**RESEARCH
ACTIVITIES:**
__ RECENT
RESEARCH ACTIVITIES OF DR. K. BANDYOPADHYAY
(PHYSICS)__
1. Atmospheric and solar neutrino experiments
favour neutrino oscillations, non-zero neutrino masses
and lepton flavour mixing resulting CP violation in
lepton sector which could possibly be explained in
beyond standard gauge models. A typical texture of
neutrino mass matrix could be achieved in the
left-right-symmetric gauge model with horizontal flavour
chiral. More interestingly, CP violation in the lepton
sector arises at TeV scale at tree level due to the
exchange of horizontal gauge bosons exclusively paving
the way for the experimentalists to look for new
particles in forthcoming Large Hadron Collider
experiments **(RSP/PHY/KB-01/2015).**
**
2**.
Minimization of the Higgs potential, containing minimal
interacting Higgs fields in a left-right-symmetric gauge
model with SU(2)_{H} horizontal symmetry
confirms a particular texture of lepton mass matrices
with normal hierarchy of lepton masses, in particular,
neutrino masses. The mixing matrix in the lepton sector
is complex with non-vanishing phase factor. The phase
term could never be rotated away resulting soft CP
violation in the lepton sector. Furthermore, CP
violation in the lepton sector arises at tree level due
to horizontal gauge bosons only where as contributions
from W_{L} – W_{R} mixing factor, lepton
–Higgs coupling phase factor have been suppressed in the
model. Thus, non-zero neutrino mass and non-diagonal
lepton mixing matrix could be confirmed in the model
from minimization of the Higgs fields and heavy
right-handed neutrinos are excluded in since their
masses are connected to the breaking of SU(2)_{H}
symmetry. Higgs mass in the model is around 1TeV which
could be interesting in NON SUSY GAUGE MODELS **(RSP/PHY/KB-02/2015).**
3. The Eightfold scheme invented by Gell-Mann
explained a strange feature of certain particles which
appeared to be easily produced in cosmic radiation and
accelerator reactions, but decayed slowly, as if
something were hindering their decays. Meson octet and
Baryon octet fit exactly to the “Eightfold way”. Great
emphasis is put on the practical/experimental aspect,
because it is only through practice that one can attain
a higher level of understanding and finally get the
concept of basic building blocks of particles i.e.,
quarks for Meson-(quark-anti quark system) and
Baryon-(three quark system) octets and Nirvana in
Buddhism. The eight aspects of the path are not to be
understood as a sequence of single steps, instead they
are highly interdependent principles that have to be
seen in relationship with each other in both cases. This
establishes that Basic Science and Philosophy are
subsets of a set **(Proc. Of UGC (ERO) Sponsored
National Seminar on Buddhist Philosophy at SSLNTM
Mahavidyalya, Dhanbad,Dec.18-19,2014).**** **
4. The evolution from scientific reductionism to
monistic idealism, known so far as Advaita Vedanta,
depends on the assumption that consciousness, not
matter, is the building block of our universe. The fact
of the matter is that matter is no longer a fact. This
new paradigm for the working of human consciousness, if
understood, has enormous epistemological repercussions
and must change our views about our impact on the
immanent world. Quantum physics is the link, the bridge,
over the century-old chasm between science and
religions, it is the “science of transcendence” we have
been waiting for. The philosophy of Vedanta could only
be realized if Quantum postulates are understood and the
eternal phenomena could be well explained in the domain
of both non-relativistic and relativistic Quantum
mechanics subject to the understanding of space-time
dimension or beyond it i.e., manifold dimension system
**(Proc. Of UGC (ERO) Sponsored National Seminar on
Vedanta Philosophy at SSLNTM Mahavidyalya,
Dhanbad,Jan.22-23,2015).**
__
RECENT RESEARCH ACTIVITIES OF DR. NARAYAN MAHTO
(MATHEMATICS)__
**INDIANISE MATHEMATICS BY VEDIC**
**MATHEMATICS: BLESSING OR CURSE!**
Ref: Presented in An Interdisciplinary National Seminar
on Vedanta philosophy (22^{nd} and 23^{rd}
January 2015).
Highlight: History of Mathematics reflect its
Development step wise from Ancient Mathematics to Modern
Mathematics and its wide applications to the
interdisciplinary subjects as well as to the society
from counting of numbers, Integers, Rational numbers,
Real and Complex number, Irrational numbers, Pythagoren
Triangles, Diaphontine equations, Trigonometric
function, Calculus, Probability(Statistics) etc. to
applied mathematics computer development and Number
theory.
None can differ that when Indian
mathematician were contributing the major basic
problems, Kerala school of astronomy and mathematics
founded by Madhava of sanganagrama in Kerala between 14
and 16^{th} centuries, Trigonometric function
given in Sanskrit “Tantra Sangrah” (sine, cosine and
inverse tangent) in Malayalam Yuktibhasa like such
several basic work had been investigated had not
received proper recognition in proper time. Surely this
ignorance harassed the Indian mathematician.
But at present if we highlight the ancient
mathematics (some one are usually/really saying Vedic
Mathematics) as politically influenced or ignorance of
the out come in near future. The student of Mathematics
inclination towards Vedic Mathematics can deviate them
from Sir Isacc Newton and G. Lebniz invention of
Calculus which is most interesting and wide useful for
modern age which gives the accurate calculation for
astronomical constraint (Solar Eclipse, Lunar Eclipse
etc.).
So, my suggestion to encourage the Indian
mathematicians by developing infrastructure and other
facilities provided to research worker as well as
students rather than to Indanise the Mathematics (Vedic
mathematics). |