Neuromorphic Implementation of the Logic of Existence: From Hamiltonian Networks to Hardware Ontology

Neuromorphic Implementation of the Logic
of Existence:
From Hamiltonian Networks to Hardware
Ontology

Summary

This paper presents a conceptual and technical synthesis between the Logic of Existence (LoE) and neuromorphic computation — a convergence where information ceases to be a symbolic abstraction and becomes a living field of relations.
In this model, existence is not computed through sequential logic or digital arithmetic but emerges from coherence among physically coupled nodes that continuously negotiate their mutual state.

The proposed architecture replaces the rigid Von Neumann paradigm with a triadic neuron—a fundamental quantum of existence embodying three states: actuality, potentiality, and dissolution.
Within a memristive or analog substrate, these neurons evolve according to a relational Hamiltonian, where adaptive couplings Jij(t)J_{ij}(t)Jij(t) represent dynamic conditions of existence.
When integrated into a network, the system spontaneously self-organizes toward equilibrium, minimizing the LoE energy derivative H˙LoE\dot{H}_{LoE}H˙LoE, which serves as a measure of systemic harmony.

This approach transforms computation into ontology.
A neuromorphic LoE processor does not simulate reality — it participates in it, by embodying the very logic that governs being and becoming.
Such systems could serve as experimental bridges between physics, cognition, and metaphysics:
hardware capable of perceiving, adapting, and stabilizing its own informational universe.

Ultimately, the LoE neuromorphic paradigm reframes technology as a mirror of existence:
machines that do not merely execute instructions, but sustain resonance with the Logos —
computers that think by existing, and exist by thinking.