Relativistic Topological Superfluid

In the paper's words

Standard cosmological models assume a static vacuum energy density, yet this premise conflicts with the renormalization group flow of quantum field theory and the fine-tuning required for dark energy. Simultaneously, high-energy astrophysical observations impose a strict “glass floor” on Lorentz invariance, seemingly precluding any fluid-like substructure to spacetime. This paper introduces the Relativistic Topological Superfluid (RTS) model, which unifies these regimes by treating the vacuum as a quantum condensate with an emergent acoustic metric.

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

Numbers it reports

1. The resulting discrepancy, often cited as 120 orders of magnitude, is not merely a numerical embarrassment but a structural indictment of current understanding regarding the interface between geometry and matter.

   from 1.1 Vacuum Conflation Crisis

2. The LHAASO collaboration reports a 95% confidence level lower limit on the quantum gravity energy scale of $E_{QG} \gt 10 E_{Pl}$ for the linear term and $E_{QG} \gt 6 E_{Pl}$ for the quadratic term (LHAASO Collaboration, 2024).

   from 1.2 Planck Scale Rigidity

3. A variation of 10% in $H_0$ would induce a corresponding shift in the dynamic component of the vacuum density.

   from 3.1 Baseline Vacuum State

4. The “Cosmological Constant Problem” is essentially a discrepancy of 120 orders of magnitude between the Planck scale and the observed $\Lambda$.

   from 3.4 Dark Energy Evolution

5. This consistency across 60 orders of magnitude in $H$ (from inflation to today) is a triumph of the renormalization group scaling.

   from 3.4 Dark Energy Evolution

6. The “1/2” factor arises strictly from the projection of this intrinsic 720-degree ($4\pi$) periodicity onto the laboratory’s 360-degree ($2\pi$) reference frame.

   from 1.5 Spinor Winding Reality

How it is done

1. This consistency with observational data, combined with the theoretical robustness of the renormalization group approach, provides compelling evidence for the dynamic nature of the vacuum.

   from 1.1 Vacuum Conflation Crisis

2. The absence of such a time lag places a lower bound on the energy scale of quantum gravity, effectively pushing the “graininess” of spacetime to scales smaller than the Planck length.

   from 1.2 Planck Scale Rigidity

3. Any attempt to replace this with a topological winding number must reproduce the spin-statistics theorem and the Pauli exclusion principle with equal rigor.

   from 1.5 Spinor Winding Reality

4. This approach contrasts sharply with the standard $\Lambda$CDM model, which assumes a static renormalization point fixed at the Planck scale or some other high-energy cutoff.

   from 2.1 Running Vacuum Dynamics

What would falsify it

1. Furthermore, the model naturally predicts a smooth transition from a decelerating matter-dominated universe to an accelerating vacuum-dominated one, without the need for an ad hoc scalar field or “quintessence.” The data indicates that the equation of state parameter, $w$, effectively mimics the standard $\Lambda$CDM value of $-1$ at late times, while deviating significantly in the early universe, providing a testable signature of the model.

   from 1.1 Vacuum Conflation Crisis

2. This “Planck scale rigidity” implies that any emergent structure within the vacuum must be hyper-coherent, exhibiting zero viscosity and zero dispersion for all observable excitations.

   from 1.2 Planck Scale Rigidity

3. This result effectively rules out a wide class of “quantum foam” models and discrete spacetime theories that predict significant dispersion at sub-Planckian scales.

   from 1.2 Planck Scale Rigidity

Where the claim stops

1. the Vacuum Rigidity Paradox via Emergent Gravity and Dynamic Mass Generation Author: Rowan Brad Quni-Gudzinas Contact: rowan.quni@outlook.com ORCID: 0009-0002-4317-5604 ISNI: 0000000526456062 URL: https://papers.qnfo.org/papers/relativistic-topological-superfluid/ Date: 2025-12-09 Version: 1.0 Abstract : Standard cosmological models assume a static vacuum energy density, yet this premise conflicts with the renormalization group flow of quantum field theory and the fine-tuning required for dark energy.

   from Resolving

2. As elucidated by the comprehensive analysis of the running vacuum model (Solà Peracaula, 2022), the assumption that $\Lambda$ is a fundamental constant of nature is likely the root of the error.

   from 1.1 Vacuum Conflation Crisis

3. The running vacuum model (Solà Peracaula, 2022) does not require a violation of general covariance; rather, it preserves it by treating the vacuum energy as a scalar quantity that evolves covariantly.

   from 1.1 Vacuum Conflation Crisis

Where to read

1. Resolving171 words · 1 min
2. 1.0 INTRODUCTION: THE TWO VACUA4,277 words · 19 min
3. 2.0 THEORETICAL FORMALISM2,735 words · 12 min
4. 3.0 NUMERICAL ANALYSIS3,886 words · 17 min
5. 4.0 DISCUSSION & SYNTHESIS4,253 words · 18 min