Causal Set Dynamics and Elementary Particles
 Alexey L. Krugly
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Abstract
A causal set is considered a finite, acyclic oriented graph with special restrictions: each vertex has two incident edges directed to this vertex and two incident edges directed from this vertex. This graph is called a causal graph. The vertex with incident edges is called an Xstructure. Quantum measurements are discussed. A dynamics of the causal graph is a random sequence of elementary interactions of edges that is described by complex amplitudes. These amplitudes correspond to each pair of interacting edges. The edges are elementary particles. The mass of a particle is a probability of the interaction. An equation of particles is proposed. In a simple case this equation for Xstructure is the Dirac's equation. The edges are fermions with the spin 1/2.
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 Title
 Causal Set Dynamics and Elementary Particles
 Journal

International Journal of Theoretical Physics
Volume 41, Issue 1 , pp 137
 Cover Date
 20020101
 DOI
 10.1023/A:1013273214769
 Print ISSN
 00207748
 Online ISSN
 15729575
 Publisher
 Kluwer Academic PublishersPlenum Publishers
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