Research Documents

The complete WILL Relational Geometry research in three parts. All results derive from the foundational methodological principles Epistemic Hygiene, Ontological Minimalism and Relational Origin.

Part I: Relational Geometry

WILL Part I: Relational Geometry

Core foundational paper. Derives SR & GR as special cases of relational geometry from first principles.

R.O.M. — Relational Orbital Mechanics

Closed algebraic system for bound gravitational systems. Recovering all major orbital phenomena. No differential equations or acceleration term required.

Holographic Decoder

Breaks the \(M \sin i\) degeneracy in radial velocity data using relational invariants.

Part II: Relational Cosmology

WILL Part II: Relational Cosmology

Application of Relational Geometry to galactic dynamics and cosmology across 20 orders of magnitude. Replaces dark sector with transparent geometric ontology.

In active development

Part III: Relational Quantum Mechanics

WILL Part III: Relational Quantum Mechanics

Derivation of quantum structure (hydrogen atom, fine structure, spin) from closure on the relational carriers.

In active development


Reproducible Notebooks

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Testable Predictions

Quantitative, falsifiable predictions

Galactic Dynamics

SPARC dataset interactive lab

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