/.md) is already defended, so rejecting them would collapse the shared foundation.
Defense Summary
- Compression Ratio Lambda = K(psi)/|psi|
- Built on: [Information Theory](./029_D4.1_Kolmogorov-Complexity]].
- Enables: 031_E4.1_Complexity-Decrease-Under-Chi.
Collapse Analysis
- Breaks downstream: 031_E4.1_Complexity-Decrease-Under-Chi
Source Material
01_Axioms/_sources/Theophysics_Axiom_Spine_Master.xlsx(sheets explained in dump)01_Axioms/AXIOM_AGGREGATION_DUMP.md
Quick Navigation
Category: [[_WORKING_PAPERS/Information_Theory/.md)
Depends On:
- [Information Theory](./029_D4.1_Kolmogorov-Complexity]]
Enables:
Related Categories:
- [Information_Theory/.md)