IndisputableMonolith.Physics.QuantumDecoherenceFromJCost
The module defines structures linking quantum decoherence to the J-cost functional within Recognition Science. It introduces the mechanism, rung-wise coherence, decay law, and certification objects that tie coherence loss to the phi-ladder and RS time quantum. Physicists deriving quantum behavior from the forcing chain would cite these definitions when modeling environmental decoherence. The module is purely definitional and contains no theorems or proofs.
claimIntroduces a J-cost induced decoherence mechanism together with its count, the coherence level at rung $r$ on the phi-ladder, the associated decay function, a certificate predicate for valid decoherence, and its constructor, all expressed in RS-native units with time quantum $τ_0$.
background
The module sits inside the Recognition Science framework that derives physics from a single functional equation and the unified forcing chain. It imports the fundamental RS time quantum $τ_0 = 1$ tick from the Constants module and uses this to scale all decay processes. Definitions center on how the J-functional produces loss of coherence at successive rungs of the self-similar phi-ladder.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the decoherence layer that later physics derivations rely on when connecting the J-cost and phi-ladder to observable quantum behavior. It fills the quantum-coherence slot in the T5–T8 forcing chain and prepares the ground for any downstream treatment of the eight-tick octave or spatial dimensions.
scope and limits
- Does not compute numerical decoherence times for concrete laboratory systems.
- Does not prove equivalence to standard open-quantum-system models.
- Does not incorporate gravitational or mass-ladder effects.
- Does not address the Berry creation threshold or alpha-band constraints.