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Unconditional simple-on-critical-line proportion for ζ raised to 0.6728005676 (kernel-checked) — see PR #17 #25

Description

@mdumitrean

PR: #17

This work extends the zeta23/ project beyond the paper's Montgomery–Taylor endpoint
(0.672500703679) with fully formal, unconditional improvements of the proportion of
zeta zeros that are simple and on the critical line:

A bound certificate
1/80 0.672755620655 2,969 kernel-replayed modules
51/4000 0.6727837118 8,953
257/20000 0.6727949489 30,153
129/10000 0.6728005676 56,924
  • Method: a positive spectral penalty from six translates of the MT kernel, fed into the
    zero-count ledger; the only numerical input per target is a 5D affine inequality
    A ≤ E₆(g) + B₆·Σg, proved by decide +kernel replay of an exact rational
    branch-and-bound certificate over a Lean-checked envelope of the kernel.
  • Also included: the Union (simple-or-on-line) and LineDecimal (certified decimal
    enclosure of the MT constant) comparator topics — 24 new Mathlib-only trusted statements
    in total, all in the Palomar template layout.
  • Every audited declaration depends only on propext, Classical.choice, Quot.sound;
    no native_decide, floating point, or external oracle. Audits, independent exact
    replays and build logs are in zeta23/AUDIT.md and zeta23/certificates/sextuple/.
  • The method is near its ceiling: any catalog gives at most ≈ 0.6728111 with this kernel
    (analysis in zeta23/certificates/sextuple/a1290/).

Note: the certificate chains are ≈100k kernel modules (≈430 CPU-hours), so CI cannot
rebuild them on a hosted runner; the committed logs are the record of those builds.

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