THERMODYNAMIC STABILITY OF A FILAMENTARY VACUUM

In the paper's words

The theoretical program of analogue gravity has established a robust kinematic correspondence between the propagation of excitations in condensed matter systems and the behavior of quantum fields in curved spacetime. This framework, developed over decades of research, posits that the geometric description of gravity is not unique to the Einstein Field Equations but is a generic emergent feature of collective field excitations. The central thesis of this body of work is that “spacetime” can be understood as an effective acoustic metric generated by the background flow of a non-relativistic fluid.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. Evidence from the logs in Appendix C reveals that kinetic energy plummets by 78% within $t=10$, collapsing to a low value of $2.91 \times 10^{-29}$ J by $t=50$.

   from 4.3 Catastrophic Melting

How it is done

1. Using contact Hamiltonian mechanics to describe non-conservative evolution, we simulate the dissipative relaxation of this filamentary vacuum via a numerical implementation of the dissipative Gross‑Pitaevskii equation.

   from DISSIPATIVE

2. This approach, most notably articulated in Volovik’s Fermi-point scenario, unifies the ontology of matter with the topology of the underlying medium, suggesting that fermions and bosons are collective excitations of the same deep substrate.

   from 1.2 The

3. Evidence for the utility of this approach is found in its successful application to classical dissipative systems, such as those with Rayleigh friction or linear damping.

   from 1.3

4. Hydrodynamics The hydrodynamics of the superfluid plenum are governed by a “boost-agnostic” formalism, an approach that constructs consistent fluid theories without assuming fundamental Lorentz or Galilean boost symmetries.

   from 1.4 Boost-Agnostic

What would falsify it

1. These experiments confirm that the quantum field theoretic phenomena associated with curved spacetime—such as particle creation in time-dependent metrics—are real and observable effects that persist even when the underlying medium is discrete and non-relativistic.

   from 1.1 The Dynamics

2. The contact framework recovers the correct equations of motion and predicts the attractor states of these systems from first principles (Ghosh, 2023).

   from 1.3

3. We predict a “Habitability Zone” of dissipation: a range of $\gamma$ values where the vacuum cools fast enough to freeze in structure (breaking symmetry) but slow enough to avoid annealing it all away (restoring symmetry).

   from 1.5 The Hypothesis of

Where the claim stops

1. This approximation successfully captures the collective hydrodynamics and the topology of the vortex lattice, but it inherently neglects the quantum nature of the underlying constituents.

   from 5.4 Limitations: The

2. SELECTION IN A SUPERFLUID PLENUM Author: Rowan Brad Quni-Gudzinas Contact: rowan.quni@outlook.com ORCID: 0009-0002-4317-5604 ISNI: 0000000526456062 URL: https://papers.qnfo.org/papers/thermodynamic-stability-of-a-filamentary-vacuum/ Date: 2025-12-20 Version: 1.0 Abstract : The analogue gravity program has successfully established a kinematic correspondence between excitations in condensed matter systems and quantum fields in curved spacetime, yet it consistently fails to reproduce the dynamical backreaction of matter on geometry—a core feature of general relativity.

   from DISSIPATIVE

3. Consequently, phonons do not follow the trajectories of particles in a flat space but travel along the null geodesics of this effective geometry.

   from 1.1 The Dynamics

Where to read

1. 1.0 INTRODUCTION & PROBLEM2,614 words · 11 min
2. 2.0 THEORETICAL FRAMEWORK1,207 words · 5 min
3. 3.0 METHODOLOGY651 words · 3 min
4. 4.0 ANALYSIS & RESULTS559 words · 2 min
5. 5.0 SYNTHESIS & DISCUSSION579 words · 3 min
6. APPENDICES |855 words · 4 min