IndisputableMonolith.Robotics.SensorModalitiesFromConfigDim
The module defines sensor modalities, their count, and a certification structure derived from configuration dimension in the Recognition Science robotics setting. It supplies the core objects for modeling sensors using imported RS constants. This is a definitions-only module with no theorems.
claimDefines the type of sensor modalities $S$, the count function $n(d)$ returning the number of modalities for configuration dimension $d$, and the certificate $C$ for the set of modalities.
background
The module imports IndisputableMonolith.Constants, whose sole documented content is the fundamental RS time quantum τ₀ = 1 tick. Recognition Science derives all constants from the forcing chain T0-T8, with ħ = φ^{-5} and G = φ^5 / π in native units. This robotics module extends those constants into domain objects for sensor modalities parameterized by configuration dimension.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
Supplies the basic objects for sensor modeling in Recognition Science robotics. It is positioned to feed parent theorems on system certification in the robotics domain, though no downstream uses are recorded yet. It applies the RS constant τ₀ and the phi-ladder structure to practical sensor configuration.
scope and limits
- Does not derive explicit formulas or numerical values for modality counts.
- Does not contain theorems, proofs, or property verifications.
- Does not address hardware implementations or experimental validation.