9 research outputs found
A new theory of gravity
We proceed from the fact that at the quantum level Einsteinian equivalence principle is invalid (it was demonstrated in our previous contribution). In connection with this we have to look for another physical principle for description of gravity at elementary particle level. The principle we consider is already found. It is ether
About the new quantum mechanics
In our previous papers it is demonstrated that in high energy region (at very small distances) there is a proper quantum theory principally distinguished from the Heisenberg-Schroedinger one (which is well adopted to the description of moderate energy region). It means that usual quantum theory is not complete (not closed) and may be completed. Here we formulate the completeness procedure for Schroedinger wave mechanics (it is to some extent a mathematical problem). Hereby naturally to use the theory of commutative functional rings in which new wave theory is already in ready form. Our approach to the closeness problem permits by transparent way to come to light non-uniqueness of the present quantum theory and to get the unique completeness procedure for Heisenberg picture
Galilean experiment at the elementary particle level
As is well known Einsteinian theory of gravity is based on he so called equivalence principle according of which gravity is identified with accelerated frame and therefore both - acceleration and gravity - are described by means of metric given on the space-time continuum.
Here we demonstrate that at the elementary particle level (in the framework of the quantized field theory) there is no equivalence between gravity and acceleration. As a result we may formulate the following statement: two particles with different masses (for example electron and proton) move in one and the same given external gravitational field not identical, they move with different accelerations
Relativistic particle dynamics in D=2+1
We propose a SUSY variant of the action for a massless spinning particles via
the inclusion of twistor variables. The action is constructed to be invariant
under SUSY transformations and -reparametrizations even when an
interaction field is including. The constraint analysis is achieved and the
equations of motion are derived. The commutation relations obtained for the
commuting spinor variables show that the particle states have
fractional statistics and spin. At once we introduce a possible massive term
for the non-interacting model.Comment: 11 page
Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations
The physical meaning of the particularly simple non-degenerate supermetric,
introduced in the previous part by the authors, is elucidated and the possible
connection with processes of topological origin in high energy physics is
analyzed and discussed. New possible mechanism of the localization of the
fields in a particular sector of the supermanifold is proposed and the
similarity and differences with a 5-dimensional warped model are shown. The
relation with gauge theories of supergravity based in the group is
explicitly given and the possible original action is presented. We also show
that in this non-degenerate super-model the physic states, in contrast with the
basic states, are observables and can be interpreted as tomographic projections
or generalized representations of operators belonging to the metaplectic group
. The advantage of geometrical formulations based on non-degenerate
super-manifolds over degenerate ones is pointed out and the description and the
analysis of some interesting aspects of the simplest Riemannian superspaces are
presented from the point of view of the possible vacuum solutions.Comment: Stile of the text improved in Journa