Colloquium Mathematics, Arthemy V. Kiselev (JBI, RuG)

23 oktober 2012

Join us for coffee and tea at 15.45 p.m.

Date: Tuesday, October 23^rd 2012

Speaker: Arthemy V. Kiselev (JBI, RUG)

Room: 5161.0267 (Bernoulliborg)

Time: 16.15

Title: Towards an axiomatic geometry of fundamental interactions in
noncommutative space-time at Planck scale.

Abstract:

We outline an axiomatic quantum model unifying the four fundamental
interactions; this is done by exploring a possible physical meaning of
the notions, structures, and logic in a class of noncommutative
geometries which has
been introduced in arXiv:1210.0726 [math.DG]. In this talk we try to
recognise a mathematical formalisation of such phenomena of Nature as
the oriented space-time, gravity (here, dark matter and vacuum energy),
inflation, formation and structure of sub-atomic particles, antimatter,
annihilation, CP-symmetry violation, mass and mass endowment mechanism,
three lepton-neutrino matchings, spin, helicity and chirality, electric
charge and electromagnetism, as well as the short-range weak and strong
interaction between particles, admissible transition mechanisms (e.g.,
muon to muon neutrino, electron, and electron antineutrino), and decays
(e.g., neutron to proton, electron, and electron antineutrino).

Our approach is based on the understanding of Physics as text which is
written in the language of affine Lie algebras and associated
noncommutative bundles over the space-time.