Hydrodynamic Quantum Cosmology as a Phase-Locking Bridge Between Quantum Mechanics and General Relativity

This paper states a candidate unification framework for quantum mechanics and general

relativity within Hydrodynamic Quantum Cosmology (HQC). The central proposal is that

both quantum dynamics and spacetime geometry arise from one microscopic information

substrate. The quantum sector is identified with the unresolved phase dynamics of a

Hopf spinor or phase-frame field, while the gravitational sector is identified with a locked

Hopf/Plebanski phase sector whose low-energy order parameter is a tetrad. The proposed

bridge is therefore not a direct quantisation of a pre-existing metric, nor a classicalisation

of a pre-existing wavefunction. Instead, both the wavefunction and the metric are treated

as different infrared projections of the same substrate phase field. The paper presents

the minimal substrate action, the phase-to-path-integral route, the Hopf connection, the

Plebanski locking term, the emergence of the Einstein-Hilbert coefficient as a response

functional, and the remaining closure tests required before the framework can be claimed as

a completed physical unification. The main result is a precise mathematical programme: if

the same regulated boundary operator produces the quantum measure, the tetrad locking

coefficient, the observed effective Newton constant, matter spectra, gauge charges, and

dark-sector residuals without inserted observational targets, then HQC becomes a genuine

QM–GR bridge. At present it is a coherent internal architecture with several nontrivial

derived structures, but the external claim that nature realizes the substrate remains open.