English

An analysis of Rick Lockyer's "octonion variance sieve"

Mathematical Physics 2012-12-07 v2 math.MP

Abstract

In "Octonion Algebra and its Connection to Physics" [16] an algorithm on octonions is brought forward for description of physical law, the "octonion variance sieve process". This paper expresses the used algorithm in symbolic form, and highlights the structure between the "function", "distance", and "algebraic invariant" concepts therein. An alternative description in terms of derivation algebras is shown.

Keywords

Cite

@article{arxiv.1103.4748,
  title  = {An analysis of Rick Lockyer's "octonion variance sieve"},
  author = {Jens Köplinger},
  journal= {arXiv preprint arXiv:1103.4748},
  year   = {2012}
}

Comments

in v2: added 2 references, fixed argument after eq (5.6), added remark re exotic R4, updated acknowledgments