# Kill — L3 pair / 2-seat retardation does not derive the formation floor

### Low-\(a\) Sciama in a leftover container accounts for the RAR *end* only if a floor is **assumed** · 2-seat delay does not mint \(1/\max(r_{12},L_a)\) · 1-body Born size is the wrong analog · no further 2-seat-retardation mill

**CPT Framework — FT-L3 / FT-L3H / FT-L6 / FT-SUM**  
**Date:** 2026-09-22  
**Status:** **KILLED as derivation** · `PASS_FT_L3_PAIR_KILL` · kind of the floor **not** retired  
**Stimulus:** User — floor not derived from 2-seat retardation; L3-pair kill page, then park freeze, unless another route  
**Parents:** FT-L3 · FT-L3H · FT-L6 · FT-LGE · `a_geom_ft_rotation_proof_strategy_consideration.md`

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

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## 0. One-line

> **The pair does not save L3.** Weber/Sciama is two-seat: leftover is the second seat, there is no self-force. Linear 2-body retardation of constant \(a\) is exact non-relativistically and yields \(E_{\mathrm{ind}}=(G/c^2)I\mathbf{a}\) with the **same** \(I=\int\rho/r\,\mathrm{d}V\) (FT-L6). The Jackson rest-frame split still has Coulomb dominating for \(r_{12}\ll L_a\) (wrong end). The 1-body Coulomb ball of radius \(L_a\) is Maxwell/Born, forbidden as Book C (FT-L3H). Inserting \(1/\max(r_{12},L_a)\) accounts for the RAR end in a leftover container (FT-SCINT / L6 proxy) and is **not derived** from 2-seat retardation. No other licensed delay mill inverts that. Floor remains an assumption. Kind stands. Derivation killed.

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## 1. What was tried

| Route | Result | End |
|-------|--------|-----|
| LW \(\lvert E_{\mathrm{rad}}\rvert/\lvert E_{\mathrm{Coul}}\rvert=r/L_a\) at \(\beta=0\) | Coulomb **inside** \(L_a\) | **wrong** |
| Linear \(v(t-r/c)=at-ar/c\), constant \(a\) | extra \(\propto M\mathbf{a}/c^3\) drops from \(E_{\mathrm{ind}}\) | **not a floor** |
| Domain cut \(r>L_a\) | \(I=0\) when \(L_a>R\) | **wrong** |
| 1-body ball of size \(L_a\) | right IR, but **1-seat** Maxwell | **demoted** |
| 2-seat + same delay | still no \(\max(r_{12},L_a)\) | **this kill** |

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## 2. Why 2-seat does not invert it

Two seats remove *self-force*, not the Coulomb piece of the *mutual* retarded field. For a pair with relative acceleration \(a\), the rest-frame split is still Coulomb at \(r_{12}\ll c^2/a\). Constant \(a\) makes \(v_{\mathrm{ret}}\) linear, so the delay is not a series that can be resummed into \(\max(r_{12},L_a)\). Higher time derivatives vanish. Relativistic one-body Born is the analog already scored as not Book C.

**Finding K1 [E algebra].** 2-seat retardation \(\Rightarrow\) mutual \(I=\int\rho/r\), not the floor.

**Finding K2 [E honesty].** Other objects (VSH/Killing current, leftover Hopf, Hodge 1-forms) change **who** is sourced, not the \(1/r\) kernel. Analytic \(W(E)\) and cavity \(\mathrm{Re}\,G\) are closed (wrong end or freeze). Unruh/\(a/c\) is the clock, not the kernel.

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## 3. What is *not* killed

| Object | Status |
|--------|--------|
| RAR *end* if a floor is **assumed** | **KIND** (L0 + L6 proxy + L4 support) |
| \(L_a=c^2/a\) as pair coherence *scale* | **KIND** (clock) |
| Leftover filled container | **L4** (unnamed, not FLRW) |
| Radcliffe / EFE: lemma does not fire at \(\lvert a\rvert\simeq a_R\) | **CAT-EVID** |
| Circular SPARC as proof | still **FORBIDDEN** |

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## 4. Integrity

| Gate | Verdict |
|------|---------|
| L3 **derivation** from 2-seat retardation | **KILL** |
| Floor as assumption for RAR *kind* | **not retired** |
| Another delay mill licensed | **NO** |
| Chip / SPARC / \(2\pi\) / name \(R\) | **NO** |

**Exit:** `PASS_FT_L3_PAIR_KILL`

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## 5. One-line for agents

> **§FT-L3-PAIR-KILL: 2-seat delay does not mint \(1/\max(r_{12},L_a)\); 1-body size is Maxwell; floor stays assumed; RAR end remains kind; no further L3 retardation mill.**