# Open frontiers — where the framework needs help ### Seven genuine residuals · shareable · not a TOE pitch · chips unflipped **CPT Framework** **Date:** 2026-08-20 **Status:** **SHAREABLE NOTE** · `PASS_OPEN_FRONTIERS_NOTE` · **not a promote of theorems** **Parents:** `a_geom_expectation_bounds_freeze.md` · EQ-MEAS · access no-go · ED ontology · compact core **Public landing:** https://cpt-physics.com/status · https://cpt-physics.com/framework · https://cpt-physics.com/validation/open-problems **Lab:** this repo `documents/` Tags: **[E honesty]** · **[E process]** · **[O]** · **[Programme]** --- ## 0. One-line > **There are seven genuine physics frontiers.** A 3-slice has two leftovers: one dimensionless coupling (\(\alpha\)) and one length. Everything else that looks “open” is a different book, an INPUT, a park, or process. Help is welcome on those seven. It is not welcome as a 137-formula, a third proton lobe, a hold-close from Darwin, or a unique CKM matrix. --- ## 1. Count (confirmed) The expectation-bounds freeze lists **seven** right-book residuals, plus Paper I submit as **process** (not a frontier chip). | # | Frontier | Book after the bound | |---|----------|----------------------| | **F1** | One-seat continuum hold | One-seat packaging. Two-seat lab ED does **not** close it. | | **F2** | Hard bulk–face \(E=mc^2\) join | Independent geometric \(a\) and \(m\). Soft \(\mathcal{P}_{\mathrm{EMC}}\) is glue, not the theorem. | | **F3** | Visibility / occupancy | Multi-body / sum-class / manifested current. Not knot arithmetic. Not \(\alpha\). | | **F4** | Spin growth-rate / moment-arm | Dynamics of the tower. Not shopping \(0.744\) as a geometric constant. | | **F5** | Foot \(\delta\) and \(K/L\) first principles | S⁷ track. Route E \(\mu/\tau\) **ratios** are a different book. | | **F6** | Heavy flavour membership (native) | Which seats/scales match what SM calls charm/bottom/top. Not free \(c,b,t\) on \(e_i\). | | **F7** | Smash-fragment census | What *whole seats* exit a break-up. Not on-shell quarks. Optional until asked. | **Two leftovers (not frontiers):** one dimensionless EM coupling \(\alpha\), one length \(a\) (or cosmic \(R\) if Mach). \(\{c,\hbar,\varepsilon_0,e\}\) are clothes of those two. **Not a frontier:** Paper I comparison-theorem **submit** (process · **PARKED** / blocked). **Not a frontier:** origin of \(\alpha\), local \(m_e\), naming \(R\), unique CKM/PMNS, free CPT Lamb, free spin-2 action, 3-quark photograph, hold-as-\(m_e\) mint. If someone splits Foot \(\delta\) and \(K/L\) into two chips, that is **one** S⁷ residual with two named numbers, not an eighth frontier. If F7 is left unasked, the live physics list is **six** plus F7 parked. The freeze’s written seven is F1–F7 as above. --- ## 2. How to read this (third parties) This is a working one-force research programme, not a finished unified-field certificate. Public chips stay honest: continuum hold **OPEN**, \(\alpha\) **INPUT**, hard join **OPEN**. A useful contribution: - names **which F** it is, - stays in that **book**, - states what would **falsify** the attempt, - does **not** flip a public chip. A contribution that “derives \(\alpha\) from a new \(\pi\)-combination,” “adds a third proton lobe,” or “closes hold with Darwin / Maxwell recovery” is the wrong book. See expectation bounds. **Licence.** Lab notes are research. Do not treat a numerical match as a public theorem. Promote only through a human integrity gate. --- ## 3. The seven ### F1 — One-seat continuum hold **Problem.** A confined circulating seat should sit at a stationary, non-radiating scale without runaways. That is **one-seat packaging**. **Already scored.** Laboratory two-seat electrodynamics is Coulomb + magnetism as a boost + Darwin / Liénard–Wiechert at \(O(v^2/c^2)\). Measurements are seat–seat. Dual cancel, Schott/Goedecke, Coulomb bunching, ILC-1, and jerk-as-Abraham–Lorentz do **not** close hold. Lab one-seat Maxwell (DYN-G) Lorentz **SCORED_NO**; Nicole \(\lvert A\wedge\mathrm{d}A\rvert^2\) on the fibre tube **expands**; curvature–current \(H\) couplings are dials, not hold. One leftover length yields only \(O(1)\) soliton roots; a thin Compton-class tube is a hierarchy (F2). Extra fields (dilaton / unfrozen \(g\) / Einstein) do not mint that length. Hopfion / ACT \(\neq\) H-D hold. **HOLD-PARK (25 Aug).** The local one-seat / thin-seat *programme* is **parked**, not closed. Public chip stays **OPEN**. Reopen only with F2 **L-NEW** or a transmutation named in \(L\). **F1-WEBER-SLICE (26 Aug):** a per-seat 4D→3D Weber cut, including hyperbolic/parabolic type, does not close hold by boundary conditions. **Would count.** A new one-seat principle or functional whose stationary point is the Compton-class radius, with a stability statement that is not the runaway equation, and that does not silently import two-seat Darwin. Spec **before** numerics. The functional is not \(S_{\mathrm{CPT}}^{(0)}\), not MOS-A, not E4 on frozen \(T(1,1)\), and not CBM-3E — and not one-scale leftover \(R=1\). **Would not count.** “Maxwell is recovered, therefore hold.” “Weber two-body on a ring restores \(|I|\).” Point Abraham–Lorentz as the law. Rediscovering SAP / MOS-A / E4 / CBM-3E under a new name. ILC delay as the EOM. Selling programme-parked as hold closed. Hopfion as hold. Dilaton scan on leftover \(R\). Per-seat 4D→3D Weber slice, straight or hyperbolic/parabolic, with BCs as the balance. **Entry:** `a_geom_ed_ontology_freeze.md` · hold H-D stack · expectation bound B-HOLD · lab approach `a_geom_frontiers_working_map.md`. --- ### F2 — Hard bulk–face \(E=mc^2\) join **Problem.** Identify geometric length \(a\) and inertial mass \(m\) independently, then join \(E=mc^2\), without cutting off at the classical radius. **Already scored.** Soft package \(\mathcal{P}_{\mathrm{EMC}}\) (Mach \(m\), \(a=\hbar/(mc)\)) is operational glue **[M]**. \(R=r_e/2\), dual cancel, and \(\alpha\)-screening as hard join are **killed**. **F2 \(L_*\) classification (21 Aug):** only a new independent length (**L-NEW**) survives the join gate; present \(R_{\mathrm{eff}}\) fails; compactness/\(\mathbb{Z}_2\) midpoints are not meters (`a_geom_f2_lstar_survivor_classification.md`). **Would count.** A classification of which dimensionful data survive Lemma L1, then a new length \(L_*\) not built from \(a\) or \(\lambda_C(m_e)\), independent of \(m\), that joins face energy to bulk mass without a free cutoff. **Would not count.** Rebrands of the 2026 local-\(m_e\) census. Haar volumes as meters. Present \(R_{\mathrm{eff}}\) (Mach+lab invert) as that \(L_*\). Naming \(R\). **Entry:** `a_geom_o_emc3_package_card.md` · access no-go N-ME · B-JOIN / B-ME · R-ONT. --- ### F3 — Visibility (multi-body / sum-class) **Problem.** Which lattice states are seen (Hopf / Free occupancy) is a **slice** question. Knot arithmetic does not select it. **Already scored.** gcd, writhe, single-knot current as dual visibility law: **closed-null**. \(\alpha=\tan\beta\) names the embedding; bright/dark is occupancy of that embedding — **sister of \(\alpha\), not \(\alpha\)**. **Would count.** A multi-body / sum-class / channel rule that selects occupancy without a per-state fitted slice, and that does not identify the selector with \(\arctan\alpha\). Must beat partner-channel **M4** (not Free sum-class alone) on a frozen split that includes Hopf-only and Free-only negatives, and must predict \((5,6)\) and \((8,21)\) without listing them. **Would not count.** A new knot invariant “proving” Hopf vs Free. Merging this into a derivation of \(\alpha\). Beating sum-class precision \(0.08\) as a close. Hand-listing the off-diagonal twins (M5). PDG branching as the hyperedge catalogue. **Entry:** `visibility_gates_residual_ledger.md` · bound B-VIS · lattice synthesis G1–G2 · VG-O1. --- ### F4 — Spin growth-rate / moment-arm **Problem.** The *form* of the Regge tower (\(J\sim M^2\), constant tension, compactness) is banked. The slope **ratio** \(\approx 0.744\) vs an \(\alpha\)-selected sublevel is not a missing geometric constant. **Already scored.** Five projection candidates for \(0.744\) **[F]**. No clean \((p,q)\to J\). Resonance \(E_{\mathrm{rot}}=\alpha E_{\mathrm{base}}\) *uses* \(\alpha\). **Would count.** A dynamical growth-rate or moment-arm argument that predicts the residual **ratio** (or predicts a new, named correction) without shopping \(O(1)\) dials. Depends on an F1 stress-energy/current functional. **Would not count.** Another projection factor equal to \(0.744\). Treating \(0.744\) as \(\tan\beta\). Restarting the already-banked \(4/3\to 2\) centrifugal **channel** as if it were still the residual. **Entry:** `g7_regge_0744_honesty_freeze.md` · bound B-SPINJ. --- ### F5 — Foot \(\delta\) and \(K/L\) first principles **Problem.** The F5 investigation is closed in this book (§0bn1118, `CLOSED_FT_F5_WORK`). R-δ is **[E INPUT]**. R-K/L is **[E]**, the algebra of that input and not a second input (Doctrine v1.1.6). The Foot model is established under the named premise that \(\delta\) is an input of this book. No further progress can be made here. The investigation belongs to another book, and that book is not named. \(K/L=\sin\delta/(3\sin 3\delta)\) is the algebra of that input. This label is not a derivation of \(\delta\). **Already scored.** Hierarchy band + pole **[E]**. The map is algebra once \(\delta\) is given. The eigenvalue hunt on this skeleton is stopped. The audit's sentence that put \(\delta\) on the same footing as \(\alpha\) and \(a\) is superseded the same day. Route E Willmore ladder already matches \(\mu/\tau\) **ratios** vs data — **do not merge tracks** without a named join. **Would count.** Nothing further in this book. The investigation is closed. \(\delta\) is the declared input. **Would not count.** Reopening this investigation. Filing \(\delta\) as a third leftover beside \(\alpha\) and \(a\). Selling this close as a derivation of \(\delta\). Resuming the eigenvalue hunt on this skeleton. Two-channel doubling of Foot \(K/L\) (already **FAIL**). Circular \(E_3(\delta_{\mathrm{obs}})\). Selling \(\mathcal{P}_\delta\) (O1–O5) as a bare-\(S^7\) theorem. Inserting \(\delta_{\mathrm{obs}}\). Importing Route E ratios as that derivation. Quoting F5-MODE \(\ell=4\) tetrahedral \(125.26^\circ\) or \(\ell=5\) \(\approx 134^\circ\) as \(\delta\). The southern-window **rhyme** (RC-F5-WIN) is a clue of chart consistency, not this theorem. The uniqueness lemma already scored **Bare NO**, and on this reduction **F5-MODE FAIL_IDENTIFY**. **Entry:** `a_geom_s7_delta_KL_residual_status.md` · \(\mathcal{P}_L\) card · FAV acceptance close · `a_geom_f5_mode_zonal_results.md` · `a_geom_f5_grok_referee_audit_results.md`. The F5 investigation is closed in this book. R-\(\delta\) is **[E INPUT]**. R-\(K/L\) is **[E]**, the algebra of that input and not a second input. \(\delta\) is the declared input. This label is not a derivation. No promote. --- ### F6 — Heavy flavour, native **Problem.** Which geometric seats, lobe patterns, and mass scales correspond to sectors SM calls charm / bottom / top. **Already scored.** Quark = lobe/channel **label**, not a primitive. Free \((c,b,t)\) on octonion \(e_i\) is **FORBIDDEN**. G₂ \(3\oplus\bar 3\) is a light **slot**, not six flavours. **Would count.** A native multiplet / lattice / scale map to heavy **hadrons** (or named open heavy channels) without inventing free heavy quarks. **Would not count.** \(e_5=c\). CKM-first. Six-quark basis as derivation. **Entry:** `flavour_heavy_lobe_reframe.md` · FL-HEAVY park. Public chip: **PARKED**. --- ### F7 — Smash fragments (optional) **Problem.** If a bound seat is broken, what **whole seats** exit (other knots, links, unknots, free trains)? **Already scored.** Probe ≠ smash. No 3-quark photograph. Proton \(n_{\mathrm{lobe}}=2\), neutron \(3\). Crossings ≠ quarks. **Would count.** A named census of outgoing *seats* against exclusive hadron data, tagged as the smash book. **Would not count.** On-shell quarks as smash products. Mixing probe \(\lambda\) into jet counts. **Entry:** LP-D3 quark/probe absolute. Leave quiet until asked; not ahead of Paper I. --- ## 4. Programme process (not F1–F7) **Paper I submit** is process, not a GRMHD mill, not a new residual chip — and is **PARKED** (blocked) for now. Help on F1–F6 is the live ask. **Lab approach (not a public chip):** `a_geom_frontiers_working_map.md` — Paper I / II first (nearest theorem-grade *texts*; submit PARKED); F1 spec+DICT FAIL_IDENTIFY; F5 uniqueness on R-HOPF FAIL toward \(\mathcal{P}_\delta\); F3 occupancy with M4 kill scored; F2 is L1 survivors, not present \(R_{\mathrm{eff}}\). T-WB is an orientation card plus two source cards, not a literature-bound theorem. --- ## 5. How to pitch in 1. Read https://cpt-physics.com/framework (what this is / is not) and https://cpt-physics.com/status (chips). 2. Pick **one** F. Load the **bound** so the attempt stays in book. 3. Write a short design: premise, kill test, what would count. 4. Send a note via the hub contact / community channel, or open a lab freeze in this style (`a_geom_*_design.md` + honesty tags). Do not send a 137-series, a unique PMNS, or “hold is closed because Darwin.” --- ## 6. Integrity | Gate | Verdict | |------|---------| | Seven frontiers named; Paper I process separate | **PASS** | | Each has a bound and a kill | **PASS** | | Lab working-map locks (M4, \(L_*\neq R_{\mathrm{eff}}\), F5 uniqueness, T-WB orientation) | **PASS** · `a_geom_frontiers_working_map.md` | | No chip flip / no promote | **PASS** | **Exit:** `PASS_OPEN_FRONTIERS_NOTE` --- ## 7. One-line for agents > **Seven frontiers: F1 one-seat hold · F2 hard join · F3 visibility multi-body · F4 spin growth-rate · F5 Foot δ [E INPUT], K/L [E] algebra of that input · F6 native heavy membership · F7 smash seats if asked. Paper I is process. Lab approach `a_geom_frontiers_working_map.md`. α/m_e INPUT. Hold, hard join, and fl-heavy unflipped. No promote.**