
TL;DR
The paper proposes a novel linear mapping of octonions to coordinate space-time, addressing foundational issues in orthogonality and symmetry, and extending four-dimensional space-time with connections to historical ideas.
Contribution
It introduces a new linear mapping of octonions for space-time coordinate systems, clarifying pre-metric concepts and extending the tangent space of 4D space-time.
Findings
Explicit mapping of octonions to space-time coordinates
Resolution of pre-metric orthogonality issues
Extension of 4D space-time tangent space
Abstract
A new linear mapping of the linear vector space (LVS) of the octonions is suggested as an approach to the co-ordinatization of space-time. This approach resolves some perplexing issues concerning the validity of certain pre-metric notions of orthogonality and mirror symmetry. It makes explicit the tangent space extension of four-dimensional space-time that was alluded to earlier by the author [3] and shows that the null space component of the extended space can be related to ideas that were set out many years ago by H J S Smith.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPlanetary Science and Exploration · Space exploration and regulation
