Combinatorial interpretation of the coefficients of the causal set d'Alembertian

TL;DR

This paper provides a combinatorial interpretation of the rational coefficients in the causal set theory d'Alembertian, offering new insights into its mathematical structure.

Contribution

It introduces a novel combinatorial perspective on the coefficients of the causal set d'Alembertian, linking algebraic expressions to combinatorial objects.

Findings

Rational coefficients are interpreted combinatorially.

Alternating expressions are explained through combinatorial structures.

New connections between causal set theory and combinatorics are established.

Abstract

The causal set theory d'Alembertian has rational coefficients for which alternating expressions are known. Here, a combinatorial interpretation of these numbers is given.