Wave packets asymptotics in κ-minkowski space

@misc{adith2026wave,
  title = {{Wave packets asymptotics in $κ$-minkowski space}},
  author = {Adith A and A. Bhagwat},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12331},
  eprint = {2610.12331},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12331},
}

TY  - UNPB
TI  - Wave packets asymptotics in κ-minkowski space
AU  - Adith A
AU  - A. Bhagwat
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12331
UR  - https://arxiv.org/abs/2610.12331
AB  - In this paper, we study the nature of wave packets and their decay behavior in the κ-Minkowski space. We employ techniques from singularity theory throughout our analysis. Specifically, we use methods from the theory of Lagrangian singularities and caustics to study the topology of the energy-level manifold. The Newton polyhedron method from the theory of oscillatory integrals is applied to analyze the decay behavior of wave packets. We find that for a generic Hamiltonian in the κ-Minkowski space, the associated wave packets exhibit different decay rates depending on the control parameter of the system. When the control parameter takes values on the cusp, the system exhibits decay of order t^−1/4; otherwise, it exhibits decay of order t^−1/2. This distinctive behavior of wave packets in the κ-Minkowski makes it fundamentally different from commutative spacetime.
ER  -