Demonstrates Lorentzian signature stability in metric space, suggesting implications for theoretical physics.
Under IMM spectral contraction with Δ(x)≥Δ_min>0, non-Lorentzian metric deformations decay as exp(-∫Δdℓ'). Lorentzian signature is a stable fixed point of the coarse-graining flow (Proposition). The uniqueness step requires FRG fixed-point classification (open gap, concrete pathway provided). Comparison with asymptotic safety, causal sets, Connes geometry, CDT.
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Travis Bergen (2026) studied this question.
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