Morgan Petrik

A Cogenetic Proof of the Poincaré Conjecture

This release presents a process-first Cogenetic proof of the Poincaré theorem. The manuscript begins with the independently derived Cogenetic non-collapse relation and its reciprocal magnitude-resolution ledger, then contextualises that invariant in a closed connected three-manif...

Time as Measure, Not Ontology

Time is ordinarily treated as an independent parameter against which physical change is measured. This paper instead derives a parameter-free relational timer from a microscopic quantum channel that exhibits both irreversible transfer and coherent return. These behaviours arise a...

A Cogenetic Proof of Global Regularity for the Three-Dimensional Incompressible Navier–Stokes Equations

This manuscript presents a Cogenetic proof of global existence, smoothness, and uniqueness for the three-dimensional incompressible Navier-Stokes equations on R3 with positive viscosity and arbitrary smooth divergence-free rapidly decaying initial velocity. The proof identifies t...

A Cogenetic Proof of Global Regularity for the Three-Dimensional Incompressible Navier–Stokes Equations

This manuscript presents a Cogenetic proof of global existence, smoothness, and uniqueness for the three-dimensional incompressible Navier-Stokes equations on R3 with positive viscosity and arbitrary smooth divergence-free rapidly decaying initial velocity. The proof identifies t...

Cogenesis: Causal Singularity of Now

This document presents Cogenesis as both a universally relational ontology and a predictive physical theory. Relation entails environment: space is the unlimited relational availability within which distinction, expression, and persistence occur, while geometry, metric, dimension...