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6 Results Found

  • Article
  • Open Access
3 Citations
1,979 Views
17 Pages

Neutron Star in Quantized Space-Time

  • Bhagya R,
  • Diganta Parai,
  • E. Harikumar and
  • Suman Kumar Panja

6 February 2024

We construct and analyze a model of a neutron star in a κ-deformed space-time. This is conducted by first deriving the κ-deformed generalization of the Einstein tensor, starting from the non-commutative generalization of the metric tensor...

  • Article
  • Open Access
4 Citations
1,680 Views
18 Pages

Newtonian Cosmology and Evolution of κ-Deformed Universe

  • E. Harikumar,
  • Harsha Sreekumar and
  • Suman Kumar Panja

Considering space-time to be non-commutative, we study the evolution of the universe employing the approach of Newtonian cosmology. Generalizing the conservation of energy and the first law of thermodynamics to κ-deformed space-time, we derive...

  • Article
  • Open Access
20 Citations
2,525 Views
17 Pages

Curved Momentum Space, Locality, and Generalized Space-Time

  • José Manuel Carmona,
  • José Luis Cortés and
  • José Javier Relancio

We establish the correspondence between two apparently unrelated but in fact complementary approaches of a relativistic deformed kinematics: the geometric properties of momentum space and the loss of absolute locality in canonical space-time, which c...

  • Review
  • Open Access
19 Citations
3,350 Views
22 Pages

5 November 2021

Recent work showed that κ-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum gravity phenomenology. Starting from the Poincaré algebra of special-relativistic symmetries,...

  • Article
  • Open Access
11 Citations
2,323 Views
57 Pages

12 July 2021

The Cayley–Klein (CK) formalism is applied to the real algebra so(5) by making use of four graded contraction parameters describing, in a unified setting, 81 Lie algebras, which cover the (anti-)de Sitter, Poincaré, Newtonian and Carrollian algebras....