Papers by Anmol Sahu
We have recently proposed a Lagrangian in trace dynamics, to describe a possible unification of g... more We have recently proposed a Lagrangian in trace dynamics, to describe a possible unification of gravity, Yang-Mills fields, and fermions, at the Planck scale. This Lagrangian for the unified entity called the aikyon is invariant under global unitary transformations, and as a result possesses a novel conserved charge, known as the Adler-Millard charge. In the present paper, we derive an eigenvalue equation, analogous to the time-independent Schrödinger equation, for the Hamiltonian of the theory. We show that in the emergent quantum theory, the energy eigenvalues of the aikyon are characterised in terms of a fundamental frequency times Planck’s constant. The eigenvalues of this equation can, in principle, determine the values of the parameters of the standard model. We also report a ground state, in this theory of spontaneous quantum gravity, which could characterise a non-singular initial epoch in quantum cosmology. I. AN EIGENVALUE EQUATION FOR THE HAMILTONIAN OF AN AIKYON We have ...
Thesis Chapters by Anmol Sahu
IISER Pune, 2021
The most radical feature of General Relativity was its identification of gravity with spacetime c... more The most radical feature of General Relativity was its identification of gravity with spacetime curvature. However, in attempts to find a unified field theory, Einstein himself discovered an alternate way to look at gravity in which spacetime was globally flat, but gravity was mediated by torsion. In this thesis, we will discuss two such theories of gravity which are equivalent to general relativity but build upon globally flat spacetime. The theories which will be discussed are Teleparallel Equivalent of General Relativity (TEGR) and Symmetric Teleparallel Equivalent of General Relativity (STEGR). We will show that the identification of gravity with spacetime curvature is not unique but a mere convention. These theories give two other equivalent but conceptually very different ways to look at gravity. We will show that classically all three theories are indistinguishable and which one represents the reality we do not know.
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Papers by Anmol Sahu
Thesis Chapters by Anmol Sahu