IndisputableMonolith.Relativity.ILG.Substrate
This module assembles the quantum substrate for the ILG framework inside Recognition Science relativity by importing the RS Hilbert space, observable algebra, and ILG action types. Researchers constructing quantum-relativistic bridges in the phi-ladder setting would cite it as the base layer for substrate definitions. It is a definition module that re-exports prior quantum constructions without new proofs or theorems.
claimThe ILG substrate is the Recognition Science Hilbert space $H_{RS}$ equipped with the observable algebra and re-exported geometry from the ILG action, satisfying the substrate health conditions.
background
Recognition Science builds its quantum bridge on a dedicated Hilbert space whose definition appears in the imported Quantum.HilbertSpace module. The companion Quantum.Observables module supplies the algebra of observables compatible with that space. The ILG.Action import re-exports geometry and field types needed for relativistic extensions. The module therefore places the substrate at the intersection of the RS QM bridge and the ILG geometry layer.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the substrate object that later ILG constructions rely on for consistency with the Recognition Science Hilbert space. It sits inside the relativity domain and supports the forcing-chain steps that link quantum observables to the eight-tick octave and spatial dimension D=3. No downstream theorems are recorded yet, indicating it functions as an interface layer.
scope and limits
- Does not derive dynamical equations or field equations.
- Does not prove unitarity or completeness of the imported Hilbert space.
- Does not contain numerical evaluations or mass-ladder calculations.
- Does not address Berry creation thresholds or Z_cf values.