Volume 2013
Issue No.12, Dt. 1 December 2013 Time: 4h234m PM.
A SPINORIAL THEORY OF
CONTINUUM MECHANICS MODEL OF
LIGHT AND THE PHOTON - VECTOR BOSON MULTIPLETS
by
K. L. Narayana,
M. Inst. P. (Lond)
Professor
Shivaji
University,
Kolhapur-416004
[Technical
Session II PaPER No.2 Dt. September 2, 1884
“A symposium on
Variational Methods in Continuum Mechanics”, Organized by Department of
Mathematics, Regional Engineering College, Warangal-506004 A.P. India.]
Key Words: Anti-photon, Instanton charges, SU(8) symmetry,
Nijenhuis Tensor, Tetrad legs.
ABSTRACT
In
this paper a new theory of electromagnetism was presented, on September 8, 1984
at Department of Mathematics, REC, Warangal, India. Sixteen dimensional
representations outlined. First a fundamental
theorem has been enunciated “The length of the projection of spinorial
vorticity vector upon any given direction is the sum of the rates of
right-handed spinorial responses of the medium, the later being the differences
of two distinctive spin-rotations of the medium, about that direction of
elements, in any two directions perpendicular to it and to each other”.
Photon, Anti-photon and Vector-Boson (W1,
W2, W3) have been assigned Quantum Numbers of spinorial
motion. The Anti-Photon and Photon specifically stated to differ in the
(H4,
L) specification.
DETAILS OF THE
PAPER
In this article presented is
a new theory of Electromagnetism
that has exploited the inherent distinction between the physical ideas underlying Mac
Cullagh(1848) continuum
mechanical approach and Maxwell’s (1873) theory.
At
the outset I begin with the concept of a medium in which
stress, while completely insensitive to charges in
shape, arise only in response to spinorial motion about
its relaxed state.
The fundamental equations of present theory
lead to
a sixteen dimensional representation of the wave vector, through
the relations,
Fig.1
With ΓμCμ J =
J where
[ αi, αj]= 2*i* δij
for i, j = 1, 2, 3 ; μ= 0,
1, 2, 3 and α0= - I.
Constitutive relations
distinguishes our α ’s from Dirac α’s
in spite both are 4 x 4 matrices. Here hat-marked α’s are
eight dimensional characterized by
Fig.2
The I= column (ψ , φ) leads
to an eight dimensional Vector
formed out of
Fig.3
Fitgerald’s (1880) analogy of
Mac Cullagh and Maxwell
Theories may be noted next to imply the following our
first fundamental theorem : “The
length of the projection
of spinorial vorticity vector up on any given direction
is the sum of the rates of right-handed spinorial
responses
of the medium, the later being the differences of two
distinctive spin-rotations of the medium,
about that direction
of elements, in any two directions perpendicular to
it and to each other”.
Photon
(Υ) and vector-Bosons (W1, W2,
W3)
have the set
of Quantum numbers of the spinorial motion
[H4, L, T3,
Y, Q]
as (1, -1, 0, 0, 0);
(-1, 1, 1, 1, 0);
(0, ½, -1/2, 0,
0); and (0, 1/3, 1/3, -2/3, 0);
with the opposite signs for
their anti-particles. The photon (Υ ) and anti-photon (Υ̂) are identical
in the “ordinary sense” of T3, Y, Q
but differ in (H4, L) specification. This prediction gives
rise to new cosmological models of our universe.
In the interaction dynamics
the photon and Vector-Bosons
are also to be regarded as instantons and during
the processes, they are characterized by topological spinorial
charges, specified by,
Fig.4
Here
Fig.5
are
respectively the new electromagnetic tensors Anti-symmetric, metric of curved space-time,
Nijenhuis Tensor and enlarged set of Tetrad legs.
The
Fig. 6
matrices can be
expressed as,
Fig.7
where λ’s are
SU(8) matrices. The first term of q – leads to ±1, 2,
4(two ways), 5, 6, 8, 9, 10, 11, 12, 14, 20 (two
ways), 21, 24, 34, 35, 36, 56, 84 Instanton charges.
The formation of the theory incorporates
thus new selection
rules of interaction between elementary particles that
exist embedded in the topological space-time domains.
Note:
The author is lucky to observe a positron-like
particle or a positive matter, moving upward on the evening of 14 August 2013,
at Visakhapatnam that was luckily be recorded by a photo snap.[Ref 1]
Important
Observation:
The author now feels that the possible event could
have been an anti-photon that graced the Visakhapatnam city
outskirts, with a thunderstorm and a lightning.
=====================================================
Technical Session II: Chairman
Prof V P Saxena, Jivaji University, Gwalior.
Presenter
(2) PROF K L NARAYAN :
Topic “A spinorial theory of continuum
Mechanical model of light and
Photon vector-Boson multiplets”
=====================================================
REFERENCES
. 1. Saturday, August 18, 2012, trusciencetrutechnology@blogspot.com,
“EARTHQUAKES IN VISAKHAPATNAM, IN RUSSIA AND PAKISTAN AND
CELESTIAL EVENT OF MARS AND
SATURN CONJUNCTION.”,
Volume 2012, Issue No.8, Dt. 16 August 2012 Time: 9h23m A.M.;
Professor Dr.
Kotcherlakota Lakshmi Narayana,
“An important observation made, by author, which was not previously
reported by any one is
that the Earthquakes preceded and as well
supported by heavy rains and intense lightning
of an unusual nature. This practically
observed and lightning stroke recorded and analyzed
by me on the evening of 14 August 2012.’
Present
Explanation: This
happening is interpreted by the author as a reverse flow of positive matter from
the Earth interior to the clouds that surrounded the origin of the lightning.
Possibly a Positron-like particles that were produced
and moved upward to the sky or to the event origin within the clouds. Does the conjunction
events of Sun system produces anti-particles of sufficient magnitude to fill up the Solar Space”? (A star of this magnitude is perhaps enough to produce the upward moving of Anti-particles.)
2. “Note:
Hence it is not just that Higgs Boson is responsible for the “Mass – Scalar”
that makes the elementary
particles to acquire mass. Nature is more subtle in its
symmetry-super-symmetry
interaction of the NEW MATTER” in the
Paper No.21
on
6th January 2007, Kotcherlakota
Lakshmi Narayana, entitled “The possible Symmetry
& Super-Symmetry
interaction Currents and the Properties of Strange Matter of
STELLAR STRUCTURES”, reference Page
14 Abstracts, MATHEMATICAL SCIENCES,
94th Session of Indian Science
Congress 2007, Annamalai University.
Detailed paper presented at the 94th Session of ISC, 2007,Annamalai University,
Tamil Nadu, available and this is to be made accessible, on this blogspot.com shortly.
---------------------------------------------------------------------------------------------------------------------------------------
Professor Dr
Kotcherlakota Lakshmi Narayana
{Retd. Prof.of Physics, SU, Kolhapur}
17-11-10, Narasimha Ashram, Official Colony, Maharanipeta.P.O. Visakhapatnam
-530002, Mobile No. 9491902867 & 9542717723
-----------------------------------------------------------------------------------------------------------------
ACKNOWLEDGMENT
The author is indebted to late Prof. K R Rao D.Sc.(Madras) D.Sc.(London) of Andhra University, Waltair for his interest and guidance in promoting my research endevor in spite of several obstructions.
---------------------------------------------------------------------------------------------------------------
Original Paper given to the Symposium Fig.Nos. 8 to 13
Fig.8
Fig.9
Fig.10
Fig.11
Fig.12
Fig.13
=================================
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