Bibliography and Primary Sources

Sources for geometry, proofs, and computations

Different source classes answer different questions. Lecture notes and reviews can orient a reader across conventions or a field, while an original construction or proof carries only the result established at its exact locator. A formulation paper defines variables and evolution equations, but does not automatically establish well-posedness or numerical robustness. A benchmark paper specifies a controlled comparison that can reveal defects; passing it is not validation for every physical regime. Reproducibility and packaging standards describe how to preserve inputs, transformations, outputs, and provenance, not whether a gravitational model is correct.

The five available maps divide the work by scientific question. The Geometry and Einstein Gravity Source Map covers measurement, Lorentzian geometry, the field equation, variational and initial-value formulations, and controlled weak-field limits. The Exact Spacetimes, Black Holes, and Causality Source Map distinguishes exact constructions, causal completions, horizon classes, singularity and area theorems, mechanics, and bounded uniqueness results. The Mathematical and Computational Relativity Source Map joins rigorous evolution and stability results to numerical formulations, benchmarks, and evidence practices without merging their roles. The Radiation, Observation, and Black-Hole Astrophysics Source Map follows radiation from asymptotic definitions and binary models through extraction, calibrated detector data, inference, and astrophysical forward models. The Quantum Fields, Semiclassical Gravity, and Quantum Black Holes Source Map keeps fixed-background fields, semiclassical response, controlled evaporation models, generalized entropy, information arguments, holography, and low-energy quantum gravity within their stated frameworks.

Every entry starts from a concrete question, identifies the source class and exact supporting location, states the conclusion that location can carry, and names a nearby conclusion it cannot carry. Use these maps as reading guides: decide whether the claim needs an orientation source, an original construction, a theorem, a continuum formulation, a code test, or a data-preservation method, then read the locator together with its hypotheses and exclusions. This approach prevents a famous citation from standing in for the particular evidence a claim requires.