Our problem with understanding time is that as mobile organisms, this sentient interface our body has with its situation functions as a sequence of perceptions, in order to navigate, so our experience of time is as the point of the present moving past to future. Codified as measures of duration.
The evident reality though, is that change is turning future to past. Tomorrow becomes yesterday, because the earth turns. Duration is the present, as the events coalesce and dissolve.
There is no dimension of time, because the past is consumed by the present, to inform and drive it. Causality and conservation of energy. Cause becomes effect.
Different clocks can run at different rates simply because they are separate actions. Think metabolism.
Culture is about synchronizing society into a larger communal organism, using the same languages, rules and measures, so it might seem like there should be one universal time, but nature is so diverse and yet integrated because everything doesn't march to the beat to the same drummer. It's the spectrum of frequencies, not one universal frequency.
Energy is "conserved,' because it manifests this presence, creating time as well as temperature, pressure, color and sound. Time is rate, temperature is degree. Frequencies and amplitudes.
So the energy goes past to future, because the patterns it generates coalesce and dissolve, future to past. Energy drives the wave, the fluctuations rise and fall. The information is not conserved. The fact it changes is time. Imagine trying to reconstruct a forest from the ashes, after the fire. The energy is gone.
Consciousness also goes past to future, while the perceptions, emotions and thoughts giving it form and structure go future to past. Though it is the digestive system processing the energy and the nervous system sorting the information, with the circulation system as the feedback loop between them. The gut decides, the head advises.
The right brain is more the thermostat and barometer, feeling the energy of the waves building and receding, while the left brain is more the clock and ruler, sorting the forms and patterns created.