Understanding neutrino mass, Dark Matter and Supersymmetry
are some of the issues beyond Standard Model. But the main
loop hole is gravity which has been left out of Standard Model. The energy scale of quantum gravity, known as the Planck scale, is 16 orders of magnitude higher than the presently accessible TeV energies. So there is a long way to go.
Consider the following problems: Why cannot we distinguish
between x and z ensembles, each described by the same density matrix,
even though they are physically different (arXiv:1811.05472
[quant-ph])? Why do Gibbs-von Neumann entropy (which uses density
matrix description) gives wrong prediction in closed non-equilibrium
systems (arXiv:1903.11870 [cond-mat.stat-mech])? etc.
Root cause of all these problems is the a priori assumption of
existence of a probability measure (a purely mathematical quantity
unjustifiable physically), on which density matrix description rests.
But such a probability measure does not exist physically because of no
pointwise convergence of limiting relative frequency to the
theoretically assumed constant value for the probability of a random
event. Hence such an a priori assumption of a probability measure
(even though appealing intuitively) is incorrect physically. Moreover
such an a priori assumption of a probability measure is not really
necessary, even though useful for many practical purposes as it
simplifies the calculations. Hence Ockham's thesis motivates us to
drop the a priori assumption of a probability measure completely. We
consider path by path, everything is pointwise (e.g., fluctuation in
itself i.e., the actual fluctuation), no a priori probabilistic
measures (like standard deviation which is an averaged measure of
fluctuation) (arXiv: 1903.12096 [quant-ph]). Consequently we see that
all problems are fixed i.e., we can distinguish between x and z
ensembles (this leads to signaling via entangled particles), Boltzmann
entropy gives correct prediction etc.
I will also talk briefly about, going beyond Tsirelson bound and
quantum cryptography; NMR investigation of contextuality, Luders and
von Neumann measuring devices, and amplification of quantum Fisher
information via pre-correlated ancillas.
Physics Seminar | Alladi Ramakrishnan Hall
Jun 27 14:00-15:00
Nayana Mukherjee | Department of Mathematics, IIT Kanpur
Many important discoveries have been made in the field
of neutrinos in the last 20 years and more are expected.
The story of the discovery of neutrino mass through neutrino
oscillations will be described. Experiments on solar neutrinos and atmospheric neutrinos which made this discovery were
awarded Nobel Prize in 2002 and 2015.
A mega project called India-based Neutrino Observatory(INO) is
planned to come up in Tamil Nadu. The project and its present status will be described.