6 papers
Partition Functions for Statistical Mechanics With MicroPartitions and Phase Transitions
Ajay Patwardhan
The fundamentals of Statistical Mechanics require a fresh definition in the context of the developments in Classical Mechanics of integrable and chaotic systems. This is done with…
Unified Gauge Field Theory and Topological Transitions
Ajay Patwardhan
The search for a Unified description of all interactions has created many developments of mathematics and physics. The role of geometric effects in the Quantum Theory of particles…
Non commutative quantum spacetime with topological vortex states, and dark matter in the universe
Ajay Patwardhan
Non commutative geometry is creating new possibilities for physics. Quantum spacetime geometry and post inflationary models of the universe with matter creation have an enormous ra…
Particle and Field Symmetries and Noncommutative Geometry
Ajay Patwardhan
The development of Noncommutative Geometry is creating a reworking and new possibilities in physics. This paper identifies some of the commutation and derivation structures that ar…
Quantum and Classical Phase Space: Separability and Entanglement
Ajay Patwardhan
The formalism of classical and quantum mechanics on phase space leads to symplectic and Heisenberg group representations, respectively. The Wigner functions give a representation o…
Quantisation on general spaces
Ajay Patwardhan
Quantisation on spaces with properties of curvature, multiple connectedness and non orientablility is obtained. The geodesic length spectrum for the Laplacian operator is extended…