A registered result in its source context
Original ledger classification: Lie/lattice [L] + identity [I]
Recorded statement: Organizing simplification: the compiler atoms ARE the E8 fundamental Casimir invariant degrees deg(E8)={2,8,12,14,18,20,24,30} (exponents+1) [L]. CLEAN/non-trivial readings: 2=|Z2|, 8=rank E8, 14=dim G2 (the [K,Q] commutator G2, v37),…
Statement, assumptions and sources
Paper context: E8 audit and bootstrap
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ARCH.E8DEG.01
Original ledger classification: Lie/lattice [L] + identity [I]
Original claim text
Organizing simplification: the compiler atoms ARE the E8 fundamental Casimir invariant degrees deg(E8)={2,8,12,14,18,20,24,30} (exponents+1) [L]. CLEAN/non-trivial readings: 2=|Z2|, 8=rank E8, 14=dim G2 (the [K,Q] commutator G2, v37), 20=det L (v10), 24=|W(A3)|=4! (Weyl group A3=S4), 30=h(E8)=2*3*5. Weaker/fittable (flagged): 12=|R(A3)| (A3 roots), 18=p4(a)=2+2^4 (anchor power sum). EXACT sum identities: sum(degrees)=128=2^7 = the de Sitter entropy prefactor (S_dS=e^(2 ainv)/(128 c3^4); 7=scalaron exponent g+n-1) [NEW clean]; sum(exponents)=120=|R+(E8)| (positive roots, v56); prod(degrees)=|W(E8)|=696729600. Since E8 is the audit hull, its invariant degrees being the theory's integers is structurally EXPECTED - confirms the E8 choice, not a coincidence; 6/8 clean, 2/8 fittable (honest)
Original classification detail
Lie/lattice [L] + identity [I]
Dependencies as recorded
v37; v10; v55; v56; h(E8)=30
Open the original ledger source, row 123Location recorded in the ledger
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- E8 audit and bootstrap
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- The Möbius origin of the irreducible [formula in source]input 5 tfpt 3 e8 audit bootstrap
- 2026-06-29 (discoverability — an SEO/GEO pass on the public website: a generated /llms.txt, explicit AI-crawler robots.txt, query-targeted metadata, and the first real backlinks from the README and the Zenodo deposit)Research changelog; TFPT — Introduction and reading guide
- The Möbius origin of the irreducible [formula in source]E8 audit and bootstrap
- OutcomeRed-team audit
- 2026-06-22 (the REVERSE numerology audit, and what the golden ratio means: of [formula in source] 's 8 Casimir invariants only [formula in source] feed a primary readout and [formula in source] are hull overhead; the golden ratio is UNMAPPED structure, so it cannot be numerology: v354)Research changelog; TFPT — Introduction and reading guide
- 2026-06-22 (bandwidth search of the unmapped [formula in source] region, with a strict forced-identity discriminator: the genuine overlooked structure is COLLECTIVE ( [formula in source] , [formula in source] , exponents [formula in source] totatives of [formula in source] ); the per-degree atom matches are unforced and DECLINED; no new physical hit – reconciling v66 and v354: v355)Research changelog; TFPT — Introduction and reading guide
- The Möbius origin of the irreducible [formula in source]input 5 tfpt 3 e8 audit bootstrap
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
Registered verification modules
- v66_e8_casimir_degrees.pyRegistered verification module · core
Read the description recorded in the module registry
compiler atoms = E₈ Casimir degrees; Σ = 128 = 2⁷
A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.