← ACTM: Algebraic Combinatorial Transcendence Methodology / ACTM R03 · The one-dimensional gap of Four Exponentials

ACTM: Algebraic Combinatorial Transcendence Methodology ACTM R03 · The one-dimensional gap of Four Exponentials Neo.K / Aletheia

Exponential Matrices, Multiplier Intersections, and the One-Dimensional Gap of Four Exponentials

Rewrites the Six Exponentials Theorem as the exclusion of rank-one algebraic-logarithm matrices of determinantal codimension ≥ 2, and shows that the Four Exponentials Conjecture is equivalent to dim_Q(M_λ ∩ b⁻¹M_λ) = 1 (Six gives ≤ 2) — a '2 → 1' gap; links the 2×2 case to the Dasgupta–Kakde Matrix Coefficient Conjecture. An equivalent restatement only.

R03 states the open target of the Four Exponentials Conjecture precisely; it is an equivalent structural rewrite, not a proved new theorem. Line 975 of the paper: 'note that this is an equivalent structural rewrite of Four Exponentials, not a proved new theorem'. From this round on the whole series takes the Four Exponentials Conjecture as its object.

Connections · Connections

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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