IndisputableMonolith.Physics.OpticalTrapRegimesFromJCost
This module defines optical trap regimes derived from J-cost in Recognition Science. It introduces TrapRegime as the classification type for trap behaviors and OpticalTrapCert as the certification structure. The module depends only on the Constants import that sets the RS time quantum τ₀ = 1 tick. It serves as a definitional foundation for physics applications with no proofs present.
claimDeclares the type $TrapRegime$ classifying optical trap regimes by J-cost thresholds, the constant $trapRegime_count : ℕ$, and the structure $OpticalTrapCert$ for regime certification.
background
The module operates in the physics domain and imports Mathlib together with IndisputableMonolith.Constants. The upstream Constants module supplies the fundamental RS time quantum τ₀ = 1 tick. It introduces the sibling definitions TrapRegime, trapRegime_count, OpticalTrapCert and opticalTrapCert to capture optical trap regimes from the J-cost function within the broader Recognition Science setting of self-similar fixed points and the eight-tick octave.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the definitional base for optical trap regimes that would feed parent theorems on physical derivations in the Recognition Science monolith. It grounds J-cost classifications that support the forcing chain T5-T8 and the Recognition Composition Law, though no direct used_by relations are recorded yet.
scope and limits
- Does not contain any proved theorems or lemmas.
- Does not specify numerical trap parameters or simulations.
- Does not connect to mass formulas or phi-ladder rungs.
- Does not import physics modules beyond Constants.