Papers • General Relativity • Multi-Body Curvature

Atlas Solver Hub is a public research hub centered on papers, drafts, and supporting materials in weak-field general relativity, multi-body gravitational systems, curvature structure, and spacetime simulation.

The primary purpose of this site is to present the written research of the Atlas program. Solver architecture, experiments, figures, and background pages are included as supporting infrastructure for the papers and their development.

Paper I - Gravitational Coherence Surface

The Gravitational Coherence Surface: Signal-to-Noise Limits on Gravitational Identity

Introduces the Gravitational Coherence Surface as an operational boundary of gravitational distinguishability within standard general relativity.

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Paper II - Shared Parity Networks

Shared Parity Networks within a Datum-Centered Curvature Witness Engine

Extends the GCS framework into many-body settings and positions Atlas as a datum-centered curvature witness engine.

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Paper III - Mesoscale Residues

Mesoscale Residues and the Derived Geometry of Multipole Tidal Composition

Explores the derived geometric artifacts of multi-source weak-field curvature and the mesoscale residue layer Atlas is designed to test.

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Paper IV - Boundary Geometry Extraction

Proof-of-Concept Results for Many-Source Weak-Field General Relativity

Demonstrates the extraction of boundary geometry from the Gravitational Coherence Surface (GCS) and presents proof-of-concept simulation results for multi-source systems.

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Research Program

Atlas Solver is an independent research program focused on geometric methods in general relativity, weak-field curvature structure, and multi-body spacetime simulation. Its long-term aim is to build a simulation framework that preserves curvature structure in multi-body systems without reducing those systems to simple monopole approximations.

Current focus areas:

Research Sections