The Chirality Trinity: Chirality, Chirality Prime and Time Chirality

Abstract: The flow of time moves in one direction in any spatial position and orientation in this universe. Chiral objects, which lack mirror symmetry, retain their chirality regardless of their position or orientation. Despite being seemingly independent, time and chirality share common features such as universality -- applying to 'any position and orientation' -- and a binary nature, such as forward/backward time flow versus left/right chirality. We introduce the concept of Time Chirality and discuss the conjugate relationship between time chirality and traditional chirality. We explore how time chirality can manifest in certain magnetic states, and examine the novel physical phenomena associated with time-chiral magnetic states. This discussion offers a fresh perspective on true time reversal symmetry breaking and temporal nonreciprocity.