The Monohamiltonian Universe: A Single Relational Generator of All Physical Reality

This article presents the central unifying claim of the Logic of Existence (LoE):
the entire Universe can be described by one Hamiltonian—structured as
a self-similar relational pyramid—whose local “faces” appear to observers
as classical, quantum, and gravitational physics. All physical laws emerge
as local projections of the same global relational generator; space and time are
not primitive but relational derivatives; and the speed of light c is not a universal
constant of ontology, but a local condition of existence derived from the structure
of the Hamiltonian itself.
We formalize how a single Hamiltonian can “run” the entire Universe, from sub-
atomic processes to cosmic evolution, in full consistency with Relational Differential
Geometry (RDG), General Relativity (GR), and Quantum Mechanics (QM). The
Logic of Existence (LoE) is treated here as a relational ontology and a generative
meta-framework rather than a replacement of existing theories.
License and Authorship Statement
License: Creative Commons BY-NC-ND 4.0
This work is licensed under the Creative Commons Attribution–NonCommercial–
NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).