Research interest

The mathematically exact model of (special) relativistic quantum mechanics.

*What is the wave equation of the particles which are moving faster than light?**What quantities describe the particles (mass, spin, something else?) and what will be the wave equation of the particles which live on a 1+1 and 2+1 dimensional space-time and we consider the (special-)relativistic motion?**Consider the 1+1 and 2+1 dimensional space-time with classical (non-relativistic, or Galileian relativistic) symmetry. What quantities describe the particles (mass, spin, something else?) and what will be the wave equation of these particles?*

*The state space of a finite level quantum system can be endowed with Riemannian metric using monotone metrics. What kind of physical quantities correspond to the differential geometrycal invariants of this space?*

*If time-travelling is possible in the Gödel-universe?**How one can make 'time-machine' using a Kerr-type rotating black-hole or a charged black-hole?**What can we say about causality if one can travel in time?*

*I have just started to study them...*