Graphene at the Dirac Point
Authors/Creators
Description
Researchers at the Indian Institute of Science demonstrated in September 2025 that ultraclean suspended graphene violates the Wiedemann-Franz law near the Dirac point: electrical
conductivity increases while thermal conductivity decreases, with the Lorenz ratio deviating by
more than an order of magnitude [1]. Electrons form a collective hydrodynamic Dirac fluid
whose transport properties cannot be explained by standard Boltzmann theory. This paper
interprets these observations through the Canon unified field theory (Gilbert 2025–2026).
The Canon’s pressure axiom applied to graphene’s hexagonal lattice predicts that the
system crosses a Canon stability threshold near the Dirac point, at which collective surplusdriven coherence replaces individual quasi-particle transport. The threshold crossing is the
physical event that produces the Wiedemann-Franz violation. The two transport channels
— electrical and thermal — decouple at this threshold because they couple differently to the
surplus operator: electrical transport couples to the coherent collective flow sustained by the
Continuance operator; thermal transport couples to the fluctuation modes that the collective
state suppresses through recursive depth.
This paper derives the Canon stability condition for the graphene threshold, maps the four
Canon operators onto the observed transport behaviour, and presents five falsifiable predictions
distinguishing the Canon interpretation from quantum hydrodynamic models.
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Gilbert_Graphene_Dirac.pdf
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Additional details
Additional titles
- Subtitle (English)
- A Canon Framework Interpretation of Hydrodynamic Electron Transport
References
- Nayak, S., et al., Electron Hydrodynamics in Graphene: Experimental and Theoretical Status, arXiv:2509.11315v1 (September 2025).
- Graphene Breaks Fundamental Law of Physics, ScienceDaily, September 12, 2025; Nature Research Highlights, Graphene Shows How Electrons Can Act Like a Perfect Fluid, Nature (September 2025). DOI: 10.1038/d44151-025-00170-7.
- Müller, M., Schmalian, J., & Fritz, L., Graphene: A Nearly Perfect Fluid, Physical Review Letters 103, 025301 (2009).
- Lucas, A., & Fong, K.C., Hydrodynamics of Electrons in Graphene, Journal of Physics: Condensed Matter 30, 053001 (2018).
- Gilbert, D.A., Cohesion: A Unified Field Theory of Matter and Motion, Independent Researcher (2026).
- Gilbert, D.A., Thermodynamics as the Unifying Substrate, Independent Researcher (2026).
- Gilbert, D.A., Canon Three-Body Classification v4.7, Independent Researcher (2026).
- Gilbert, D.A., Recursive Spin-Field Entanglement: A Canon Framework View of How Magnetic Systems Interact, Independent Researcher (2026)
- Castro Neto, A.H., et al., The Electronic Properties of Graphene, Reviews of Modern Physics 81, 109 (2009).
- Crossno, J., et al., Observation of the Dirac Fluid and the Breakdown of the Wiedemann-Franz Law in Graphene, Science 351, 1058 (2016).