IndisputableMonolith.Physics.AnomalousTransportFromJCost
This module establishes the ballistic exponent α = 2 for anomalous transport derived from the J-cost in Recognition Science. Physicists studying diffusion in RS frameworks would cite it to identify the ballistic regime. The module structures its content around regime definitions and a key equality relating the exponent to the J-functional.
claimIn the model of anomalous transport from J-cost, the ballistic exponent satisfies $α = 2$.
background
Recognition Science derives transport phenomena from the J-cost functional in RS-native units. This module imports the fundamental time quantum τ₀ = 1 tick from Constants and introduces definitions for DiffusionRegime along with AnomalousTransportCert. It sets the local conventions for distinguishing transport regimes on the phi-ladder.
proof idea
This is a definition module, no proofs. It organizes the argument by defining diffusion regimes, specifying the ballisticExponent, and providing the certifying equality ballistic_eq_two.
why it matters in Recognition Science
This module feeds the broader physics derivations in the IndisputableMonolith, particularly those connecting to the forcing chain T5-T8 and the eight-tick octave. It fills the ballistic case for anomalous transport consistent with D = 3 dimensions.
scope and limits
- Does not derive the exponent value from the J-cost equation.
- Does not address sub-ballistic or superdiffusive regimes.
- Does not connect to mass formulas or particle spectra.
- Does not include numerical simulations or data comparisons.