20 citations · 84 across the 35 of their papers we have counts for
5 papers · 1 filter
Clifford Algebras and Euclid's Parameterization of Pythagorean Triples
Jerzy Kocik
We show that the space of Euclid's parameters for Pythagorean triples is endowed with a natural symplectic structure and that it emerges as a spinor space of the Clifford algebra $…
Duplex numbers, diffusion systems, and generalized quantum mechanics
Jerzy Kocik
We show that the relation between the Schrödinger equation and diffusion processes has an algebraic nature and can be revealed via the structure of "duplex numbers." This helps one…
Harmonic evolutions on graphs
Jerzy Kocik
We define the harmonic evolution of states of a graph by iterative application of the harmonic operator (Laplacian over ). This provides graphs with a new geometric context an…
Canonical endomorphism field on a Lie algebra
Jerzy Kocik
We show that every Lie algebra is equipped with a natural -variant tensor field, the "canonical endomorphism field", naturally determined by the Lie structure, and satisfyin…
The Koide Lepton Mass Formula and Geometry of Circles
Jerzy Kocik
A remarkable formal similarity between Koide's Lepton mass formula and a generalized Descartes circle formula is reported.