Results — R-ONT-2: Honest \(\sqrt{6}\) Brick Card
No upgrade · lock extra law · brick not retired · R-ONT derivation path CLOSED · no promote
CPT Framework — absolute-scale \(R\) ontology · WP R-ONT-2 Date: 2026-08-16 Status: BANKED ·PASS_R_ONT2_BRICK · \(\sqrt{6}\) [M] · PASS_LOCK false
Parents: R-ONT-0 · R-ONT-1 · AST / M13 three-gate · SC4 B-√6
Census: scripts/investigations/s3_geometry/r_ont2_sqrt6_brick_census.py · data/r_ont2_sqrt6_brick_census.json
Tags: [E honesty] · [Programme] · [M packaging] · [O residual]
0. One-line
R-ONT-2 freezes the \(\sqrt{6}\) ledger after R-ONT-1: the \(L=2\) eigenvalue \(\omega_2=\sqrt{6}\,c/R\) stays [E]; the lock \(\omega_2=H_0\) stays an OPEN extra law (not derived, not falsified); therefore \(R=\sqrt{6}\,c/H_0\) is not upgraded and not retired — it remains the SC4/M13 [M]* brick; the R-ONT derivation path for that brick is CLOSED pending a new slaving/clock principle; no \(m_e\) mint; no promote.
1. Integrity (held)
| Rule | Held | |------|:----:| | No silent theorem upgrade | Yes | | No silent brick retirement | Yes | | FAIL_DERIVE \(\neq\) \(\omega_2\neq H_0\) | Yes | | FLRW \(\Omega_k=-1/6\) still rejected | Yes | | No \(m_e\) mint | Yes | | No promote | Yes |
2. Two layers (do not collapse)
| Layer | Statement | Tag after R-ONT-1 | |-------|-----------|-------------------| | Eigenvalue | \(\omega_2=\sqrt{6}\,c/R\) | [E] (S7a/S7d; \(L(L+2)-2=6\)) | | Lock | \(\omega_2=H_0\) | OPEN extra law | | Mach anchor | \(R=R_{\mathrm{spin2}}=\sqrt{6}\,c/H_0\) | [M] = eigenvalue + lock |
R-ONT-0’s candidate reading (tensor coherence length, not FLRW curvature) is not a present identification. R-EFF: the framework does not know what \(R\) is; \(R_{\mathrm{eff}}\) is the Mach-inferred length; \(\sqrt{6}\,c/H_0\) is the M13 dual.
3. Brick card (live)
| Field | Freeze | |-------|--------| | Symbol | \(\sqrt{6}\) in \(R=\sqrt{6}\,c/H_0\) | | SC4 / M13 role | Cosmic-radius anchor (B-√6) | | Status | [M] | | Upgrade to [E] | Denied (R-ONT-1) | | Retire | Denied (lock not falsified as a law) | | Derivation path | BLOCKED until a new named lock principle | | \(H_0=69\) | Still M14-class / circular if recycled |
M13 three-gate unchanged: G-H0 and G-EXT stay observational; G-R still forbids naive expanding \(R\).
4. What is closed vs what may reopen
| Closed without a new principle | May reopen only with | |--------------------------------|----------------------| | C3 \(\Rightarrow\omega_2=H_0\) | Named slaving / matter-clock / non-imported friction law | | S7d Hubble-class \(\Rightarrow\) Mach \(\sqrt{6}\) | Same | | \(3H\dot q\) paste as lock | A derived damping, not an EH import | | R-ONT-3+ on this skeleton | New principle, new WP name |
Default after this card: stop the lock-derivation spine. Theory effort may still discuss \(R_{\mathrm{spin2}}\) as ontology, but must not treat \(\sqrt{6}\) as derived.5. Gates
| Gate | Status | |------|--------| | PASS_NO_UPGRADE | PASS | | PASS_EIGENVALUE_STILL_E | PASS | | PASS_LOCK_STILL_OPEN | PASS | | PASS_BRICK_STILL_M | PASS | | PASS_BRICK_NOT_RETIRED | PASS | | PASS_NOT_THEOREM | PASS | | PASS_NO_ME_MINT | PASS | | PASS_NO_EH_PASTE | PASS | | PASS_NO_PROMOTE | PASS | | PASS_INTEGRITY | PASS |
Status:PASS_R_ONT2_BRICK
6. Kill board (R-ONT-2 additions)
| ID | Kill | |----|------| | K-RONT2-1 | \(R=\sqrt{6}\,c/H_0\) sold as [E] after this card | | K-RONT2-2 | Brick dropped because “R-ONT-1 failed” (that was FAIL_DERIVE, not FAIL_LAW) | | K-RONT2-3 | New C3 re-arrange sold as R-ONT-3 | | K-RONT-1…6 / K-RONT1- | Held |
7. Next
| Option | Action | |--------|--------| | Default | Stop lock-derivation; \(\sqrt{6}\) [M]; M13 gates stand | | Later | New lock principle only | | Not | \(m_e\) mint; \(\Omega_k=-1/6\); EH; GE-6 |
8. One-line
§R-ONT-2: √6 brick stays [M]; lock extra law; no upgrade; no retire; derivation path CLOSED; no promote.