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 $\tau$-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 $\lambda$ 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 $OSP(1/4)$ 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 $Mp(2)$. 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