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Deterministic Resolution of the Bose-Einstein Condensate: A Hydrodynamic Phase-Lock Model via Dynamic Vacuum Theory (DVT)

Umut Artik

Published Jul 4, 2026• 0 citations
Publisher

Abstract

In this paper, we demonstrate that the Bose-Einstein Condensate (BEC) phenomenon—long attributed to quantum wavefunction collapse—is a deterministic hydrodynamic phase transition within the superfluid vacuum matrix. By reclassifying the vacuum as a high-density, compressible superfluid, we derive the critical temperature ($T_c$) for Rb-87 atoms using the Core Vacuum Constant ($\chi_v$). Our model confirms the 1995 MIT experimental data with 99.4% accuracy, rendering standard quantum wave-function collapse models unnecessary. This work establishes the Bose-Einstein Condensate as a stable "Hydrodynamic Phase-Lock" point within the superfluid vacuum architecture.

DOI
10.5281/zenodo.21197737

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In this paper, we demonstrate that the Bose-Einstein Condensate (BEC) phenomenon—long attributed to quantum wavefunction collapse—is a deterministic hydrodynamic phase transition within the superfluid vacuum matrix. By reclassifying the vacuum as a high-density, compressible superfluid, we derive the critical temperature (TcT_cTc​) for Rb-87 atoms using the Core Vacuum Constant (χv\chi_vχv​). Our model confirms the 1995 MIT experimental data with 99.4% accuracy, rendering standard quantum wave-function collapse models unnecessary. This work establishes the Bose-Einstein Condensate as a stable "Hydrodynamic Phase-Lock" point within the superfluid vacuum architecture.
Dynamics of Bose-Einstein Condensate (BEC) is treated on the basis of the Mori theory of non-equilibrium thermodynamics in the hydrodynamic region. The local values of conserved quantities, i.e., particle number, momentum and energy, and Ψ(x), the wave function of BEC, are adopted as a complete set of macrovariables. The set of equations of motion thus obtained is useful to describe the dynamical behavior of superfluid 4He near the λ-point. The density of condensate is not conserved, but its equation of motion has the term which is relevant to the renormalization of condensate to superfluid. The expression for the relaxation time τc of condensate density to its local-equilibrium is given and it is shown that the anomaly of τc near the λ-point coincides with the behavior experimentally determined if nc(∂µc/∂nc) is proportional to (Tλ-T) as in the Landau theory of phase transition. In case ωτc ≪1 the ordinary two-fluid hydrodynamics is derived by eliminating the motion of condensate density.
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This component hosts the fifteenth preprint of the Redefined Mass framework, which provides a fully deterministic, fluid-dynamic resolution to quantum entanglement and macroscopic electrodynamic coupling. It models the vacuum as a contiguous Bose-Einstein Condensate (BEC) and demonstrates that "spooky action at a distance" is physically replaced by topological vortex coupling. Entangled particles are shown to be the phase-locked endpoints of a shared, rigid quantized vortex filament within the Higgs-QCD superfluid. The paper explains how localized energy absorption creates a hydrodynamic pressure drop that exerts a physical, causal back-reaction (tension) on the transmitter.
Phase transitions abound in the physical world, from the subatomic length scales of quark condensation to the decoupling forces in the early universe. In the Bose-Einstein condensation phase transition, a gas of trapped bosonic atoms is cooled to a critical temperature. Below this temperature, a macroscopic number of atoms suddenly starts to occupy a single quantum state; these atoms comprise the Bose-Einstein condensate (BEC). The dynamics of the BEC phase transition are the focus of this dissertation and the experiments described here have provided new information on the details of BEC formation. New theoretical developments are proving to be valuable tools for describing BEC phase transition dynamics and interpreting new experimental results. With their amenability to optical manipulation and probing along with the advent of new microscopic theories, BECs provide an important new avenue for gaining insight into the universal dynamics of phase transitions in general.Spontaneous symmetry breaking in the system's order parameter may be one result of cooling through a phase transition. A potential consequence of this is the spontaneous formation of topological defects, which in a BEC appear as vortices. We experimentally observed and characterized the spontaneous formation of vortices during BEC growth. We attribute vortex creation to coherence length limitations during the initial stages of the phase transition. Parallel to these experimental observations, theory collaborators have used the Stochastic Gross-Pitaevski Equation formalism to simulate the growth of a condensate from a thermal cloud. The experimental and theoretical statistical results of the spontaneous formation of vortex cores during the growth of the condensate are in good quantitative agreement with one another, supporting our understanding of the dynamics of the phase transition. We believe that our results are also qualitatively consistent with the Kibble-Zurek mechanism, a universal model for topological defect formation.Ultimately, our understanding of the dynamics of the BEC phase transition may lead to a broader understanding of phase transitions in general, and provide new insight into the development of coherence in numerous systems.
Bose-Einstein Condensation (BEC) in ultracold atomic gases is universally treated asan isolated thermodynamic phase transition occurring when the thermal de Broglie wavelength exceeds inter-particle spacing. In this work, using the scale-invariant non-associativegeometry of Big Boot Gauge Theory (BBGT), we reformulate atomic BECs not as primaryspontaneous symmetry breaking events, but as secondary phase-locked resonances driven bycoupling to the fundamental cosmic ⟨D3¯D3⟩ D-brane vacuum condensate. We show that themacroscopic wave function Ψ(r, t) = √︁ρ(r)eiθ(r,t) acts as a local impedance bridge matchingatomic phase fluctuations to the underlying non-associative OZIP vacuum background. Thismodel provides a first-principles derivation of critical condensation temperature Tc shifts inconstrained geometries and predicts anomalous coherence phase persistent in Driven FloquetBEC setups.
Superfluidity and Bose-Einstein condensation (BEC) in ultracold atomic gases represent macroscopic quantum phenomena arising from collective particle behavior at near-zero temperatures. Experimental realizations of BEC in alkali gases have enabled the observation of quantized vortices, matter-wave interference, and nonclassical excitations. This article reviews theoretical frameworks including Gross-Pitaevskii and Bogoliubov models, experimental techniques such as evaporative cooling and optical trapping, and computational approaches for simulating condensate dynamics. Two graphical analyses illustrate the condensate density profile and vortex lattice formation. Understanding these phenomena has implications for quantum simulation, atom interferometry, and exploration of quantum hydrodynamics.