Simulation
Geodesic Completeness
PASS — C1_no_singularity
What this does prove
Radial geodesics reach the core (r=0) in finite proper time without encountering a curvature singularity — checked by direct numerical integration of the geodesic equation.
What this does not prove
Completeness of all geodesics (only radial ones were checked), or that the core itself is physically meaningful rather than a mathematical artifact of the chosen metric ansatz.
Claim C1_no_singularity — from No-Singularity Gravity Ch. 3 Regular Interior Geometry, Ch. 3.4 Geodesic Completeness
Curvature invariants remain finite at r=0 and geodesics are complete.
Measured
M=1, g_test=0.1, kretschmann_at_core=95999999.99999997, kretschmann_finite_at_core=True, geodesically_complete=True, proper_time_to_core=15.056799999978248, isco_schwarzschild=5.999999999999654, isco_shift_fitted_exponent=3.0002398340715137, isco_shift_scaling_exponent_ok=true, photon_sphere_schwarzschild=3, shadow_correction_fitted_exponent=3.0003141617052433, shadow_correction_scaling_exponent_ok=true, eht_fractional_bound_assumed=0.12, g_bound_from_shadow=0.49324241486609405, effective_spin_check={"implemented":false,"reason":"requires 2D backward ray-tracing of near-critical trajectories; the 1D photon-sphere-radius shift is a different (and already cubically-scaling) quantity, not a faithful proxy for this claim"}, weak_field={"deflection_measured":0.008047467870435643,"deflection_gr_prediction":0.008,"deflection_rel_error":0.005933483804455332,"deflection_matches_gr":true,"precession_measured":0.011814692820301786,"precession_gr_prediction":0.009817477042468103,"precession_rel_error":0.2034347286165474,"precession_matches_gr_order_of_magnitude":true}, weak_field_recovery_ok=true
Expected
kretschmann_finite_at_core=true, geodesically_complete=true
Source:
theory_lab/group_c_structural_stability/no_singularity_gravity.py in UNIFIED_THEORY_LAB. See how to run this yourself.