Experimental Predictions

The T-symmetric dark matter model predicts a universal soliton core radius in the range 9.98–9.99 kpc for Milky Way–scale halos. This is derived from the shadow kernel structure at the conformal boundary, not fitted to rotation curves. The Euclid satellite will constrain halo core radii to sub-kpc precision; this prediction will be falsifiable by approximately March 2027.

Test window: Euclid DR1 ~ March 2027 • Paper: GPP Dark Matter Preprint

The framework predicts a velocity-dependent self-interaction cross-section scaling as v⁻⁴ in the dwarf galaxy regime, a distinctive signature that distinguishes this model from WIMP and axion alternatives. Current Bullet Cluster and cluster-scale constraints are consistent with this scaling.

Test window: Future cluster surveys • Status: Consistent with existing data

The shadow-paired vacuum energy calculation yields a dynamical dark energy equation of state with w₀ = −0.85 and wₐ = −0.21 in the Chevallier–Polarski–Linder parametrisation. This departs from ΛCDM (w = −1) and is consistent with the 2024 DESI BAO results suggesting w > −1 at low redshift. The DESI full survey will constrain these parameters to ~5% precision.

Test window: DESI Year 3 ~ 2026 • Status: Directionally consistent with DESI 2024

The T-symmetric cosmology predicts a stochastic gravitational wave background with spectral index n_t = 2/3, arising from the conformal structure of the T-boundary. The NANOGrav 15-year dataset is consistent with this but not yet sufficient to distinguish it from other models. Future PTA data and LISA will constrain this to percent-level precision.

Test window: IPTA + LISA ~ 2030s • Status: Consistent with NANOGrav 15yr

The preferred axis from the T-boundary structure predicts a hemispherical power asymmetry A = 0.07 in the CMB temperature maps, consistent with the observed Axis of Evil anomaly. The angular separation between ℓ = 2 and ℓ = 3 multipoles is predicted to be Δθ₂₃ = 5°. Both values are derived from the shadow kernel geometry, not fitted.

Test window: LiteBIRD ~ 2030 • Status: Consistent with Planck data

The T-boundary Majorana condition forces the lightest neutrino mass to zero: the lightest neutrino is exactly massless, protected by the topology of the T-boundary. This gives normal ordering with m_ν1 = 0, which combined with measured mass splittings gives Σm_ν ≈ 0.059 eV. The Majorana condition is also a prediction: neutrinoless double beta decay exists.

Test window: KATRIN full dataset 2027; Euclid neutrino mass sum 2027 • Status: Consistent with current upper limits

The Yang–Mills mass gap formula M = 2N/(k+N)·Λ_QCD with N = 3 (SU(3) colour) and Kac–Moody level k = 4π/g² evaluated at the QCD scale predicts the scalar glueball mass. For k ≈ 1 this gives M₀₊₊ ≈ 1.5–1.7 GeV, consistent with the f₀(1500) candidate. The ratio M₀₊₊/Λ_QCD is a parameter-free prediction.

Test window: PANDA at FAIR ~ 2026+ • Status: Consistent with lattice QCD and f₀(1500)

The T-boundary condition forces ν = ν̄ᶜ (Majorana condition) without any additional assumptions beyond the framework. Neutrinoless double beta decay must therefore occur. The effective Majorana mass m_ββ is predicted to be in the range 1–5 meV for normal ordering with m_ν1 = 0, at the sensitivity floor of next-generation experiments.

Test window: nEXO ~ 2030; LEGEND-1000 ~ 2028 • Status: Predicted positive signal