Scale-Invariant Quantum Hydrodynamic Unification (SIQHU)

Scale-Invariant Quantum Hydrodynamic Unification (SIQHU)Author/Creator: Brian Sherman Last

SIQHU (Scale-Invariant Quantum Hydrodynamic Unification) is a comprehensive theoretical and computational framework that reimagines the vacuum as a dynamic, compressible superfluid. Within this paradigm, fundamental particles and interactions emerge as collective excitations of an underlying continuous substrate. The framework integrates quantum hydrodynamics, nonlinear Hamiltonian field theory, and a multi-scale effective approach, connecting microscopic wave dynamics with large-scale statistical behavior. Across different scales, the system shows robust, self-similar structures and emergent turbulence, offering a new avenue to explore a unified description of quantum and gravitational phenomena. The SIQHU model is rigorously tested through multi-scale numerical simulations, ensuring its stability, scale-invariance, and capacity to generate falsifiable predictions. As a result, SIQHU stands as a promising candidate for a Grand Unified Theory, subject to further empirical validation and experimental testing.