[Theory-seminars] cake seminar: Yaroslav Derbenev today, 2:00pm, room F113

[Alexei Prokudin]

Dear all,

we will have a cake seminar today, Apr. 27, 2:00 pm.
Note the special room, F113.

Yaroslav Derbenev (JLab Center for Advance Study of Accelerators)

*A Covariant Approach to Unified Field Theory*

An approach to Unified Field Theory (UFT) is developed as a way to 
establish quantum field theory (QFT) on background of covariant 
differential calculus. A dual object, couple of spinor-like fields 
consisting of a covariant and contra-variant function (dual s-field, 
DSF) is considered to represent matter in a real n-dimensional unified 
manifold (UM). As a proposition in context of interpretation, the 
manifold unifies space-time coordinates and non-gauge fields of QFT as 
an aggregate of independent variables.  DSF is considered a primary 
fundamental object of UM based on isomorphism and irreducibility 
principles. Based on extreme action principle, system of covariant 
differential equations for DSF, affine s-tensor (connection object, AST) 
and dual couple of triadic s-tensors, split metric is derived. 
Riemann-Christoffel curvature form (RCF) is recognized as covariant 
derivative of affine s-tensor. Scalar Lagrangian form is composed based 
on principles of irreducibility and conformal invariance. It consists of 
a matter part and geometry part. Matter scalar is structured as binary 
form on DSF and its covariant derivatives, drawing the split metric. 
Geometry scalar is structured as bundle of non-simplified RCF with an 
s-tensor form built as binary form on the split metric. Metric tensor is 
inquired for invariant integration of scalar forms. It is composed as 
binary bundle of the split metric. Type of manifold geometry is not 
chosen in advance, neither in local (dimensionality, signature) or 
regional (topology) aspects. No fundamental constants are introduced. 
Euler-Lagrange equations for DSF are considered to play role of 
Schrödinger-Dirac equation of UM. Principles of establishing the UM 
dimensionality, correspondence to QFT and General Relativity, and 
aspects of possible asymptotic deductions of the model to these theories 
will be discussed.

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A complete list of upcoming theory seminars and talks from previous
seminars are available from:
http://www.jlab.org/~prokudin/seminars/

Alexei, Berni and Satoshi
JLab Theory Seminar Organizers

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 Alexei Prokudin                    | Tel:     +1 (757) 269 5385
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