κ-Framework | Natural Mathematics & Environmental Curvature

Framework

A falsifiable curvature-response model for weak-field gravity.

Rotation curves, Solar System constraints, and numerical checks.

Notes, diagnostics, code, and unresolved questions in public.

Note / 21st April 2026

A walk-forward evaluation protocol for testing the progress-state gate against market regimes.

Note / 15th April 2026

Diagnostics for orientation, parity, and switching behaviour in quadratic atlas dynamics.

Note / 12th April 2026

A toy model exploring progress-state behaviour and boundary structure in natural mathematics.

Theory (pre-print) / 28th March 2026

The core κ-framework paper proposing an environmental curvature response in weak-field gravity.

Analysis (pre-print) / 12th March 2026

Solar System diagnostics testing whether the framework remains compatible with precision orbital data.

Analysis (pre-print) / 9th March 2026

Rotation-curve tests of the κ-framework against the SPARC galaxy dataset.

Can the response term be derived geometrically?

Where does the model fail against precision data?

Which observations would falsify the mechanism?