3 papers
quant-ph2026
Polymer quantum mechanics on compact configuration spaces
Maxwell R. Siebersma, Basie Seibert, Samuel Shuman +1
"Polymer quantum mechanics" is the name given to a quantization scheme inspired by loop quantum gravity in which the configuration space of the theory is chosen to have a discrete…
gr-qc2024
The Geometry of Tangent Spaces on Causal Sets
Samuel Shuman
In this paper, we expand on previous work describing partial derivatives and metric component estimators to define tangent spaces on causal sets. Partial derivative operators are t…
gr-qc2024
Partial Derivatives on Causal Sets
Samuel Shuman
We will discuss two approaches to estimating partial derivatives and the metric components; one utilizing past work describing a causal set operator, and one using a constru…