Time-forward irreversible is essential to physics because it is the dimension that accumulates histories attached to existing things. Structure, which is symmetry breaking organized, makes existing things orderly and functional, and thus makes physics developmental and increasingly complex. It is organized history remembered and stabilized.
The essential ingredient in temporally-realized structure is the irreversibility of time. Abstract formalisms can run forward and backwards conceptually. Material things can only build towards life via remembrance of accumulating structure becoming more complex.
Life couldn’t exist if time could run backwards physically, as that would be de-construction of living organisms moving backwards towards the womb, a cataclysm.
If a time machine can reverse time, the scope of its impact will need to be severely restricted.
Identity is self-awareness persistent across irreversible time-forward under lawful transformation. If structure were reversible in time, no life and its sentience.
Mass-Energy curves spacetime, and this curving function of physics causes the symmetry breaking that platforms physics. So, mass-energy assumes symmetry breaking, and with time-irreversible, symmetry breaking builds structure which evolves into the complexity of life.
The (symmetry/asymmetry)asymmetry is a root fundamental with time stabilizing its forward direction towards the organized structures of material dynamism instantiating our environment.
We wouldn’t be here if time were reversible.