5 citations · 7 across the 3 of their papers we have counts for
8 papers
Quantum mechanics without spacetime IV : a noncommutative Hamilton-Jacobi equation
T. P. Singh
It has earlier been argued that there should exist a formulation of quantum mechanics which does not refer to a background spacetime. In this paper we propose that, for a relativis…
Quantum mechanics without spacetime III: a proposal for a non-linear Schrodinger equation
T. P. Singh
It is proposed that the Schrodinger equation for a free point particle has non-linear corrections which depend on the mass of the particle. It is assumed that the corrections becom…
Gravitational collapse of an infinite dust cylinder
Sashideep Gutti, T. P. Singh, Pranesh Sundararajan +1
We examine the gravitational collapse of an infinite cylindrical distribution of time like dust. In order to simplify the calculation we make an assumption that the axial and azimu…
Quantum mechanics without spacetime - a possible case for noncommutative differential geometry?
T. P. Singh
The rules of quantum mechanics require a time coordinate for their formulation. However, a notion of time is in general possible only when a classical spacetime geometry exists. Su…
Comparing quantum black holes and naked singularities
T. P. Singh
There are models of gravitational collapse in classical general relativity which admit the formation of naked singularities as well as black holes. These include fluid models as we…
Naked singularities and the Weyl Curvature Hypothesis
Sukratu Barve, T. P. Singh
We examine the growth of the Weyl curvature in two examples of naked singularity formation in spherical gravitational collapse - dust and the Vaidya spacetime. We find that the Wey…