Theoretical Note: Derivation of the Schrödinger Equation from the Chronodynamic Euler State

In the framework of Chronodynamic Cosmology (CDC), the vacuum is defined as a physical superfluid (Psi). If this premise is correct, the fundamental equations of Quantum Mechanics must be derivable from Hydrodynamics. In this note, we perform the Madelung Transformation to demonstrate that the Schrödinger Equation is mathematically equivalent to the Euler Equation for an inviscid, compressible fluid subjected to a specific internal pressure potential. This derivation suggests that "Quantum Potential" (Q) is the hydrostatic pressure of the Time-Fluid, and that "Wavefunction Collapse" is a phase transition from an inviscid (superfluid) state to a viscous (classical) state.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-25
DOI
https://doi.org/10.5281/zenodo.17715835
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Theoretical Note: Derivation of the Schrödinger Equation from the Chronodynamic Euler State

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Theoretical Note: Derivation of the Schrödinger Equation from the Chronodynamic Euler State

article en

Abstract

In the framework of Chronodynamic Cosmology (CDC), the vacuum is defined as a physical superfluid (Psi). If this premise is correct, the fundamental equations of Quantum Mechanics must be derivable from Hydrodynamics. In this note, we perform the Madelung Transformation to demonstrate that the Schrödinger Equation is mathematically equivalent to the Euler Equation for an inviscid, compressible fluid subjected to a specific internal pressure potential. This derivation suggests that "Quantum Potential" (Q) is the hydrostatic pressure of the Time-Fluid, and that "Wavefunction Collapse" is a phase transition from an inviscid (superfluid) state to a viscous (classical) state.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 41%
Cosmology and Gravitation Theories
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