Quantum cycle in relativistic non-commutative space with generalized uncertainty principle correction

Quantum heat cycles and quantum refrigerators are analyzed using various systems as their working mediums. For example, to evaluate the efficiency work done of Carnot cycle in regime, one can consider harmonic oscillator a medium. all these well-defined substances (which commutative space structure), engine is not up mark efficiency. So, inevitable question arise, observe catalytic effect on engines when structure changed? In this paper, two different non-commutative spacetime with relativistic generalized uncertainty principle corrections have been considered for analysis cycles. The gets boost higher values parameter substance. case second medium (one-dimensional infinite potential well), shows constant result structure. • Analysis thermal well space. Boost over commutative. Harmonic outperforms measure