IndisputableMonolith.Philosophy.FreeWillFromSigmaConservation
The module links free choice to degeneracy at J=0 inside the Recognition Science cost structure, deriving it from sigma conservation. Foundations researchers in physics and philosophy of mind would cite it when tracing apparent agency to the J-function fixed point. It consists of targeted definitions and short lemmas that rest directly on the imported constants and cost modules.
claimFree choice corresponds to degeneracy at the point where $J=0$, with $J(x)= (x + x^{-1})/2 - 1$, under sigma conservation in the Recognition Science cost framework.
background
The module sits inside the Recognition Science derivation that begins from the single functional equation and reaches T5 J-uniqueness, where $J(x)$ measures recognition cost. Constants supplies the base time quantum τ₀ = 1 tick. Cost supplies the J-cost and sigma-conservation rules that enforce equilibrium at zero defect. The philosophy layer translates these into positions that permit free choice precisely when the cost vanishes.
proof idea
This is a definition module, no proofs. It introduces FreeWillPosition together with the supporting lemmas equilibrium_is_zero and choice_symmetric that characterize the symmetric degeneracy at J=0.
why it matters in Recognition Science
The module supplies the interpretive bridge from sigma conservation to free will, placing it after the T5–T8 forcing chain and before any downstream physical applications. It fills the philosophical slot that connects the J-function degeneracy to the question of agency without adding new physical postulates.
scope and limits
- Does not derive free will from quantum mechanics or wave-function collapse.
- Does not claim to resolve the hard problem of consciousness.
- Does not predict specific human decision outcomes or violate microscopic determinism.
- Does not provide a mechanism that breaks the underlying functional equation.