9 papers
Loops, Loop Sequences and Loop Surfaces in Statistical Geodesics, and Quantum Information
Aalok Pandya
The locus of probability flow in Quantum Mechanics and information is explored. We explore loops, loop sequences and loop surfaces in the statistical geodesics. Having known about…
Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-II
Aalok Pandya
The geometry of Quantum Mechanics in the context of uncertainty and complementarity, and probability is explored. We extend the discussion of geometry of uncertainty relations in w…
Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-I
Aalok Pandya
The geometry of the symplectic structures and Fubini-Study metric is discussed. Discussion in the paper addresses geometry of Quantum Mechanics in the classical phase space. Also,…
Dark Energy, Background Independent Quantum Mechanics and the Origin of Cosmological Constant
Aalok Pandya
We explore the extended framework of the generalized quantum mechanics and discuss various aspects of neighborhood in the construction of space in search of origin of cosmological…
Spherical Manifold in Quantum Evolution
Aalok Pandya, Ashok K. Nagawat
In this paper, the projective geometry is used to describe the features of spherical manifold and discreteness in quantum evolution. As a system evolves in time the state vector ch…
On Metric of Quantum States with Lorentzian Signature
Aalok Pandya
In this note we comment on yet another way of describing metric of quantum states with the Lorentzian signature. For this, we consider the metric of quantum states and make success…