The present work is a review of a series of papers, published in the last ten years, comprising an attempt to find a suitable avenue from geometry to quantum. It shows clearly that, any non-symmetric geometry admits some built-in quantum features. These features disappear completely once the geometry becomes symmetric (torsion-less). It is shown that, torsion of space-time plays an important role in both geometry and physics. It interacts with the spin of the moving particle and with its charge. The first interaction, {\bf{Spin-Torsion Interaction}}, has been used to overcome the discrepancy in the results of the COW-experiment. The second interaction, {\bf{Charge-Torsion Interaction}}, is similar to the Aharonov-Bohm effect. As a byproduct...
We discuss the generalized Newton-Cartan geometries that can serve as gravitational background field...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
In the present work, it is shown that the geometerization philosophy has not been exhausted. Some qu...
A simple mapping procedure is presented by which classical orbits and path integrals for the motion ...
I explain the geometric basis for the recently-discovered nonholonomic mapping principle which permi...
We argue that compatibility with elementary particle physics requires gravitational theories with to...
summary:This review article intends to introduce the reader to non-integrable geometric structures o...
This conference talk elaborates on a recently discovered mapping procedure by which classical orbits...
In this paper, we study the subtle effect of constraints on the quantum dynamics of a point particle...
Understanding quantum theory in terms of a geometric picture sounds great. There are different appro...
We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result t...
Classical methods of differential geometry are used to construct equations of motion for particles i...
We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result t...
After a brief introduction, basic ideas of the quantum Riemannian geometry underlying loop quantum g...
We discuss the generalized Newton-Cartan geometries that can serve as gravitational background field...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
In the present work, it is shown that the geometerization philosophy has not been exhausted. Some qu...
A simple mapping procedure is presented by which classical orbits and path integrals for the motion ...
I explain the geometric basis for the recently-discovered nonholonomic mapping principle which permi...
We argue that compatibility with elementary particle physics requires gravitational theories with to...
summary:This review article intends to introduce the reader to non-integrable geometric structures o...
This conference talk elaborates on a recently discovered mapping procedure by which classical orbits...
In this paper, we study the subtle effect of constraints on the quantum dynamics of a point particle...
Understanding quantum theory in terms of a geometric picture sounds great. There are different appro...
We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result t...
Classical methods of differential geometry are used to construct equations of motion for particles i...
We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result t...
After a brief introduction, basic ideas of the quantum Riemannian geometry underlying loop quantum g...
We discuss the generalized Newton-Cartan geometries that can serve as gravitational background field...
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differenti...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...