langlands-program

Adèlic spectral frameworks for computational number theory: exploring exact discrete bounds for pattern avoidance via CP-SAT, and quantum-physical realizations of automorphic L-function zeros.

Five volumes, 2,001 pages on the Langlands programme: a global arithmetic curve over Z, a geometry with a primitive trace, and a Main Conjecture of three equivalences and eight corollaries; 1,609 status-marked statements, 17 falsification tests, aletheia, a Lean 4 skeleton. Not a proof of the Langlands correspondence. DOI 10.5281/zenodo.23629681.

The Grothendieckian Programme: seven works, 34 volumes, 26,021 pages on machine reasoning about mathematics — a core, a topos-native kernel and five research subjects (RH, BSD, Hodge, abc, Langlands). Series 00, their overview, adds no mathematical result; none of the seven claims a proof of the problems it studies. DOI 10.5281/zenodo.23669107.

Adelic Langlands Physics — formalizing the Langlands Program as adelic physics

Langlands Program - by example (GL2) - Static Web Page

From a multiplication table to Riemann's zeros — a code-verified, bilingual (EN/TR) re-derivation of three centuries of number theory, with its refuted hypotheses kept.

Verification code for "Arithmetic Geometry at the Pisot Boundary" — five arithmetic theorems and the Dimensional Norm-Hodge Theorem for the PDT polynomials

Measure-Theoretic Artifacts v2.0: The Adelic Completion Problem, Langlands Connection, and UV/IR Divergences

Post-quantum tetration (2^^N) cipher. Braid Bn (VL(t) #P-hard) + SYK (lambda_L=2piT) OTOC scrambling + Langlands Gal(Q/Q) GNNs. Secured via 2^^3 recursive latent manifolds, Busy Beaver Sigma(n) entropy, & Orch-OR (dE dt~h) collapse. Complexity from uncomputable fractal manifolds and MSS-saturated chaos bound. A living cryptographic organism.