Authors: Carmen N. Wrede, Lino P. Casu AI Assistants: Bingsi, Akira Status: Canonical Reference — Single Source of Truth Last Updated: 2026-03-16

Segmented Spacetime (SSZ) is a falsifiable extension of General Relativity (GR) built around a single additional quantity: a dimensionless segment density field Ξ(r). SSZ reproduces GR exactly in weak fields while producing systematic, testable deviations in strong fields — especially around neutron stars and compact objects.

Core equation:

D_SSZ(r) = 1 / (1 + Ξ(r))

At the Schwarzschild radius: D(r_s) = 0.555 (finite!) vs GR: D(r_s) = 0 (singularity).

• ssz_overview.md — What is SSZ, executive summary
• core_postulates.md — The 5 core postulates
• relation_to_gr.md — How SSZ relates to GR
• authors.md — Carmen N. Wrede, Lino P. Casu

• segment_density.md — Xi(r): weak, strong, blend formulas
• time_dilation.md — D(r) = 1/(1+Xi)
• scaling_factor.md — s(r) = 1+Xi = 1/D ← NEW
• regime_definitions.md — 5 regimes, transition radii
• phi_geometry.md — Golden ratio in SSZ
• phi_lattice_discretization.md — φ-lattice x_k=φ^k, bracket theorem, QNM connection ← NEW
• intersection_invariance.md — r*/r_s = 1.387, mass-independent ← NEW
• coherence_collapse.md — g1→g2 irreversible transition ← NEW
• energy_conditions.md — WEC/DEC/SEC/NEC in SSZ, SEC violation ← NEW
• emergent_axes.md — Emergent coordinate axes
• euler_derivation.md — Euler identity connection
• fine_structure.md — alpha = 1/137 derivation
• structural_constants.md — phi, alpha_SSZ, r*/r_s
• temporal_growth.md — Temporal growth rate

• formula_compendium.md — Complete formula list with origin + domain
• quick_reference.md — Top-10 formulas on one page
• symbol_table.md — All symbols defined
• ppn_formulas.md — PPN gamma=1, lensing, Shapiro — CRITICAL ← NEW
• worked_examples.md — Cassini, Mercury, GPS, NS calculations ← NEW
• unit_conversion_table.md — SI/CGS/Natural units ← NEW
• special_values.md — Xi(r_s)=0.8017, D(r_s)=0.555, r*/r_s, phi-table ← NEW
• phi_beta_calibration.md — Calibration curves
• forbidden_formulas.md — Deprecated/wrong formulas to avoid

• dual_velocities.md — v_coord vs v_physical
• lorentz_v0.md — Lorentz factor at v=0
• kinematic_closure.md — Kinematic closure condition
• frame_dragging.md — Lense-Thirring, Gravity Probe B
• geodesics.md — Geodesic equations, radial free-fall ← NEW
• orbital_mechanics.md — ISCO, photon sphere, effective potential ← NEW

• radial_scaling.md — Radial scaling gauge for Maxwell fields
• group_velocity.md — Group velocity in segment lattice
• light_travel_time.md — Additive travel time correction
• maxwell_rotating.md — Maxwell equations in rotating SSZ
• redshift.md — Gravitational redshift z = Delta_Xi
• energy_em_field.md — EM energy in segment lattice, u = s^2*u_flat ← NEW
• shapiro_delay.md — Shapiro delay, PPN factor, Cassini ← NEW
• gravitational_lensing.md — Lensing alpha=2r_s/b, Eddington, VLBI ← NEW

• black_hole_metric.md — SSZ Schwarzschild metric
• singularities.md — Singularity resolution, D(r_s)=0.555
• dark_star.md — Dark star (no true horizon)
• cosmic_censorship.md — SSZ version of cosmic censorship
• infalling_matter.md — Infalling matter, no freezing
• superradiance.md — Wave amplification in ergosphere
• rotating_black_holes.md — Kerr-SSZ, ergosphere, frame dragging ← NEW
• qnm_spectrum.md — QNM: f_SSZ/f_GR = 1.39, phi-lattice connection ← NEW
• isco_comparison.md — ISCO: SSZ r_ISCO = 2.95 r_s vs GR 3 r_s ← NEW
• penrose_process.md — Penrose efficiency: SSZ 21.4% vs GR 20.71% ← NEW
• lagrangian_mechanics.md — Effective Lagrangian, Euler-Lagrange, orbit equations ← NEW

• test_methodology.md — Test framework, 260+ tests
• consistency_checks.md — 171/171 consistency checks
• gr_vs_ssz_tables.md — Side-by-side comparison tables
• curvature_detection.md — Frequency curvature observables
• nebulae_validation.md — G79.29+0.46 LBV nebula (Cygnus X-1)
• gps_validation.md — GPS: +38.45 µs/day confirmed ← NEW
• cassini_test.md — Cassini: gamma=1.000021±0.000023 ← NEW
• mercury_precession.md — Mercury: 42.98"/century confirmed ← NEW
• neutron_star_redshift.md — NS: z_SSZ=0.173 vs z_GR=0.236 ← NEW
• power_law_universal.md — E/E_rest = 1+0.32*(r_s/R)^0.98, R²=0.997 ← NEW

• falsification_criteria.md — When SSZ is falsified
• predictions.md — Quantitative predictions
• instruments.md — EHT, NICER, ET, LISA, Athena
• known_limitations.md — Known limitations and open questions

• paper_index.md — All 25 papers with abstracts
• bibliography.md — References
• preprints.md — Preprint status

• repo_index.md — All repositories
• test_file_index.md — All test files
• reproducibility.md — How to reproduce results

• prime_directive.md — Observable → Class → Method → Scope
• method_assignment.md — Which method for which observable
• confusion_prevention.md — Common errors and how to avoid them
• cross_repo_rules.md — Cross-repository consistency rules

• glossary_en.md — English terminology
• glossary_de.md — German terminology

• holonomy_invariants.md — I_ABC=1, LISA connection, topological invariance ← NEW
• frequency_curvature.md — d²D/dr² = 4× GR, 3-clock measurement ← NEW
• future_experimental_prospects.md — Timeline 2024–2038: EHT, eXTP, ET, LISA, Athena ← NEW

1. New to SSZ? → Start with 01_OVERVIEW/ssz_overview.md
2. Need formulas? → Go to 03_FORMULAS/formula_compendium.md
3. Quick card → See 03_FORMULAS/quick_reference.md
4. Method selection → Read 11_GUARDRAILS/prime_directive.md
5. Validation data → Check 07_VALIDATION/gr_vs_ssz_tables.md
6. φ-Lattice → See 02_FOUNDATIONS/phi_lattice_discretization.md
7. Experimental timeline → See 13_FREQUENCY_FRAMEWORK/future_experimental_prospects.md

Observable → Class → Method → Scope → Then calculate.

This project is licensed under the Anti-Capitalist Software License v1.4.

See LICENSE.md for the full license text.

@misc{wrede2026sszdocs,
  title={Segmented Spacetime (SSZ) -- Complete Documentation},
  author={Wrede, Carmen N. and Casu, Lino P.},
  year={2026},
  note={Available at https://github.com/error-wtf/ssz-complete-documentation}
}

© 2025–2026 Carmen N. Wrede, Lino P. Casu