IndisputableMonolith.Physics.QuantumOpticsFromRS
QuantumOpticsFromRS extends Recognition Science to quantum optics by classifying states according to their J-cost. Coherent states satisfy J = 0 and recover the classical light limit. Definitions cover QuantumOpticalState, quantumOpticalCount, coherent_state, nonclassical_state, and a certification object. Researchers deriving quantum phenomena from the RS forcing chain would reference these objects. The module supplies definitions only.
claimA coherent state satisfies $J=0$, where $J(x)=\frac{x+x^{-1}}{2}-1$ is the Recognition Science cost function. Nonclassical states have $J>0$. QuantumOpticsCert certifies the resulting optical properties.
background
The Cost module supplies the J-cost function that quantifies deviation from classical behavior in Recognition Science. This module applies that function to optical states, with the supplied doc-comment identifying the coherent case as the zero-cost limit. The local setting is the direct translation of the Recognition Composition Law into quantum optics primitives.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the quantum optics layer that would feed higher-level physics derivations from the J-uniqueness step (T5) and the classical limit. It connects the Cost import to optical state definitions, consistent with the forcing chain landmarks. No downstream theorems are listed in the used_by block.
scope and limits
- Does not derive dynamical equations for electromagnetic fields.
- Does not address entanglement or photon counting statistics beyond the listed defs.
- Does not connect to the phi-ladder, eight-tick octave, or D=3.
- Does not compute numerical values inside the alpha band.