Space-time and special relativity from causal networks

2010/08/27 by Giacomo Mauro D'Ariano, D'Ariano, Giacomo Mauro, Alessandro Tosini +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1008.4805

4 pages and 4 figures

arxiv created 2010/09/24 · arxiv updated 2010/09/27

Abstract

We show how the Minkowskian space-time emerges from a topologically homogeneous causal network, presenting a simple analytical derivation of the Lorentz transformations, with metric as pure event-counting. The derivation holds generally for d=1 space dimension, however, it can be extended to d>1 for special causal networks.

Cited by

• Emergence of Space-Time from Topologically Homogeneous Causal Networks

Related

• A Derivation of Special Relativity from Causal Sets
• The Causal Event Set
• Causal and Topological Aspects in Special and General Theory of Relativity
• Simpler embeddings of causal sets into Minkowski spacetime
• The Framework, Causal and Co-compact Structure of Space-time