  In this article, we explore the relationship between the existence of closed
timelike curves and energy conditions that occur in the Kerr-Newman spacetime.
To quantify the dependence, we define a correlation index between energy
conditions and closed timelike curves. Based on the inputs from Hawking's
chronology protection conjecture, we analyze two popular variants of
Kerr-Newman spacetime: Non-commutative and Rastall Kerr-Newman spacetimes.
These two models provide complementary scenarios that aid in analyzing
Hawking's statements regarding the correlation of closed timelike curves and
energy conditions from a local and a global perspective. We report the results
outlining the possible role played by violations of energy conditions in
eliminating the closed timelike curves in two contrasting situations, namely in
spacetimes with and without curvature singularities.
