Continuous measurement on a causal set with and without a boundary

TL;DR

This paper explores modeling scalar fields on unbounded causal sets and introduces a continuous measurement framework within this context, challenging previous boundary assumptions.

Contribution

It removes the boundary assumption in causal set models and proposes a novel continuous measurement approach for scalar fields.

Findings

Scalar field action modeled without boundary constraints

Introduction of a continuous measurement model for causal sets

Potential implications for quantum gravity research

Abstract

The purpose of this paper is two-fold. First, we would like to get rid of common assumption that causal set is bounded and attempt to model its scalar field action under the assumption that it isn't. Secondly, we would like to propose continuous measurement model in this context.