"O Relativity, 'tis to thee
That we pledge our loyalty.
Strings may come and strings may go,
But there's one thing that we know:
Einstein said spacetime was right;
We won't give up without a fight.
O Relativity, 'tis to thee
That we pledge our loyalty."
("The Relativity Hymn" - by the relativity group - University of California, Santa Barbara")
What I do? (or plan to do...)
My Research Interests lie in the broad areas of Theoretical High Energy Particle Physics, specifically in the theories of Quantum/Classical Gravity, in Cosmology and in Theoretical Biophysics, specifically in the biophysics of the human brain. I also occassionally ponder about quantum computing.
More Details on Research...
Am planning to work on a theory of Quantum Gravity. There are numerous theories that have been proposed in an attempt to quantize gravity - string theory, loop quantum gravity etc... Albeit these theories sound promising, I am not working on any of these. I plan to approach Quantum Gravity from first principles starting with a Universe with just 2 masses and then quantizing the field by quantizing geometry and then proceeding to build a universe with many bodies. I have not started working on a specific problem yet.
Current Research...
Right now, I'm working on analysing the stability of a universe modelled with a gravity that has the Modified Gauss-Bonnet Scalar correction made to the Einstein-Hilbert Action with prof. Richard Woodard.
where, g is the determinant of the metric R is the Ricci Scalar, f(G) is the modified gauss-bonnet scalar, G is the Gauss Bonnet scalar which is essentially a combination of the Ricci Scalar, Ricci Tensor and the Reimann Curvature Tensors. This work is with the idea that all theories which have their lagrangian depending on derivatives of order greater than 2 are unstable according to the ostrogradski instability condition. The work not only involves analysing the ostrogradski instability of the f(G) theory, but also involves studying the gravitational stability of the universe which works according to a f(G) law. Now, the f(G) and f(R) theories are alternative approaches to the dark energy solution to the acceleration problem of the universe. Any theory with higher order terms in the lagrangian such as the f(G) theory fails to give rise to a stable universe even though it succeeds in explaining the late acceleration.
