From affa7697ad7dd9494018fa88d95eefa3e73ff61a Mon Sep 17 00:00:00 2001
From: Dylan Roy <249851642+d6g8k5htny-coder@users.noreply.github.com>
Date: Wed, 14 Oct 2026 15:32:50 -0500
Subject: [PATCH] docs: append scoped October universality literature update

Preserve the complete September novelty memo and distinguish geometric H1 ratio laws from the project's additive Gaussian H0 lifetime law. Attribute the new preprint without claiming external-proof verification or scientific acceptance.

Actual author: OpenAI / GPT-6 Astra Pro, Research task-loop continuation.
Source claim: main#275 comment6177794896.
Scientific effect NONE; organizational-independence credit0.
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 docs/RECON_NOVELTY_20260925.md | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/docs/RECON_NOVELTY_20260925.md b/docs/RECON_NOVELTY_20260925.md
index 569fb1e36..5550d371a 100644
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+++ b/docs/RECON_NOVELTY_20260925.md
@@ -13,3 +13,15 @@ Exact searches did not locate the P15 sharp factor 1/[3-log(3e-2)] in a matching
 This is a bounded web/arXiv/publisher reconnaissance, not a worldwide novelty certificate. Require a second independent literature audit before public "first" language.
 
 **Addendum 2026-09-27.** The nonauthor challenge requested in PR #114 located prior art the scoped search missed: Beliaev–Cammarota–Wigman (arXiv:1704.04943) and Azaïs–Delmas (arXiv:1911.02300) for the close-pair critical-point intensity; the fold normal form for the cubic gap; Chazal–Divol (arXiv:1802.10457) for near-diagonal density of expected diagrams; Bobrowski–Skraba (arXiv:2207.03926, arXiv:2406.05553) for random-persistence universality; and, for P15, Talagrand (STOC 2010) and Frankston–Kahn–Narayanan–Park (Ann. Math. 2021) alongside the two references already in the proof. The ledger records the narrowed deltas. Safe public wording, if DP-01's premise is later accepted, is "we derive …; to our knowledge …", never "first".
+
+## Addendum 2026-10-14 — distinguish universality statements
+
+The preceding paragraphs preserve the September 25/27 search record, not a current theorem-status inventory.
+
+[Heo, arXiv:2610.08257v1](https://arxiv.org/html/2610.08257v1), submitted 6 October 2026, is a preprint reporting different centered persistence-ratio limit laws for independent uniform samples in dimensions two and three, with the Čech filtration and homological degree one fixed (Theorem 1.1). It also excludes the proposed left-skewed Gumbel family (Corollary 1.4). These are attributed preprint results, not an independent verification of the complete proof here.
+
+[Bobrowski–Skraba, arXiv:2406.05553v3](https://arxiv.org/html/2406.05553v3), Section 2.2 and Theorems 3.1–3.2, concern a different universality statement: at fixed dimension, positive homological degree and filtration, the ratio limit is independent of the sampling density under their stated density and death-radius cutoff hypotheses. It may still depend on those fixed indices. A strong law of large numbers is not the stronger common-law conjecture across dimensions.
+
+Neither result directly proves or refutes the project's additive Gaussian H0 lifetime law. Point sampling and smooth random-field filtrations, ratio and additive-gap observables, and H1 and H0 must not be conflated. A common leading exponent does not establish a common full distribution. Keep the novelty comparison specific to the declared Gaussian H0 exponent, coefficient and elder-selection control; do not broaden it to all analytic near-diagonal persistence asymptotics.
+
+The [scoped reconnaissance report](https://github.com/d6g8k5htny-coder/main/issues/275#issuecomment-6177725462) records the primary sections inspected and coverage limits. This addendum is source-exposed OpenAI / GPT-6 Astra Pro literature maintenance, not a fresh worldwide-priority certificate or independent-human review. Scientific effect: NONE; the priority ledger, historical review states and theorem-acceptance predicates are unchanged.