# Cohl Furey – summary – links between the Standard Model of particle physics and the octonions

In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold {\displaystyle \mathbb {O} } \mathbb {O} . Octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension. They are noncommutative and nonassociative, but satisfy a weaker form of associativity; namely, they are alternative.

Octonions are not as well known as the quaternions and complex numbers, which are much more widely studied and used. Despite this, they have some interesting properties and are related to a number of exceptional structures in mathematics, among them the exceptional Lie groups. Additionally, octonions have applications in fields such as string theory, special relativity, and quantum logic. [ wikipedia ]

# Greater Madawaska 2018-07-07

# Money as a System-of-Control – Andreas M. Antonopoulos

# Plutarch on Empedocles

# John Archibald Wheeler : Information, Physics, Quantum : The Search for Links

# Canaletto

# Terracotta squat lekythos

# Cézanne

# Carlo Rovelli – “Space is blue and birds fly through it”

by Carlo Rovelli – “Quantum mechanics is not about ‘quantum states’: it is about values of physical variables. I give a short fresh presentation and update on the relational perspective on the theory, and a comment on its philosophical implications.” (Submitted on 8 Dec 2017 (v1), last revised 29 Jan 2018 (this version, v5))

# Mughal Prince Bidar Bakht with a hawk

# Greater Madawaska 2018-01-23

# Smiling Bodhisattva

# Alma Deutscher

Haydn Sonata in G Hoboken XVI:27, 1st movement, Allegro con brio

Alma Deutscher, September 2011

Alma Deutscher (8): Scarlatti: Sonata in F# minor, March 2013