Before we dive into the accessibility stream of nowadays indicatory
applications of octonions to computer and other sciences and to quantum physics
let us focus for a while on the crucially relevant events for todays revival on
interest to nonassociativity. Our reflections keep wandering back to the
BrahmaguptaFibonacc two square identity and then via the Euler four
square identity up to the DegenGgravesCayley eight square identity.
These glimpses of history incline and invite us to retell the story on how
about one month after quaternions have been carved on the Broughamian bridge
octonions were discovered by JohnThomasGgraves, jurist and
mathematician, a friend of WilliamRowanHamilton. As for today we just
mention en passant quaternionic and octonionic quantum mechanics,
generalization of CauchyRiemann equations for octonions and triality
principle and G2 group in spinor language in a descriptive way in order not
to daunt non specialists. Relation to finite geometries is recalled and the
links to the 7stones of seven sphere, seven imaginary octonions units in out of
the Plato cave reality applications are appointed . This way we are welcomed
back to primary ideas of Heisenberg, Wheeler and other distinguished
fathers of quantum mechanics and quantum gravity foundations.Comment: 26 pages, 7 figure