662 research outputs found
Introduction to the Theory of Goyaks (Operator Manifold Approach to Geometry and Particle Physics)
The question that guides our discussion is "how did the geometry and
particles come into being?" To explore this query we suggest the theory of
goyaks, which reveals the primordial deeper structures underlying fundamantal
concepts of contemporary physics. It address itself to the question of the
prime-cause of origin of geometry and basic concepts of particle physics such
as the fundamental fields of quarks and leptons with the spins and various
quantum numbers, internal symmetries and so on; also basic principles of
Relativity, Quantum, Gauge and Color Confinement, which are, as it was proven,
all derivative and come into being simultaneously. The substance out of which
the geometry and particles are made is a set of new physical structures-the
goyaks involved into reciprocal linkage establishing processes. We elaborated a
new mathematical framework, which is a still wider generalization of the
familiar methods of secondary quantization with appropriate expansion over the
geometric objects. One interesting offshoot of it directly leads to the
formalism of operator manifold, which framed our discussion throughout this
paper. It yields the quantization of geometry, which differs in principle from
all earlier studies. Many of the important anticipated properties, basic
concepts and principles of particle physics are appeared quite naturally in the
framework of suggested theory. It predicts a class of possible models of
internal symmetries, which utilize the whole idea of gauge symmetry and
reproduce the known phenomenology of electromagnetic, weak and strong
interactions. Here we focused our attention mainly on developing the
mathematical foundations for our novel viewpoint. We believe that the more
realistic final theory of particles and interactions can be found within theComment: 86 pages, LaTex, the revised version of ICTP Preprint (Sep.,1994)
submitted to Annals of Physic
Operator Manifold Approach to Geometry and Particle Physics
The question that guides our discussion is how did the geometry and particles
come into being. The present theory reveals primordial deeper structures
underlying fundamental concepts of contemporary physics. We begin with a
drastic revision of a role of local internal symmetries in physical concept of
curved geometry. A standard gauge principle of local internal symmetries is
generalized. The gravitation gauge group is proposed, which is generated by
hidden local internal symmetries. Last two parts address to the question of
physical origin of geometry and basic concepts of particle physics such as the
fields of quarks with the spins and various quantum numbers, internal
symmetries and so forth; also four basic principles of Relativity, Quantum,
Gauge and Color Confinement, which are, as it was proven, all derivative and
come into being simultaneously. The most promising aspect of our approach so
far is the fact that many of the important anticipated properties, basic
concepts and principles of particle physics are appeared quite naturally in the
framework of suggested theory.Comment: LaTex, 42 pages, email [email protected]
Axion-photon conversion caused by dielectric interfaces: quantum field calculation
Axion-photon conversion at dielectric interfaces, immersed in a
near-homogeneous magnetic field, is the basis for the dielectric haloscope
method to search for axion dark matter. In analogy to transition radiation,
this process is possible because the photon wave function is modified by the
dielectric layers ("Garibian wave function") and is no longer an eigenstate of
momentum. A conventional first-order perturbative calculation of the transition
probability between a quantized axion state and these distorted photon states
provides the microwave production rate. It agrees with previous results based
on solving the classical Maxwell equations for the combined system of axions
and electromagnetic fields. We argue that in general the average photon
production rate is given by our result, independently of the detailed quantum
state of the axion field. Moreover, our result provides a new perspective on
axion-photon conversion in dielectric haloscopes because the rate is based on
an overlap integral between unperturbed axion and photon wave functions, in
analogy to the usual treatment of microwave-cavity haloscopes.Comment: 15 pages, 2 figures; v2: minor changes to match published versio
Gravitation and inertia; a rearrangement of vacuum in gravity
We address the gravitation and inertia in the framework of 'general gauge
principle', which accounts for 'gravitation gauge group' generated by hidden
local internal symmetry implemented on the flat space. We connect this group to
nonlinear realization of the Lie group of 'distortion' of local internal
properties of six-dimensional flat space, which is assumed as a toy model
underlying four-dimensional Minkowski space. The agreement between proposed
gravitational theory and available observational verifications is satisfactory.
We construct relativistic field theory of inertia and derive the relativistic
law of inertia. This theory furnishes justification for introduction of the
Principle of Equivalence. We address the rearrangement of vacuum state in
gravity resulting from these ideas.Comment: 17 pages, no figures, revtex4, Accepted for publication in Astrophys.
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