TIM Braids and Framed Memory:Canonical

Abstract

We study a minimal three-ribbon TIM braid kinematics model equipped with an explicit slot-based framed sector. The model distinguishes unreduced braid history from canonical braid topology and exhibits nontrivial framed remnants even when topological braid content cancels. We first define the discrete braid/framing rules, verify basic braid consistency, classify short-word closure sectors, and introduce a simple relaxation layer showing that framed remnants can be metastable or topology sensitive. We then construct a Garside style normalization pipeline for B3 in order to separate macroscopic braid topology from history dependent framed memory. A computational sweep over admissible B3 histories up to fixed length reveals large framed topological degeneracy, frequent identity-sector memory, and recurrent low-rank remnant families. Motivated by this structured state space, we define a universal closure-scaled framing maping in which electroweak quantum numbers are assigned by linear projections of the framing vector scaled by the maximum cycle length of the closure permutation. Under this single calibrated map, the computed database contains exact first generation Standard Model electroweak quantum numbers, with fractional quark charges emerging mechanically from the c=3 closure sector and the Gell-Mann-Nishijima relation holding identically. We emphasize that this establishes a particle-dictionary correspondence within the model, not yet a derivation of gauge dynamics, confinement, spin/statistics, or a physical mass spectrum.

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