IndisputableMonolith.RecogSpec.BridgeDerivation
This module derives CKM mixing angles from the cycle and loop geometry of the RS bridge structure. Researchers modeling flavor mixing in the Recognition Science framework cite it to connect ledger geometry to observable parameters. The module organizes the derivations into cycle-based and loop-based functions that operate on typed payloads from upstream modules.
claimDerivation of CKM mixing angles from geometric couplings in bridge cycles and loops, expressed via cycle-derived and loop-derived functions acting on ledger structures to produce typed observable payloads.
background
The module imports three upstream components. Constants supplies the fundamental RS time quantum with value 1 tick. ObservablePayloads introduces strongly typed records for dimensionless mass ratios and mixing angles, replacing raw lists with canonical semantics. RSBridge defines the rich bridge structure for geometric couplings, with the statement that in Recognition Science, CKM mixing angles come from ledger geometry rather than being defined as phi-formulas.
proof idea
This is a definition module, no proofs. It structures the argument by defining separate functions for cycle-derived mixing and loop-derived parameters, each taking geometric inputs from the bridge and producing typed observable payloads.
why it matters in Recognition Science
The module supplies the concrete derivations that connect the geometric bridge structure to the observable mixing angles. It fills the step from ledger geometry to CKM parameters in the Recognition Science framework, as described in the module doc-comment on mixing angles derived from bridge cycle and geometry structure.
scope and limits
- Does not compute numerical values for the angles without specific cycle inputs.
- Does not derive mass ratios, only mixing angles.
- Does not address CP violation phases or higher-order corrections.