Combinatorics and physics Combinatorics and physics Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics. "Combinatorial Physics is an emerging area which unites combinatorial and discrete mathematical techniques applied to theoretical physics, especially Quantum Theory.". "Physical combinatorics might be defined naively as combinatorics guided by ideas or insights from physics". Combinatorics has always played an important role in quantum field theory and statistical physics. However, combinatorial physics only emerged as a specific field after a seminal work by Alain Connes and Dirk Kreimer, showing that the renormalization of Feynman diagrams can be described by a Hopf algebra. Combinatorial
Algebra of physical space equation, for an electrically charged particle of mass "m" and charge "e", takes the form: where e is an arbitrary unitary vector, and "A" is the electromagnetic paravector potential as above. The electromagnetic interaction has been included via minimal coupling in terms of the potential "A". The differential equation of the Lorentz rotor that is consistent with the Lorentz force is such that the proper velocity is calculated as the Lorentz transformation of the proper velocity at rest which can be integrated to find the space-time trajectory formula_31 with the additional use of Algebra of physical space In physics, the