Reality is not singular, but reality is discrete and as you say, outcomes connected to precursors. The universe is finite in extent and in divisibility and so there are no infinities or infinitesimals. Matter and action are the two primitive dimensions and so it is action and not energy that make up reality. Time simply emerges from the changes that occur and has no independent existence.
There is a temperature of absolute zero, but it is not possible to ever realize T=0 since there is always action. Both time and temperature are convenient objective metrics of the world that people can agree how to measure. Atomic clocks do vary, but the universe decay time is absolute. Action is not rate of change but rather is the product of matter and time or matter and displacement. In other words, both time and space emerge from matter action, not the other way around.
It is pure action than exists, not time or temperature...and remember, energy is simply matter by Einstein's proportionality and does not have a separate existence. There are actually no singularities in the universe, only at its boundaries where they belong, Black holes are simply a manifestation of matter action and do not exist in space time.