65 citations · 119 across the 7 of their papers we have counts for
7 papers
Discrete Time Evolution and Energy Nonconservation in Noncommutative Physics
A. P. Balachandran, A. G. Martins, P. Teotonio-Sobrinho
Time-space noncommutativity leads to quantisation of time and energy nonconservation when time is conjugate to a compact spatial direction like a circle. In this context energy is…
Index Theorem for the -Deformed Fuzzy Sphere
E. Harikumar, Amilcar R. Queiroz, P. Teotonio-Sobrinho
We calculate the index of the Dirac operator defined on the q-deformed fuzzy sphere. The index of the Dirac operator is related to its net chiral zero modes and thus to the trace o…
Dirac operator on the q-deformed Fuzzy sphere and Its spectrum
E. Harikumar, Amilcar R. Queiroz, P. Teotonio-Sobrinho
The q-deformed fuzzy sphere is the algebra of dim. matrices, covariant with respect to the adjoint action of $\uq$ and in the limit , it re…
Unitary Quantum Physics with Time-Space Noncommutativity
A. P. Balachandran, T. R. Govindarajan, C. Molina +1
In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is…
A Novel Spin-Statistics Theorem in (2 + 1)d Chern-Simons Gravity
A. P. Balachandran, E. Batista, I. P. Costa e Silva +1
It has been known for some time that topological geons in quantum gravity may lead to a complete violation of the canonical spin-statistics relation : there may exist no connection…
The Spin-Statistics Connection in Quantum Gravity
A. P. Balachandran, E. Batista, I. P. Costa e Silva +1
It is well-known that is spite of sharing some properties with conventional particles, topological geons in general violate the spin-statistics theorem. On the other hand, it is ge…