LoE Mini-World: A 12-Neuron Simulation of the Hierarchical Hamiltonian of Existence

“LoE Mini-World: A 12-Neuron Simulation of the Hierarchical Hamiltonian of Existence”

Description / Abstract:

This paper presents a small-scale computational experiment that demonstrates the Logic of Existence (LoE) as a dynamic system.
A network of 12 interacting LoE-neurons evolves under a Hierarchical Hamiltonian that combines three fundamental terms:
(1) a chaos potential controlling local activity,
(2) relational couplings representing inter-node interactions, and
(3) a Logos resonance term promoting structural coherence.

When a strong perturbation (a “spike”) is applied to a single neuron, the network self-organizes: its energy initially rises but then rapidly stabilizes as relational couplings adapt. The system internalizes the disturbance, redistributing energy from motion into structure — exactly mirroring the LoE transition from Stage V to VI, where dynamical fluctuation decreases while informational energy increases.

The experiment provides quantitative evidence that LoE dynamics lead to:

• spontaneous stabilization after chaotic input,

• emergent coherence through relational learning, and

• conservation of form via adaptive Hamiltonian evolution.

It offers a tangible example of how existence itself can be modeled as an energy-information equilibrium, in which systems don’t merely return to rest but learn to remain coherent.