# Freeze — Expectation bounds

### Name the book · do not treat every residual as the same homework · no chip flip · no promote

**CPT Framework — programme honesty**  
**Date:** 2026-08-20  
**Status:** **THEORY FREEZE** · `PASS_EXPECTATION_BOUNDS` · **clarification only**  
**Parents:** ED ontology freeze · EQ-MEAS · EM units access no-go · LP-D3-ABS · R-eff ontology · compact core · doctrine F2/F3/F16 · VIS-GATE · G7 0.744 · confinement topology · AS15 · MOM-WEAK  
**Not:** a residual-chip flip · a hold close · an α derivation · a public promote

Tags: **[E honesty]** · **[E process]** · **[Programme]**

---

## 0. One-line

> **Two leftovers downstairs: one dimensionless coupling (\(\alpha\)) and one length.** “Open frontier” is honest only if the book is named. Hold is one-seat. Visibility is not \(\alpha\). Equivalence is to measurements, not SM/QED ontology. No chip flip. No promote.

---

## 1. Four kinds of residual

| Kind | Meaning | How to speak |
|------|---------|----------------|
| **Wrong book** | Still open, not closable by the tool people keep bringing | Bound the sentence |
| **Not owed** | Outside the equivalence target | Ceiling, not homework |
| **Input / access** | A 3-slice cannot mint it | INPUT, not “unsolved 137” |
| **Genuine frontier** | Right book, still unsolved | Keep “open” |

Do not write “the framework cannot cover confinement / radiation / gravity” as a blanket. Bound the **object in the book**.

### 1b. Two leftovers **[E honesty]**

\[
\boxed{
\begin{aligned}
&\text{A 3-slice has }\textbf{one dimensionless EM coupling }(\alpha)\\
&\text{and }\textbf{one length }(a,\text{ or cosmic }R\text{ if Mach).}\\
&\text{Everything else is structure, a ratio to those units,}\\
&\text{unit clothing, or the wrong book.}
\end{aligned}
}
\]

\(\{c,\hbar,\varepsilon_0,e\}\) are clothes of those two (B-UNITS). \(\pi^5\), \(3/(2\alpha)\), \(j=\sqrt\alpha\,l\), leak fractions, and mass ratios *use* the leftovers; they do not mint a third constant. Resonance \(E_{\mathrm{rot}}=\alpha E_{\mathrm{base}}\) is a use (B-SPINJ), not a seventh leftover.

---

## 2. Bound now (already scored)

| ID | Residual | Bound (say this) | Do not expect |
|----|----------|------------------|---------------|
| **B-HOLD** | Continuum hold **[O]** | **Single-seat** packaging. Two-seat lab ED is Darwin / boosted Coulomb; a measurement is seat–seat (ED-14/15). | Maxwell recovery, dual cancel, Schott/Goedecke, Coulomb bunching, ILC-1, jerk-as-AL, a two-body bench test closing hold |
| **B-JOIN** | Hard bulk–face \(E=mc^2\) **[O]** | Independent geometric \(a\) and \(m\). Soft \(\mathcal{P}_{\mathrm{EMC}}\) is glue **[M]**. | Dual cancel, \(\alpha\)-screening, \(R=r_e/2\) |
| **B-ALPHA** | Origin of \(\alpha\) | Access no-go: slice-access on the **present** 3-algebra. Public **INPUT** (F2). | A local knot formula for 137; L1 as an \(\alpha\) theorem; census exhaustion as a theorem |
| **B-ME** | Local \(m_e\) | L1 homogeneity. Needs a second length not built from \(a\) or \(\lambda_C(m_e)\). | 511 keV from the knot; Haar volumes as meters |
| **B-MACH** | Mach / M13 | Cosmic relation among shadows. Consumes \(\alpha\). Convention-conditional **[P]**. | Local mint of units; \(H_0\simeq 69\) as a one-convention theorem |
| **B-R** | What \(R\) is | Unnamed \(R_{\mathrm{eff}}\) only. | Naming FLRW \(R_k\), spin-2 coherence, or horizon; shopping remainder \(k\) |
| **B-QUARK** | Quarks / DIS | Probe ≠ smash. No 3-quark photograph. Lobes 2 vs 3 is lab geometry. | Virtual photons, PDFs, May \(F_2\) as a theorem, live \(uud\) sites |
| **B-MIX** | Unique CKM / PMNS | **DENIED / PARK.** Oscillation *numbers* stay in the measurement basket. | Invented \(U_{\mathrm{PMNS}}\) / unique \(V_{\mathrm{CKM}}\) |
| **B-HEAVY** | FL-HEAVY | **PARKED** as native membership and scale. | Free \(c,b,t\) on \(e_i\) |
| **B-FS** | Free CPT FS / Lamb | **PARKED.** Ambient recovery is not those theorems. | “Problem solved” without promote |
| **B-S2** | Free spin-2 action | **PARK.** Fierz selected, not derived. | A next-obligated Einstein-Hilbert mint |
| **B-WV** | Willmore = 3D Weber | **PARKED** (O-WV). Three books stay independent. | Collapsing Face ED onto Willmore |
| **B-RT** | NZ shadow / “GRMHD” | Paper I is a comparison theorem. SNAP can flip. | In-repo BHAC / Kerr fluid as an NZ image |
| **B-VIS** | Visibility / per-state slice (G1–G2) | Sister of \(\alpha\), **not** the same object. \(\alpha=\tan\beta\) names the embedding; bright/dark is occupancy of that embedding. Knot arithmetic (gcd, writhe, single-knot current) is the **wrong book** (VIS-GATE closed-null). | A knot invariant selecting Hopf/Free or seen/dark; merging G1 into B-ALPHA |
| **B-UNITS** | SI packaging \(\{c,\hbar,\varepsilon_0,e\}\) | After access no-go the downstairs leftovers are **one dimensionless coupling** and **one length**. \(\varepsilon_0\) is \(\alpha\) in SI clothes (AS15). \(c\) is face exchange-rate packaging. \(\hbar c/a\) is L1’s *link*. | A geometric farad/metre; geometric \(c=2.998\times10^8\); geometric \(\hbar\) separate from \(a\) |
| **B-SPINJ** | Spin magnitude / 0.744 | Form of the tower **[E]** (constant tension, compactness). Resonance \(E_{\mathrm{rot}}=\alpha E_{\mathrm{base}}\) *uses* \(\alpha\). \(0.744\) is a slope **ratio**, not a missing projection (five candidates **[F]**). | \((p,q)\) or a Hopf factor giving \(J\); \(0.744\) as a geometric constant to discover |
| **B-CONF** | Confinement-as-topology | Topology gives knot vs link and integer linking. It does **not** give QCD confinement or fractional \(U(1)\) (C-TOP **FIRE**). Dynamical remainder **is** one-seat hold (B-HOLD). | \(\gcd>1\Rightarrow e/3\); a second confinement homework beside hold |
| **B-WEAK** | \(G_F\) / Weinberg angle as a second coupling | Weak *numbers* may sit in the measurement basket (EQ-MEAS). A downstairs mint of a new constant is the same overclaim as unique \(V_{\mathrm{CKM}}\). Absolute \(\Gamma\) is rates, not a \(G_F\) theorem. | A second fine-structure constant from the knot; unique geometric \(\theta_W\) |
| **B-HAD** | Hadron barcode vs select law | Occupancy is visibility, not the PDG list. Select-law \(pq\pi^5\) is a **channel** (once \(m_e\) is INPUT, \(\pi^5\) is a bulk volume factor, not a second 137). Electron dual \(\Rightarrow m_{\mathrm{dyn}}\) is **N/A** until O-H-pack (new H principle). | \(T(2,3)=\) proton theorem; lattice barcode for the full SM; paste electron dual onto hadrons; hunting “why 306” as if it were \(\alpha\) |

**Hold sentence (allowed):**

> Single-seat continuum hold remains open. It is the one-seat packaging book. Two-seat laboratory electrodynamics is a different book (Darwin / boosted Coulomb) and does not close it.

**Visibility sentence (allowed):**

> Bright/dark is a 3D-manifestation / multi-body book. Do not expect a knot invariant to select Hopf vs Free or seen vs dark. That is the same category error as deriving \(\alpha\) from Willmore. Do not merge this into B-ALPHA.

**Units sentence (allowed):**

> Do not hunt a geometric farad-per-metre, a geometric \(c\), or a geometric \(\hbar\) separate from \(a\). Those are unit clothing of B-ALPHA and B-ME.

---

## 3. Genuine frontiers (right book — keep “open”)

**Seven** physics frontiers (F1–F7). Shareable note: `a_geom_open_frontiers_note.md`. Paper I submit is **process**, not an eighth chip.

| # | Frontier | After bound |
|---|----------|-------------|
| **F1** | One-seat hold | B-HOLD |
| **F2** | Hard join | B-JOIN |
| **F3** | Visibility multi-body / sum-class | B-VIS (not G1-as-arithmetic; not \(\alpha\)) |
| **F4** | Spin growth-rate / moment-arm | B-SPINJ (not 0.744 shopping) |
| **F5** | Foot \(\delta\) and \(K/L\) first principles | S⁷; Route E ratios are a different track |
| **F6** | FL-HEAVY **native** membership | not \(e_i\) |
| **F7** | Smash-fragment census, if asked | other seats, not on-shell quarks |  

---

## 4. Gates

| ID | Gate | Verdict |
|----|------|---------|
| **E0** | Four kinds named | **PASS** |
| **E1** | Hold bound as one-seat vs two-seat | **PASS** |
| **E2** | α / \(m_e\) as INPUT / access, not hold-class homework | **PASS** |
| **E3** | No chip flip (hold stays **[O]**; α stays INPUT) | **PASS** |
| **E4** | No promote / no “cannot cover gravity” blanket | **PASS** |
| **E5** | B-VIS…B-HAD named; G1 not merged with \(\alpha\); units not a third mint | **PASS** |
| **E6** | Two leftovers boxed (\(\alpha\), one length); Route A not a mint | **PASS** |

**Exit:** `PASS_EXPECTATION_BOUNDS`

---

## 5. Do not

- Flip the hold chip, or sell this freeze as a hold close.  
- Treat α / local \(m_e\) as the same open as hold.  
- Collapse two-seat Darwin onto one-seat Weber.  
- Merge G1 visibility into B-ALPHA, or treat knot arithmetic as a visibility mint.  
- Hunt geometric \(c\), \(\hbar\), or \(\varepsilon_0\) as extra downstairs constants.  
- Treat \(0.744\) as a geometric constant, or \((p,q)\) as \(J\).  
- Run confinement-as-topology as a second homework beside B-HOLD.  
- Mint \(G_F\) / unique \(\theta_W\), or \(T(2,3)=\) proton / electron-dual-as-hadron.  
- Promote. Paper I submit remains first.

---

## 6. One-line for agents

> **Two leftovers downstairs (\(\alpha\) and a length); name the book; hold is one-seat; visibility ≠ α; chips unflipped; no promote.**
>
> **Looked into (3 Sep):** B-HOLD still unpaid as a *force*; geodesic shape if contained is not that book (`a_geom_photon_confinement_forces_honesty_consideration.md`).