The Dirac Point as Necessity Depth Collapse: A Fibonacci Causal Loop Theory Pre-Registration of φ-Structured Quantum Critical Transport in Ultraclean Graphene
Abstract
Fibonacci Causal Loop Theory (FCLT) predicts that necessity depth collapse events — S(0) states — produce φ-structured signatures in observable physical quantities. Paper 48 identified phase singularity annihilation as one such S(0) event (Davis 2026, zenodo.org/records/19634083). Here we identify a second independent S(0) system: the Dirac point in ultraclean graphene, where individual electron identity dissolves and collective Dirac fluid behavior emerges (Majumdar et al., Nature Physics 2025, DOI: 10.1038/s41567-025-02972-z). Two predictions are pre-registered against the publicly available source data from Majumdar et al.: P49a (active prediction): The peak Wiedemann-Franz violation factor at the Dirac point satisfies δ = |L₀/L₂ⁱ − φ¹¹| / φ¹¹ < 0.05, where φ¹¹ ≈ 199.005. Null: no φⁿ in [φ⁹–φ¹³] achieves δ < 0.05. P49b (confirmatory null): σ₉ = 4e²/h is fully explained by graphene’s 4-fold spin-valley degeneracy. FCLT predicts no φ-residual in σ₉ because the “4” is a structural degeneracy count, not a recursive necessity mechanism. Standard relativistic hydrodynamics (Son 2007; Fritz et al. 2008) fully accounts for this value. No source data files have been downloaded or analyzed prior to this submission. Analysis follows DOI assignment. This document submitted to Zenodo for priority timestamp.
Fields of Study & Subjects
Advanced Physical and Chemical Molecular Interactions
Fullerene Chemistry and Applications
Quantum
superfluid
helium dynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 April 2026
- Document type
- Preprint