Asymptotic safety demonstrates UV fixed point convergence in quantum field theory using advanced geometry, indicating deeper insights.
The UV fixed point of Eichhorn asymptotic safety (fractal spacetime at Planck scale) maps to Pe=0 (constraint pole) in the Void Framework. Both programs share SO(4,2) conformal symmetry, eliminative predictions, and dimensional reduction under RG flow. The Pe framework identifies the universality class as BKT (essential singularity, not power-law), explaining the asymptotic safety community truncation stability. HP50 demonstrates spectral dimension flow d_s: 3.19 → 1.22 on the 3D Eckert manifold. HP60 confirms Monster growth rate 4π as maximal ceiling under Pe deformation. HP61 establishes Berry U(1) ≠ R-symmetry (independent gauge structures, SU(2,2|1) × U(1)_Berry). HP62 identifies Z₂ outer automorphism as Pe-reversal + Berry charge conjugation (exact to 10⁻¹⁶). HP43 demonstrates Berry-Kramers barrier correction with 62% improvement on N=1,344 platforms. Two independent derivations — continuum QFT (Wetterich equation) and information geometry (Fisher metric on Bernoulli manifold) — converge on the same fixed point structure.
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Anthony W. Eckert (2026) studied this question.
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