s1312 — the vector-kinetic link, closed
  Q1_eight_conventions   {"signature −+++, ε⁰¹²³ +1, i-sign +1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature −+++, ε⁰¹²³ +1, i-sign -1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature −+++, ε⁰¹²³ -1, i-sign +1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature −+++, ε⁰¹²³ -1, i-sign -1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature +−−−, ε⁰¹²³ +1, i-sign +1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature +−−−, ε⁰¹²³ +1, i-sign -1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature +−−−, ε⁰¹²³ -1, i-sign +1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}, "signature +−−−, ε⁰¹²³ -1, i-sign -1": {"F̃·F̃ + F·F = 0": true, "∂L/∂b − F·F/4 = 0": true, "∂L/∂a − (i-sign)·F·F̃/4 = 0": true, "F·F − 2(B² − E²) = 0": true, "L is real": true}}
  Q2_positivity          {"coefficient of E₁² in the kinetic part": "-b/2", "positive iff b < 0": true}
  receipt   PASS fetch_record_dWST_0705_2101v2
  receipt   PASS s1297_results_force_balance
  receipt   PASS s1290_results_house_N_and_electric_frame
  computed  PASS Q1_in_all_eight_conventions_dWST_2_36_equals_one_quarter_Im_N_F_dot_F_plus_a_signed_theta_term_and_F_dot_F_is_2_B2_minus_E2
  computed  PASS Q2_positive_electric_energy_iff_Im_N_negative_and_then_the_term_is_minus_quarter_eps_F_dot_F_with_eps_minus_Im_N
  argument  ARG  link
  argument  ARG  scope
VERDICT: dWST (2.36) is −¼ε F·F with ε = −Im N (plus a convention-signed θ term) in all eight conventions, positive iff Im N < 0; with (2.5) and (4.4) the s1297 force balance is in the dWST action — its vector-kinetic CONDITIONAL is removed; the Einstein normalisation stays fixed by s1297 F1's SO(8) calibration.
RESULT_HASH feb99e501b232852
s1312: 2 computed, 3 receipt, 2 argument, 0 failed
