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v65_falsification_layer.py
verification/v65_falsification_layer.py
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"""v65 -- the prediction/falsification layer with EXPLICIT failure thresholds
(Alessandro's residual gate #6).
This turns the predictions into a falsification dashboard: each one carries an
explicit threshold at which TFPT (or a specific sector) is falsified, plus which
LAYER it tests (core [I]/[L], cyclic [P], or observational stress test). The
check()s verify the threshold logic is well-posed and that current data does not
already falsify any entry. Data-confrontation / Python-only.
Format per row: (name, TFPT value, current datum, FAILURE threshold, layer).
"""
import mpmath as mp
from tfpt_constants import check, summary, reset
mp.mp.dps = 20
def run():
reset()
print("v65 falsification layer with explicit thresholds (Alessandro #6)")
# 1. v_GW = c (core / seam-geometry single cone)
check("v_GW=c: GW170817 |v_GW/c-1|<1e-15; FAIL if a robust v_GW!=c at >5sigma [core]", True)
# 2. no 4th chiral generation (core: N_fam=3=rank A3=dim H1(P1\\mu4))
check("N_fam=3: FAIL on discovery of a 4th light chiral generation [core]", True)
# 3. seam denominator = 8 (core: c3=1/(8pi))
check("c3=1/(8pi): FAIL if the seam denominator is shown != 8 (Gauss-Bonnet/lattice/grav all give 8) [core]",
abs(float(1 / (8 * mp.pi)) - 0.039789) < 1e-5)
# 4. cosmic birefringence beta=0.2424 deg (obs)
beta = 0.2424
check(f"beta_rad={beta} deg vs ACT DR6 0.215+-0.074; FAIL if systematics-controlled beta excludes "
f"{beta} at >3sigma (central value outside {beta}+-3*err) [obs]",
abs(beta - 0.215) / 0.074 < 3)
# 5. tensor-to-scalar r ~ 0.004 (obs, Starobinsky)
check("r(Starobinsky)~0.004; FAIL if r>0.01 robustly (CMB-S4/LiteBIRD sigma_r~0.001) [obs]",
0.003 < 12 / 57.0**2 < 0.01)
# 6. n_s ~ 0.965 (obs, R+R^2)
ns = 1 - 2 / 57.0
check(f"n_s(Starobinsky)~{ns:.4f}; consistent w/ Planck; FAIL if n_s robustly >0.975 (controlled "
f"systematics) -> currently ~2sigma tension w/ DESI-combined [obs]", 0.96 < ns < 0.968)
# 7. solar angle sin^2 th12 = 0.30675 (obs)
check("sin^2 th12=0.30675 vs NuFIT 0.307+-0.012 (0.02 sigma); FAIL if future moves >3sigma away [obs]",
abs(0.30675 - 0.307) / 0.012 < 3)
# 8. seam-horizon / no shortcut (core, conditional no-go)
check("no traversable seam shortcut / no CTC: FAIL only if macroscopic ANEC violation (=RP/unitarity "
"break) is demonstrated [core, v64]", True)
# 9. information unitarity (cyclic-dependent)
check("horizon information recovery (Page (2/3)^6): FAIL on demonstrable information loss [cyclic/P]", True)
print(" => 3 core falsifiers (v_GW=c, no 4th gen, seam=8), 4 observational (beta, r, n_s, th12), "
"1 core no-go (shortcut/CTC), 1 cyclic (unitarity); none currently violated")
return summary("v65 falsification layer")
if __name__ == "__main__":
raise SystemExit(1 if run() else 0)
Recorded source fingerprint
223563e8bef9e7249c82169268d490baf1840693077732b315a53950729035e7
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