Repository navigation
#1004 correction: remove the θ = 0 claim from ch02 and align Structure Q12 with SM §8.7 - #1027
Conversation
…§8.7 (#1004) The book's Chapter 2 asserted that the QCD theta-angle "is exactly zero as a consequence of the substratum's structural T-symmetry", directly after the sentence stating that T-invariance narrows theta to {0, pi} and does not fix theta-bar. The anchor is SM §5: Theorem 18 gives theta in {0, pi} at a T-invariant point and leaves the branch choice to the separate condition H-top; Proposition 20 and Theorem 21 show the construction fixes neither theta nor arg det(Y_u Y_d), so theta-bar is not determined; §5.5 leaves strong CP open under H-top and H-det. All three are paper derivations. - book/ch02-substratum.md:106 and its mirror FULL.md:749: delete the theta = 0 sentence. The preceding sentence, which states the status, is unchanged; the paragraph now ends "(SM §5).". The 10^-10 bound remains at ch06:52 / FULL:1574 and ch19:78 / FULL:5232 (and the ch06 and ch19 tables). - papers/Structure.md:1081 (Q12): "T-invariance -> theta = 0" becomes "T-invariance -> theta in {0, pi}, theta-bar not fixed", the wording of the SM §8.7 table row it cites. No proof, claim grade, count or G-row changes. The SM §8.8 "dissolves all three" / "three instances" sites (Edit 3 of the #1004 assessment) are deferred to a separate follow-up and are not touched here. Regenerated with sh ./build.sh Structure and sh ./build.sh --book (pandoc 3.1.3, xelatex, lmodern present; no shim). No dropped glyphs. The .tex diffs are confined to the edited paragraphs and the source-sha256 stamp. Structure.pdf: 99 pages, median 2931 chars/page, before and after. FULL.pdf: 559 pages, median 3068 chars/page, before and after. Re-grep: "exactly zero as a consequence" has 0 hits in book/ and papers/ .md/.tex (one historical audit report under verification/audits quotes the old sentence and is left as provenance); "T-invariance → $\theta = 0$" has 0 hits in .md; '\(\theta = 0\); topology' has 0 hits in Structure.tex; theta in {0, pi} sites in book/ and papers/ are unchanged (27) plus the new Q12 site. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_013T6pfKuv5mi3MXtKjH2tZb
The SC-42 integration check adds a mirror-parity predicate for each changed
chapter line. The ch02:106 edit adds one passing row ("chapter line mirrored
in FULL: T-invariance of the bijection $\varphi$ combined with detail...").
PASS (618 predicates, 280 mirror); -O output identical; added-text scan 0
hits; controls unchanged.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013T6pfKuv5mi3MXtKjH2tZb
Exact-head review: #1027 at
|
|
Merge record (verification). The merge commit is Generated by Claude Code |
Draft. Correction for #1004: Edits 1 and 2 only.
What changes
book/ch02-substratum.md:106) and its FULL mirror (book/The-Incompleteness-of-Observation-FULL.md:749). The sentence saying the QCD θ-angle "is exactly zero as a consequence of the substratum's structural T-symmetry" is deleted. The preceding sentence stays unchanged: T-invariance with detailed balance narrows θ to {0, π} and does not fix θ̄, which is open (SM §5). This matches SM Theorem 18 (θ ∈ {0, π}, with selecting 0 needing H-top), Proposition 20, Theorem 21 (θ̄ is not determined by the construction) and §5.5 (H-top and H-det are not discharged). The measured bound |θ̄| < 10⁻¹⁰ is still stated at ch06:52 and ch19:78 and their FULL mirrors.papers/Structure.md:1081). "(T-invariance → θ = 0;" becomes "(T-invariance → θ ∈ {0,π}, θ̄ not fixed;", matching the SM §8.7 table it cites (SM:1510).Not changed
Regenerated
sh ./build.sh Structureandsh ./build.sh --book: build OK, no dropped glyphs. Page counts unchanged (Structure 99, FULL 559). Each.texdiffers only in the edited paragraph and itssource-sha256stamp.Checks (local)
-O,--self-test)..md/.tex. One historical audit report quotes it and is kept as provenance.Links
No merge without exact-SHA owner approval.
Generated by Claude Code