# (Newtonian) Space-Time Algebra

arXiv: https://arxiv.org/abs/2001.04242 · HTML: https://mlsanity.com/paper/2001.04242/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Dec 2019.

## Built on by (most cited first, 2 of 2)

- [A Microarchitecture Implementation Framework for Online Learning with Temporal Neural Networks](https://mlsanity.com/paper/2105.13262/) (2021)
- [A Macrocolumn Architecture Implemented with Spiking Neurons](https://mlsanity.com/paper/2207.05081/) (2022)

## Abstract (arXiv)

The space-time (s-t) algebra provides a mathematical model for communication and computation using values encoded as events in discretized linear (Newtonian) time. Consequently, the input-output behavior of s-t algebra and implemented functions are consistent with the flow of time. The s-t algebra and functions are formally defined. A network design framework for s-t functions is described, and the design of temporal neural networks, a form of spiking neural networks, is discussed as an extended case study. Finally, the relationship with Allen's interval algebra is briefly discussed.