IndisputableMonolith.Physics.SpinFoamFromRS
Module Physics.SpinFoamFromRS builds spin foam models inside Recognition Science by setting the 6j-symbol dimension equal to 6 and equating it to 2D cube faces. Quantum gravity researchers would cite it when mapping discrete geometry onto RS time quanta. The module supplies definitions for SpinFoamModel and related counts, importing only the base time unit from Constants with no internal proofs.
claimThe 6j-symbol dimension equals 6, which equals the number of 2D faces of a cube.
background
Recognition Science starts from the time quantum τ₀ = 1 tick supplied by the Constants module. The present module places spin foam constructions inside that setting, using the 6j-symbol as a discrete building block whose dimension is fixed at 6 to match the faces of a cube in three spatial dimensions. Sibling declarations introduce SpinFoamModel, spinFoamModelCount, sixJDimension, and SpinFoamCert as the concrete objects realizing this link.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the geometric objects needed to embed spin foams inside the Recognition framework, directly encoding the 6j-dimension relation stated in its documentation. It thereby supports downstream constructions that connect the eight-tick octave and D = 3 to discrete spacetime models.
scope and limits
- Does not derive 6j symbols from the J-cost functional equation.
- Does not compute spin-foam amplitudes or partition functions.
- Does not compare results to loop quantum gravity or other approaches.
- Does not address renormalization or continuum limits.