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On Neutrino in Deformed Relativity | OMICS International
ISSN: 2329-6542
Journal of Astrophysics & Aerospace Technology
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On Neutrino in Deformed Relativity

Lukasz Andrzej Glinka*

Member of the American Association of International Researchers. New York, USA

*Corresponding Author:
Lukasz Andrzej Glinka
Member of the American Association of International Researchers
New York, USA
Tel: +48-660-019-237
E-mail: [email protected]

Received Date: February 11, 2014; Accepted Date: February 11, 2014; Published Date: February 18, 2014

Citation: Glinka LA (2014) On Neutrino in Deformed Relativity. J Astrophys Aerospace Technol 2:e107. doi:10.4172/2329-6542.1000e107

Copyright: © 2014 Glinka LA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Glinka [1] has considered the algebraic deformation of Special Relativity, which led to the equation

astrophysics-aerospace-technology                (1)

Which can be easily transformed into the pair of Dirac equations

astrophysics-aerospace-technology                                       (2)

Where M ± are the emerging mass matrices, which can be written in the form

astrophysics-aerospace-technology                            (3)

astrophysics-aerospace-technology            (4)

astrophysics-aerospace-technology                (5)

Where astrophysics-aerospace-technology reals and the energy parameter are astrophysics-aerospace-technology , gives the regularization bound astrophysics-aerospace-technology where as the squared-mass difference is astrophysics-aerospace-technology

Making use of the right- and left-handed chiral Weyl fields

astrophysics-aerospace-technology                            (6)

Where solves (2), one gets the system of two massive Weyl equations

astrophysics-aerospace-technology     (7)

Which can be rewritten as the two-component Schrodinger equation

astrophysics-aerospace-technology      (8)

For the initial momentum Eigen states astrophysics-aerospace-technology

astrophysics-aerospace-technology                    (9)

In the Dirac basis, one obtains

astrophysics-aerospace-technology               (10)


astrophysics-aerospace-technology               (11)

Where astrophysics-aerospace-technology while in the Weyl basis

astrophysics-aerospace-technology                  (12)



Where astrophysics-aerospace-technology

In this manner, throughout the massive Weyl equation and manifestly unitary two-component Schrodinger equations, the model of Deformed Relativity leads to a massive normalizable neutrino states.


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