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Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Scoped exclusion

Original constant coupling identification excluded by coefficient comparison

In the question: Recursion, hypergraphs and mirroring at the original joint source

Excludes precisely the historical constant variable conversion at the same nonzero L,without independent rescaling of b1 or L. No general exclusion of nonlinear field maps or an actually derived shared sector. Rounded numbers only illustrate;exact coefficient contradiction decides. Preserve current alpha root,compiler,E8,flavor,seam,clock results and F1 owner. No replacement potential,S_adm,H_tr,pos or physical spectrum claimed.

Read the exact result, assumptions and evidence

Result

Directly testing I_alpha(s*k,L)=A*I_k(k,L) with the actual same invariants and L>0 forces A=1,real s=1,and c3=1. Every real constant rescaling of the two original cubic polynomials is therefore excluded,including the stated 2*pi. A shared root instead must obey k^3-2c3^2k^2=alpha^3-2c3^3alpha^2. This necessary nonlinear relation does not identify a whole action.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

  • Original constant coupling rescaling claim at the same L

    Original project note V25-C,raw SHA256 f2c6b3404557b0da83d6ebeae5e159ac64c6f704e96c4e98a6885298718be7d8,identifies I_k=k^3-2c3^2k^2-8b1c3^6L and I_alpha=alpha^3-2c3^3alpha^2-8b1c3^6L by a constant units conversion at c3=1/(8pi),b1=41/10 and the same L>0. Its appended text instead claims two channels of one action. Review these claims separately.

Original evidence

  • HISTORICAL-COUPLING-IDENTITY.txt lines 1–67

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-COUPLING-IDENTITY.txt

    df78e3ab6d78c6b05b4be603cbe12bf898320e0563ebab8fb5ae7bc87c7aa77e

finding:hist20261103k-constant-coupling-identification-excluded