OCTONIONS: E_{8} LATTICE TO \Lambda_{16}

TL;DR

This paper explores a lattice fibration related to the highest dimensional Hopf fibration, providing a discrete mathematical structure connecting spheres of different dimensions.

Contribution

It introduces a new example of a lattice fibration inspired by the E8 lattice and the S^7 to S^15 to S^8 Hopf fibration.

Findings

Constructs a lattice fibration analogous to the Hopf fibration

Establishes a discrete version of a high-dimensional topological structure

Links E8 lattice to sphere fibrations in higher dimensions

Abstract

I present here another example of a lattice fibration, a discrete version of the highest dimensional Hopf fibration: $S^{7}\longrightarrow S^{15} \longrightarrow S^{8}$.