Унифицированная теория сжимаемой среды (UCM-T): основы и калибровочный конвейер

Description (English, for Zenodo):

This work presents a phenomenological formulation of the Unified Compressible-Medium Theory (UCM-T), in which fields, effective geometry and quantum-like objects are described as different regimes of excitations in a single compressible medium. The medium is characterized by a finite response speed c0c_0c0, a characteristic density grain scale LρL_{\rho}Lρ, a circulation (stability) quantum κ\kappaκ, and dissipative parameters. On this basis, a minimal set of continuum equations is written in Eulerian and Lagrangian form.

It is shown that, for different values of dimensionless parameter combinations, the same system of equations supports at least three phenomenological regimes: a linear wave regime (electrodynamics-like behaviour), a hydrostatic regime (gravity-like behaviour) and a coherent regime (quantum-like limit). For small perturbations on a non-uniform background, an effective acoustic metric emerges, linking UCM-T to analogue and emergent gravity programmes.

A central part of the work is the construction of a calibration pipeline: a sequence of observational “clusters” (laboratory wave experiments, quantum-coherent systems, gravitational and astrophysical transients, cosmology and large-scale structure) used to constrain the same set of medium parameters. This naturally leads to a falsification map in the parameter space Θ\ThetaΘ: if the intersection of allowed regions from different clusters is empty, the corresponding realization of UCM-T is ruled out.

The full text of this version (v2) is in Russian.

Keywords

• unified field models

• compressible medium

• emergent gravity

• analogue gravity

• acoustic metric

• gravitational waves

• quantum coherence

• continuum mechanics

• falsification map

• calibration pipeline