5 papers
Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series
Seth K. Asante
We introduce a cyclotomic representation for finite -hypergeometric series and -deformed amplitudes that separates algebraic structure from evaluation. By expressing each sum…
Causal structure and topology change in (2+1)-dimensional simplicial gravity
Seth K. Asante, Björn Borgolte
We develop a systematic method for analyzing the causal structure at vertices in (2+1)-dimensional Lorentzian simplicial gravity. By examining the intersection patterns of lightcon…
Solving the area-length systems in discrete gravity using homotopy continuation
Seth K. Asante, Taylor Brysiewicz
Area variables are intrinsic to connection formulations of general relativity, in contrast to the fundamental length variables prevalent in metric formulations. Within 4D discrete…
Efficient Tensor Network Algorithms for Spin Foam Models
Seth K. Asante, Sebastian Steinhaus
Numerical computations and methods have become increasingly crucial in the study of spin foam models across various regimes. This paper adds to this field by introducing new algori…
The algebraic matroid of the Heron variety
Seth K. Asante, Taylor Brysiewicz, Michelle Hatzel
We introduce the n-th Heron variety as the realization space of the (squared) volumes of faces of an n-simplex. Our primary goal is to understand the extent to which Heron's formul…