The Ontology of Quantum Mechanics: Coherent Free-State Propagation and Constraint Formation

What is quantum mechanics? For over a century, its formalism has been extraordinarily successful, yet its ontological foundations remain contested. Energy-Efficiency Theory (EET) provides a first-principles answer: quantum mechanics is not an independent set of physical laws, but the theory of free-state energy propagation at the optimal balance point = 1 of the constraint network. This paper develops the complete ontology of quantum mechanics from the generative foundations of EET Core Rules v5. 2. At L1, quantum phenomena are defined by four essential features: 1. Quantum State: The wavefunction ψ is the L2 mapping of free-state energy distribution, with ρf = |ψ| 2. Superposition reflects the superposability of free state energy. 2. Quantum Evolution: At η = 1, free-state propagation on the constraint network reduces to unitary Schrödinger evolution. The constant ℏ is the empirical calibration of the minimal action quantum AEET = ℏ/2. 3. Quantum Measurement: A measurement is a constraint formation event—the injection of response energy triggers the local conversion of free-state energy into a constrained-state particle. The measurement time is τmeas ∼ ℏ/Eb form, consistent with the energy-time uncertainty. The Born rule p = |ψ| 2 follows from the proportionality of formation probability to local free-state energy density, understood as a “race to threshold” among possible measurement sites. 4. Quantum Entanglement: Entanglement is a non-local Type I edge in the constraint network—a “quantum scar” connecting distant nodes. Bell inequal ity violation reflects the network’s non-local topology, and entanglement entropy measures the weight of these non-local edges. We further establish the EET foundations of quantum statistics (bosons as Type II edge excitations—the ``social'' particles that can share edges; fermions as Type I constraint nodes—the ``exclusive'' particles that occupy unique nodes; anyons as topological variants), the density matrix and Lindblad equation for decoherence (where density matrix encodes partial knowledge of the constraint network ensemble), the path integral as summation over constraint network topologies, quantum field theory as Type II edge dynamics, quantum tunneling as virtual constraint propagation (``borrowing'' transient constrained-states), and vacuum zero-point energy as the ``ground-state breath'' of the critical constraint network. The quantum-classical transition is a continuous crossover: as deviates from 1, decoherence transforms unitary evolution into classical stochastic dynamics. Quantum Darwinism finds a natural EET interpretation: pointer states are constraint configurations with the highest meltdown barrier Eb^melt, selected by environmental monitoring—a ``survival of the most stable'' among constraints. We establish complete interfaces to all companion ontologies—Two Forms of Energy, Particle, Field, Interaction, Phase Transition, Statistical Mechanics, Information, Observer, Contradiction, Ben-Shi, and Complexity—and provide canonical mathematical realizations. Nine falsifiable predictions with explicit experimental designs anchor the framework in empirical testability. Quantum mechanics is the breath of the constraint network at its most balanced. It is not a separate realm but the coherent limit of the universal dynamics of energy under constraint. Keywords: Quantum mechanics; wavefunction; measurement problem; entanglement; quantum statistics; decoherence; quantum field theory; constraint network; Energy-Efficiency Theory