N26 — GW echo time ratio $_^-2
N26: GW echo time ratio $_^-2. Einstein Telescope, Cosmic Explorer, LISA.
Falsification Details
8.57$iota-tau-inv-2 approx 8.57. gravitational wave echoes!prediction pred:n26 Echo time doublet: $t_ = 4GM_^ 1/c^3$; ratio $t_+/t_- = _^-2$ (V.T185). Echoes arise from $T^2$ winding; $S^2$ produces no echoes.
Einstein Telescope, Cosmic Explorer, LISA
2032–2040.
Context
N26: Prediction
≈ 8.57$iota-tau-inv-2 approx 8.57.
Echo time doublet: $t_± = 4GMιτ^± 1/c^3$; ratio $t_+/t_- = ιτ^-2$ (V.T185). Echoes arise from $T^2$ winding; $S^2$ produces no echoes. Experiment: Einstein Telescope, Cosmic Explorer, LISA. Timeline: 2032–2040.
Derivation Context
The proton charge radius is set by the Compton wavelength of the proton, scaled by the $T^2$ fiber geometry:
The factor $4 = 2^(τ^3)-1 = 2^2$ counts the two independent charge-weighted $T^2$ winding directions ($2$ polarities $×$ $2$ lobes); the proton charge radius is the Compton wavelength times the number of charged pathways on $L$.
Comparison with the CREMA muonic hydrogen measurement:
This resolves the proton radius puzzle (pre-2019 CODATA value $0.8768\,fm$) by selecting the muonic hydrogen value as correct.