Research Documents

WILL Part I: Relational Geometry

Core foundational paper unfolding ontology from epistemology. Deriving Special and General relativities main results and predictions with falsifiable higher order divergence, no singularities, breaking \(M \sin(i)\) degeneracy. Philosophy of science. Philosophy of physics. Ontology and epistemology. Foundations of physics. Theoretical physics. Computational physics.

Ongoing research started in June 2024

R.O.M. — Relational Orbital Mechanics

Closed algebraic system for bound gravitational systems. Recovering all major orbital phenomena within pure relational ontology. No differential equations required. Mercury’s precession, S2 star (Sgr A*), L1 equilibrium point, relational gravitational waves, LAGEOS I Lense-Thirring. Foundations of physics. Theoretical physics. Computational physics. Orbital mechanics. Astrophysics.

Holographic Decoder

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

WILL Part II: Relational Cosmology

Application of Relational Geometry to galactic dynamics and cosmology across 40 orders of magnitude. Replaces dark sector with transparent geometric ontology. Derivation of Hubble parameter from CMB temperature and fine structure constant \( \alpha \), wide binaries acceleration, dark matter, dark energy. Theoretical physics. Computational physics. Cosmology. Galactic rotations. Astrophysics. Foundations of physics.

Ongoing research started in September 2025

WILL Part III: Relational Quantum Mechanics

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

Ongoing research started in October 2025