Vortex-tangle tension yields phantom-crossing (quintom-B) dark energy

Purpose

Derive the dark-energy equation of state from a reconnecting vortex tangle and test it against the DESI DR2 (2025) dynamical-dark-energy contour.

What it proves

The tangle EoS $w(a)=-1+\varepsilon_t (a-a_c)/(a+a_c)$ is phantom ( $w<-1$ ) in the past and crosses to quintessence ( $w>-1$ ) today — the **quintom-B** signature DESI prefers. The inferred $(w_0,w_a)$ sit ~2σ from the DESI best-fit while $\Lambda$ CDM is ~4σ away.

Relation to current theory

DESI DR2 rejects a pure cosmological constant at 2.8–4.2σ. A phantom crossing is hard to build with a single scalar field without ghosts; SVT gets it for free from the two-pressure (tension + coherent-phase) structure of the tangle.

Key equation

w_{\rm SVT}(a) = -1 + \varepsilon_t\,\frac{a-a_c}{a+a_c}

Interactive visualization

Phantom-crossing dark energy vs DESI (sim data)

loading interactive visualization…

Plots

stdout tail

==================== VALIDATION ====================
  tangle params (derived): eps_t=1.0877  a_c=0.7407  (z_cross=0.35)
  w(today)               : -0.8380   (quintessence if > -1)
  w(z=3)                 : -1.5388   (phantom if < -1)
  Phantom crossing       : PASS
  rho_DE interior maximum: PASS
  SVT effective (w0, wa) : (-0.761, -0.954)
  DESI DR2 (w0, wa)      : (-0.838 +/- 0.055, -0.620 +/- 0.220)
  Quintom-B signature    : PASS
  Within DESI 2 sigma    : PASS
  distance to DESI: SVT  : 2.07 sigma
  distance to DESI: LCDM : 4.08 sigma
  SVT closer than LCDM   : PASS
  (illustrative) chi^2 D_A: LCDM=10.1  SVT=13.3
  Overall                : PASS

  SVT Prediction: Vortex-tangle tension yields phantom-crossing (quintom-B) dark energy
  Matches data:   YES - Validated
====================================================