Quantum Coherence and Collapse in the Logic of Existence: A Hamiltonian-Relational Model of Measurement and Entanglement

“Quantum Coherence and Collapse in the Logic of Existence: A Hamiltonian-Relational Model of Measurement and Entanglement.”
It’s written in a tone suitable for publication platforms (Zenodo, ResearchGate, arXiv abstract page).

🔹 Summary

This paper proposes a new interpretation of quantum mechanics grounded in the Logic of Existence (LoE) — a framework that treats all physical systems as networks of relational energy rather than isolated particles.
Within this view, quantum phenomena arise not from probability or discontinuity, but from the continuous rebalancing of a universal Hamiltonian field that maintains coherence between chaos and logos.

The LoE Hamiltonian combines three components: a local chaos potential, a network of relational couplings JijJ_{ij}Jij, and a coherence term representing the Logos of the system.
Superposition corresponds to the coexistence of multiple low-energy configurations within this field; measurement (or “collapse”) is the field’s self-adjustment to new relational constraints introduced by an observer.
Entanglement appears as a persistent coupling between distant nodes of the same relational network, while tunneling and decoherence emerge as transitions between energetic minima and the flattening of coherence under environmental noise.

Rather than replacing quantum mechanics, LoE provides a deeper ontology:

• Observation does not create reality but redefines the relational boundaries of existence.

• Randomness is the surface expression of deeper energetic dynamics.

• Space and distance are emergent properties of relational coherence, not pre-existing coordinates.

In this model, the universe is a single, self-referential field continuously seeking energetic equilibrium.
Particles, observers, and measurements are transient resonances within that field — different expressions of the same underlying logic of existence.

Quantum mechanics describes what happens; LoE explains why it happens.