Dilatant Dark Fluid: Toward a Unified Quantum-Hydrodynamic Origin of Lorentz Invariance, Gravity, and Cosmological Phenomenology
Abstract
This work introduces the dilatant dark fluid (DDF), a pervasive cosmic cold dark medium comprising two coupled ultralight bosonic sectors: a superfluid \( \phi \) and a heavier dispersed phase \( \varphi \) undergoing stress-induced shear jamming, distinguishing the framework from earlier superfluid-vacuum models. The DDF's velocity-dependent dilatant response drives the local \( \varphi \) sector toward a saturated jammed state that supports the propagation at \( c \) of coupled transverse phonons identified with photons, while remaining asymptotically inaccessible to massive bodies. This constitutive response generates a jamming factor identical to the Lorentz factor, recovering Lorentz-form kinetic energy, clock rate, and length relations, alongside interferometric and resonator nulls. By governing both matter dynamics and operational measurement standards, the DDF provides a quantum-hydrodynamic material realization of geometric relativistic spacetime. The superfluid sector supports quantized vortices interpreted as particles; their circulation encodes spin and generates Bernoulli pressure gradients seeded near the core by the associated quantum potential, which upon many-vortex coarse-graining yield macroscopic gravitational acceleration. Painlevé-Gullstrand river coordinates geometrically encode this material dynamics in general-relativistic exterior solutions, recovering classical weak- and strong-field benchmarks, including leading Kerr-Lense-Thirring behavior. At…
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