A companion analysis proving that minimal simplicial admissibility uniquely selects K = 7 and fixes the boundary entropy coefficient through null constraint reduction.
This paper clarifies the internal structure of the BCB–VERSF research programme. Multiple papers within the programme employ different formalisms—conservation laws, capacity constraints, measurement dynamics, and effective field descriptions. The purpose of this paper is to make those levels explicit, to state clearly which claims belong to which layer, and to articulate the meta-theoretic status of the foundational constraint.
A companion paper showing that the Born rule is the unique admissible probability law forced by finite distinguishability, TPB time, and pairwise relational structure.
Paper III shows that the “five assumptions” behind the gauge-group result don’t compound independently—almost all the risk concentrates in GG3—and it replaces the old α gap correction with a UV–IR RG matching condition via a fold scale μ*.
This paper supplies the missing dynamical and informational backbone of the One-Fold programme, showing why the structures are generic, stable, and quantitatively consistent rather than merely admissible.
Establishes the BCB information-theoretic mass framework, deriving the bit scale and structural multiplicities that organize baryon masses, and reducing the proton mass problem to determining a single closure-depth invariant.
A companion paper that removes circularity by deriving the baryon closure depth N=17 N=17 from BCB+TPB constraint dynamics (mix–project contraction on a C₃-symmetric residual space), making the proton mass a derived consequence rather than an input.
This paper precisely delimits what is rigorously derived in the entropy–scalar EFT framework from what is conjectural, clarifying parameter status, scope, and the forward research program without weakening the core result.
A technical companion that rigorously derives the microphysical inputs behind the Two-Planck framework’s dimensional-transmutation prediction of the coherence scale.
This paper hardens Route M by turning the three remaining heuristics in Paper 4 (bare coupling, constraint independence, and percolation threshold) into controlled, testable results—without changing any assumptions or predictions from Papers 1–3.
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