IndisputableMonolith.Philosophy.EthicsFromJCost
EthicsFromJCost module derives ethical concepts from the J-cost function in Recognition Science. Its core object is the golden rule J(r) = J(1/r) for r > 0, which encodes reciprocity via symmetry of the cost function. The module introduces supporting definitions such as EthicalFramework, EthicsCert, and harmony_zero to formalize ethical evaluation on the phi-ladder. It imports the Cost module to ground these in the Recognition Composition Law without new proofs.
claim$J(r) = J(1/r)$ for any recognition ratio $r > 0$, where $J$ is the cost function satisfying the Recognition Composition Law $J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y)$.
background
The module extends the Cost module, which supplies the J-cost function J(x) = (x + x^{-1})/2 - 1 derived from T5 J-uniqueness in the forcing chain. This J satisfies the Recognition Composition Law and is symmetric under r to 1/r inversion. Definitions introduced include EthicalFramework as a structure for cost-based ethical evaluation, golden_rule as the symmetry property, harmony_zero for zero-defect states, and EthicsCert as a certification predicate.
proof idea
This is a definition module, no proofs. It organizes ethical predicates and structures around the golden rule symmetry imported from the Cost module and the phi-ladder conventions.
why it matters in Recognition Science
The module supplies the ethical interpretation layer for Recognition Science, feeding definitions that link J-cost minimization to harmony and reciprocity. It connects directly to T5 J-uniqueness and the eight-tick octave by treating ethical harmony as zero defectDist on the phi-ladder. No downstream theorems are linked, positioning it as a foundational interface for philosophical extensions of the framework.
scope and limits
- Does not derive specific ethical norms or obligations beyond symmetry.
- Does not address ethics outside recognition ratios or J-cost.
- Does not include empirical tests or physical predictions.
- Does not connect to mass formula or alpha band explicitly.