Lightlike infinity in GCA models of Spacetime

TL;DR

This paper introduces a 7D conformal geometric algebra model for spacetime that distinctly represents lightlike infinity, aiding interpretation despite apparent computational redundancy.

Contribution

It presents a novel 7D GCA model that explicitly incorporates lightlike infinity, enhancing understanding of spacetime geometry.

Findings

Lightlike infinity is naturally represented in the 7D GCA model.

The model clarifies the role of lightlike infinity in spacetime geometry.

The extra dimension, though seemingly redundant, is useful for interpretation.

Abstract

This paper discusses a 7 dimensional conformal geometric algebra model for spacetime based on the notion that spacelike and timelike infinities are distinct. I show how naturally of the dimensions represents the lightlike infinity and appears redundant in computations, yet usefull in interpretation