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Planck-Anchored Discrete Scale Invariance: Lorentz Compatibility, Renormalization-Group Obstructions, and an Emergent Log-Periodic Structure in Asymptotically Safe Gravity

2026-07-21

Abstract excerpt

<title>Abstract</title> We examine the hypothesis that fundamental physics is invariant under exact Lorentz transformations together with discrete dilatations x^μ → λ₀ⁿ x^μ, n ∈ ℤ, anchored at the Planck scale (Planck-anchored discrete scale invariance, PDSI). Kinematically the hypothesis is consistent: the widely repeated objection that Lorentz boosts forbid a preferred discrete tower of scales fails at the l...

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Literature Corpus work: 9a93f18a-04df-5b54-841e-10b17a334868
DOI: 10.21203/rs.3.rs-10362200/v1

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Planck-Anchored Discrete Scale Invariance: Lorentz Compatibility, Renormalization-Group Obstructions, and an Emergent Log-Periodic Structure in Asymptotically Safe GravityDOI 10.21203/rs.3.rs-10362200/v1Read

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