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20102024
most citedCombinatorial Quantum Gravity: Geometry from Random Bits

42 citations

Showing hep-thShow all

9 papers · 1 filter

hep-th2022★ 4 cited

Effective de Sitter space, quantum behaviour and large-scale spectral dimension (3+1)

Carlo A. Trugenberger

De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constit…

hep-th2020★ 22 cited

Emergence of the Circle in a Statistical Model of Random Cubic Graphs

Christy Kelly, Carlo Trugenberger, Fabio Biancalana

We consider a formal discretisation of Euclidean quantum gravity defined by a statistical model of random -regular graphs and making using of the Ollivier curvature, a coarse an…

hep-th2020★ 27 cited

Quantum magnetic monopole condensate

M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur

Despite decades-long efforts, magnetic monopoles were never found as elementary particles. Monopoles and associated currents were directly measured in experiments and identified as…

hep-th2018★ 5 cited

Combinatorial Quantum Gravity: Emergence of Geometric Space from Random Graphs

C. Kelly, C. A. Trugenberger

We review and extend the recently proposed model of combinatorial quantum gravity. Contrary to previous discrete approaches, this model is defined on (regular) random graphs and is…

hep-th2016★ 42 cited

Combinatorial Quantum Gravity: Geometry from Random Bits

Carlo A. Trugenberger

I propose a quantum gravity model in which geometric space emerges from random bits in a quantum phase transition driven by the combinatorial Ollivier-Ricci curvature and correspon…

hep-th2015★ 6 cited

Critical Space-Time Networks and Geometric Phase Transitions from Frustrated Edge Antiferromagnetism

Carlo A. Trugenberger

Recently I proposed a simple dynamical network model for discrete space-time which self-organizes as a graph with Hausdorff dimension d_H=4. The model has a geometric quantum phase…