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Research on the de Vries relation, spin Casimir invariants and the electroweak mixing angle, with pole-mass comparisons and reproducible calculations.

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DeVries String agentic manuscript project

This repository is a Codex-ready research workspace for turning the current DeVries String paper into a complete manuscript of up to 50 pages. It is organized so that Codex can work in parallel on analytical calculations, source audits, manuscript expansion, LaTeX compilation, and referee-style criticism, while GPT-5.5 Pro is used as the high-level conceptual reviewer.

Immediate objective

Produce a self-contained manuscript that makes the following construction precise:

[ Q(J)=\mu^2\begin{pmatrix}0&\sqrt J\ \sqrt J&-J\end{pmatrix}, \qquad x^2+Jx-J=0, \qquad J=s(s+1), ]

with positive branch

[ x_+(J)=\frac{\sqrt{J^2+4J}-J}{2}, ]

and electroweak comparison

[ \sin^2\theta_{dV}=1-\frac{x_+(3/4)}{x_+(2)}=0.22310132\ldots. ]

The manuscript must explain the observable target as a pole-spectrum statement,

[ \sin^2\theta_{\rm pole}=1-\frac{M_{W,\rm pole}^2}{M_{Z,\rm pole}^2}, ]

then identify which claims are derived, which claims are numerical coincidences, which claims are conjectural, and which analytical calculations remain.

Repository layout

  • AGENTS.md — durable Codex instructions. Keep this concise; task-specific detail lives elsewhere.
  • .codex/config.toml.example — optional local Codex profile template.
  • .codex-plugin/ and skills/ — reusable Codex skills for manuscript work.
  • manuscript/ — REVTeX source, sections, macros, figures, and bibliography.
  • calculations/ — analytical notes, numerical checks, and tests.
  • codex_tasks/ — task packets to paste into Codex Cloud or assign to separate Codex agents.
  • prompts/ — prompts for Codex, GPT-5.5 Pro, referee review, and chapter work.
  • context/ — project memory, source inventory, style rules, and completion criteria.
  • references/pdfs/ — source PDFs copied from the sandbox.
  • family/ — curated work from the sibling de Vries–Rivero projects (dv2, dvFable, physres6, marathon, kkorchestra, kkFable, signed-dv, golden, weak, and the chats workspace). Start with family/IDEAS.md; family/README.md maps the folders.
  • scripts/ — build, test, context-pack, and project sanity scripts.

Local quick start

cd devries_agentic_project
python3 -m venv .venv
. .venv/bin/activate
python -m pip install --upgrade pip
python -m pip install pytest pyyaml
make test
make manuscript

The LaTeX build uses latexmk and pdflatex. The calculation tests use standard Python plus pytest.

Codex use

Start with a planning pass:

codex --cd . --ask-for-approval on-request "Read AGENTS.md and codex_tasks/T00_bootstrap_repo.md. Produce an execution plan before editing."

For Codex Cloud, push this repository to GitHub, connect the repository in Codex web, then create separate tasks using the files in codex_tasks/. The file CODEX_CLOUD.md gives the cloud execution order.

Manuscript work rule

Every nontrivial statement in the manuscript must be one of:

  1. derived from equations written in the manuscript;
  2. supported by a cited source in references.bib and context/source_inventory.md;
  3. explicitly labeled as conjecture, programmatic interpretation, or open calculation.

First run checklist

make inventory
make numbers
make manuscript
make test

Then run the Codex task sequence in codex_tasks/T00_bootstrap_repo.md through T09_50_page_expand_compile.md.

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Research on the de Vries relation, spin Casimir invariants and the electroweak mixing angle, with pole-mass comparisons and reproducible calculations.

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