Path and path deviation equations for charged, spinning and spinning charged objects in different versions of Kaluza-Klein (KK) theory using a modified Bazanski Lagrangian have been derived. The significance of motion in five dimensions, especially for a charged spinning object, has been examined. We have also extended the modified Bazanski approach to derive the path and path deviation equatio...

We review the main results of the study of the Standard model propagating in two universal extra dimensions. Gauge bosons give rise to heavy spin-1 and spin-0 particles. The latter constitute the lightest Kaluza-Klein (KK) particle in the level (1,0). The level (1,1) can be s-channel produced. The main signals at the Tevatron and the LHC will be several tt̄ resonances.

de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism Abstract We develop a nonperturbative quantum scalar field formalism from a non-compact Kaluza-Klein (KK) theory using the induced-matter theory of gravity during inflation. We study the particular case of a de Sitter expansion for the universe.

A manifestation of Kaluza-Klein picture in hadronic spectra is discussed. We argue that the experimentally observed structures in hadronic spectra confirm the Kaluza-Klein picture of the world.

We consider Kaluza–Klein dark matter from deconstructed or latticized universal extra dimensions and study in this model the positron flux from Kaluza–Klein dark matter annihilation in the galactic halo.

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

In this paper we consider the Klein—Gordon—Maxwell system in electrostatic case, assuming fall-off large-distance requirement on gauge potential. We are interested proving existence of finite energy (and charge) standing waves, having phase corresponding to mass coefficient Klein—Gordon Lagrangian.

For free Klein-Gordon fields, we construct a one-parameter family of conserved current densities J a , with a ∈ (−1, 1), and use the latter to yield a manifestly covariant expression for the most general positive-definite and Lorentz-invariant inner product on the space of solutions of the Klein-Gordon equation. Employing a recently developed method of constructing the Hilbert space and observa...

In this paper, we determine chromatic numbers of all 6-regular loopless graphs on the Klein bottle. As a consequence, it follows that every simple 6-regular graph on the Klein bottle is 5-colorable.

Using method of inducing, irreducible unitary representation of Cay-ley–Klein orthogonal groups were constructed. There was proved that Kirilov's method of orbits is relevant for study of the behavior of irre-ducible representations under transitions between Cayley–Klein groups.