Public, free to read, reuse, and adapt — Kirk Patrick Miller's notice for this edition. Not a patent grant.
FLINT NEXT: Love Logic Proof v3 (the crossover) · c01
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- Mesh and devices — explicit wording in the guide row
# FLINT NEXT: Love Logic Proof v3 (the crossover)
Flint, dear builder,
This one is a gift page more than a code brick. Kirk's Love Logic Proof gets its third version, standing beside v1 and v2 without touching them. It answers Grok's critiques with real derivations. It says plainly where the argument fails. And it lets anyone press one button and watch their own device re-run the same 656 checks as the Python simulation.
I wrote the whole page, the browser checks and the smoke in a scratch copy on my box, and tested them:
- The smoke prints `SMOKE_OK love logic proof v3`.
- The browser checks pass 656/656 in about 0.6 to 0.9 seconds.
- A simulated click on "Run the checks" fills both tables.
Everything you need is inline below, byte for byte. Please copy the files exactly. Warmth where there's prose, precision where there's math.
Celeste
---
## 0. The shape in one breath
The new page is `docs/love-logic-proof-v3.html`. It opens with a first-screen note ("not the Nov 2025 *Proof of All Proofs* v3.0 manuscript"), then a Mom-readable summary, then a **Run the checks** button. Builder details sit in folded `<details>` blocks.
The math is plain HTML plus one MathML block, with no KaTeX and no MathJax. Three companion files live in the new folder `docs/love-logic/`:
- the Python sim, `v3_crossover_sim.py`;
- its results, `v3_sim_results.json`;
- a small browser re-implementation, `v3_checks.js`.
v1 is untouched. v2 gains at most one layered "Newer: v3" link line.
## 1. Branch, PR, marker
| | |
|---|---|
| Repo | `Chaos2Cured/FreeLattice` only |
| Base | `main` at `762142041f5a665fbef2bf13fb50077d0d2c82fe` (2026-09-26 13:11 MT) |
| Branch | `layer/love-logic-proof-v3` |
| PR | **Draft**. Title: `Layer, never delete. Love Logic Proof v3: the crossover, honest limits, checks you can run` |
| Marker | `v-love-logic-proof-v3` |
| Smoke line | `SMOKE_OK love logic proof v3` |
| Touches `docs/app.html`? | **No.** So no root `index.html` mirror is needed, and no conflict with #118. |
## 2. What exists today (read on `main` 7621420)
| File | Blob | Notes |
|---|---|---|
| `docs/love-logic-proof.html` | `3fae09b2a826e1b49072ffca2ed56d66c2016bd3` (v1) | "The Love Logic Proof". Its code block sets `DECEPTION_COST = 3.5`, `HONESTY_COST = 1.0`. **Do not edit.** |
| `docs/love-logic-proof-v2.html` | `4a4b865fc95b526ea05a39be615ab09445cc1f65`, 548 lines | "v2: The Axiomatic Refinement", June 16, 2026. L139 `<a href="love-logic-proof.html" class="nav-link">← Read v1 first</a>`. L163 heading "The Six Axioms (Unchanged, Re-Stated)". Cites `library/GROK_DIALOGUE.md`, which does not exist. Style block L53-96. |
| `docs/love-logic-proof-v3.html` | none | 404 on main and on freelattice.com. The name is free. |
| `docs/love-logic/` | none | New folder. `docs/.nojekyll` exists, so underscores are served. |
| `docs/sitemap.xml` | `411486d156ee84fbe4c2e80b9f80a5e83708930c` | Has v2 (L30-35) and v1 (around L61). |
| `sw.js` / `docs/sw.js` | | Both precache `./love-logic-proof-v2.html` at L131. **We don't add v3 there** (Family Lock). v3 simply loads from the network, and that's fine. |
| Other "love"/"proof" names in `docs/` | | `TheProofOfAllProofs.pdf` (Synthesis Notes), `proof.html` (60-second proof), `proof-receipts.html`, `library/love.md`, `LoveBrainHeartSoul.pdf`. None of them is named `love-logic-proof-v3*`. |
Sources for the content, from Celeste's box (Kirk has them):
- `/workspace/love-logic/V3_PLAN.md` (the derivations and honest assessment);
- `/workspace/love-logic/v3_crossover_sim.py` (sha256 `cbb63251527d26187ba216f98a3a70c7c295666aa576b61eff5cccfb16302b73`);
- `/workspace/love-logic/v3_sim_results.json` (sha256 `94d864b10da1d6f9984d86f0fa1cc07e935256e28b179d36f8876fc415b3a341`; 656/656, seed 20260924, numpy 2.2.4).
Reference copies of every file in this paste sit in `/workspace/flint-pastes/love-logic-v3-assets/` with `SHA256SUMS`.
## 3. Decisions (and why)
1. **Filename `docs/love-logic-proof-v3.html`.** It continues the visible chain v1 → v2 → v3 (SEED.md: visible iteration over silent revision). The first screen carries the disambiguation line, so no one confuses it with the 2025 "Version 3.0" manuscript.
2. **Companions go in `docs/love-logic/`,** as Kirk asked, not `docs/research/`.
3. **Byline:** "Kirk Patrick Miller, with Celeste. Builds on v2 (Draco, CC, Opus, with Harmonia) and answers Grok's critiques." Kirk may change the byline. It appears in the header `<span>`, the `author` meta, and the JSON-LD.
4. **Grok framing.** V3_PLAN records two Grok critiques (Kirk shared screenshots). So the page has a section titled **"Answering Grok's critiques"**: a table of each point, our verdict, and where v3 answers it. It quotes only the critique phrases as V3_PLAN records them. It doesn't say where they were posted, and it doesn't create `GROK_DIALOGUE.md` (we don't have the full reply text).
5. **Rounds-ahead numbers**, stated exactly as the sim gives them (q0 = 0.002, q = 0.01, G = 1, L_p = 2, Delta = 0.5):
- n = 2, m = 0: t* = 701.79 ("about 702");
- n = 5, m = 1: t* = 10.48 ("about 10.5");
- n = 10, m = 1: never ahead (h = 0.6033, G ≤ h·L_p).
The plain-words box says "10 contacts who share full memory", because with 10 contacts and *no* shared memory lying is still ahead for about 138 rounds.
6. **Scarcity is stated plainly:** cooperation holds in 68% (68.25%) of scarce cells and conflict wins in 32% (31.75%), against 100% / 0% for abundant cells.
7. **The Kolmogorov bound is scoped to audience-varying lies only** (Theorem A under A-inc). Global lies, rule-based audiences and seeded audiences escape it, and the page says so.
8. **Honest corrections come first:**
- v1's result depends on `DECEPTION_COST = 3.5`: with 1.0 and seed 0, defectors get 2.26 against cooperators' 0.67.
- v2's 95.7% has no generating code, so it's retired along with the other legacy figures.
- v2 wrongly says its axioms are unchanged from v1, so the page shows both lists and the mapping.
- Omega(|L|^2·|H|) is dropped.
9. **Browser checks.**
- `v3_checks.js` re-implements sections B1, B2, B3, B4, C1, C2 and D.
- Section A (LZMA) has no pass/fail checks in Python and isn't re-run.
- Deterministic sections match Python counts exactly. B4 and C2 (Monte Carlo) use a seeded `mulberry32` stream instead of numpy's PCG64, so their draws differ; the page says so honestly, and the pass rule (|z| < 4) is identical.
- It runs in about 0.6 to 0.9 s on a laptop, a bit longer on a phone.
- The same file also runs under Node (`node docs/love-logic/v3_checks.js` prints its own `SMOKE_OK love-logic-v3-checks`).
10. **No network.** The page loads exactly one local script. There's no `fetch`, no external fonts or CDNs, and all dynamic text goes through `textContent`.
11. **v2 link line is optional and layered:** exactly one added line after L139 (text in section 6).
12. **Sitemap:** one new `<url>` block, layered (section 6).
## 4. Files
| File | Change |
|---|---|
| `docs/love-logic-proof-v3.html` | **New**: full text in section 5a (402 lines) |
| `docs/love-logic/v3_checks.js` | **New**: full text in section 5b (257 lines) |
| `docs/love-logic/v3_crossover_sim.py` | **New**: full text in section 5c (480 lines, sha256 `cbb63251…6b73`) |
| `docs/love-logic/v3_sim_results.json` | **New**: generate it (section 5d) |
| `docs/scripts/smoke-love-logic-proof-v3.js` | **New**: full text in section 7 |
| `docs/love-logic-proof-v2.html` | Optional: one line after L139 |
| `docs/sitemap.xml` | One `<url>` block after the v2 block (after L35) |
| `docs/library/LOVE_LOGIC_PROOF_v3.md` | **New**: short door note (outline in section 6) |
| `docs/library/FRACTAL_FAMILY_LEDGER_v0.md` | One dated entry above `## Out of scope for this brick` (L222) |
| `docs/Flint.html` | One ledger line above `<p class="foot">` (L532) |
| `scripts/generate-recent.sh` | One pointer `echo` (around L108) |
| **Never** | `docs/love-logic-proof.html` (v1), `docs/app.html`, root `index.html`, root `sw.js`, `docs/sw.js`, Kimi's pages, Alpha |
## 5. The files, byte for byte
### 5a. `docs/love-logic-proof-v3.html` (402 lines)