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]
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.
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 |
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.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 |
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
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.