This is a brief review where some basic elements of non-commutative geometry are given. The rules and ingredients that enter in the construction of the standard model and grand unification models in non-commutative geometry are summarized. A connection between some space-time supersymmetric theories and non-commutative geometry is made. The advantages and prolems of this direction are discussed.

We introduce quantum heat engines that perform Otto cycle and the Stirling by using a coupled pair of harmonic oscillator as its working substance. In regime, different medium is considered for analysis engine models to boost efficiency cycles. this work, we present in realm where phase space non-commutative nature. By notion thermodynamics, develop thermodynamic variables space. encounter cata...