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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Exceptional-point stability boundaries from quantum dissipation to cosmological acceleration.

Nate Christensen1

  • 1SymC Universe Project, Missouri, USA. NateChristensen@SymCUniverse.com.

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Summary

This study links cosmic acceleration to critical damping in structure growth, reformulating known equations as a stability-phase transition. It predicts measurable deviations from standard cosmology, offering a new framework for particle distribution analysis.

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Area of Science:

  • Physics
  • Cosmology
  • Non-Hermitian Physics

Background:

  • Dissipative dynamics in physical systems create structural boundaries.
  • The dimensionless damping ratio defines stability architectures, with critical thresholds marking exceptional points (EPs).
  • The standard Lambda Cold Dark Matter (ΛCDM) model describes cosmic acceleration and structure growth.

Purpose of the Study:

  • To demonstrate an algebraic identity linking cosmic acceleration onset to critical damping of structure growth within flat ΛCDM.
  • To recast the kinematic transition of cosmic acceleration as a stability-phase transition.
  • To propose a framework for analyzing particle distribution based on stability organization and generate testable predictions.

Main Methods:

  • Reformulation of standard Friedmann and growth equations.
  • Derivation of an exact algebraic identity connecting cosmic acceleration and critical damping.
  • Proposal of a substrate inheritance relation for emergent modes.

Main Results:

  • An identity [Formula: see text] is demonstrated, linking cosmic acceleration to critical damping of structure growth.
  • This identity recasts cosmic acceleration as a stability-phase transition.
  • A prediction is made for a measurable, nonzero offset between critical damping and acceleration transitions in extensions of flat ΛCDM.

Conclusions:

  • The observed particle distribution aligns with stability organization, with matter in localized stability basins and resonances in a secondary band.
  • The proposed framework offers a structurally grounded classification with testable consequences for cosmology and particle physics.
  • Departures from flat ΛCDM are predicted to yield a measurable offset between stability transitions.