Nick,
May I present a basic physical/neurological thesis;
Reality is a dichotomy of energy and information. Energy manifests information and information defines energy. The tension of this dichotomy is that energy is inherently dynamic, while information is necessarily static(distinctions, framing, modeling, words, concepts, etc.) Since energy is conserved, old information is erased in order to create new. This creates the changing configuration of what exists, which we experience as time.
Given billions of years of evolution, living beings have evolved central nervous systems to process information and digestive, respiratory and circulatory systems to process energy.
The central nervous system is then divided into two sides; The left, linear, logical side and the right, scalar/parallel, intuitive side. The linear side processes sequence and is responsible for the narrative construct and causal logical. While the intuitive side operates more like a pressure cooker, in that lots of information is thrown in the pot and what rises to the level of consciousness are the sparks of connectivity and 'insight.'
In a direct sense then, these two sides operate under the functions of time and temperature. The linear side organizes sequence, while the thermostat function processes broader environmental feedback. As a basic mobile organism, these serve to compute the environment and to calculate a particular path through it.
One of our current conceptual mysteries is understanding the function of time. Since we experience it as a sequence of events and our social structures are based on group narrative, this linear progression from past to future seems pretty fundamental, but the underlaying process is the change causing future to become past. Tomorrow becomes yesterday. Sequence is then just subjective, not universal.
Some assume the future must already be determined, because the laws of causality only yield one outcome of many possibilities and so logically project this out to all future action. Meanwhile some quantum theorists take the opposite tack and consider the past to remain probabilistic, by branching off with every possibility, into multiworlds. Yet looking at this relationship from the opposite direction, it makes much more sense, as probability precedes actuality. While the laws determining the outcome are necessarily deterministic, the full input into any event only happens with its occurrence. The actual, physical events determine the cat's fate and then the outcome of that determination recedes into the past.
Time is to temperature what frequency is to amplitude. The reason different clocks run at different rates is simply because they are different physical processes in different circumstances. We think of temperature in terms of the cumulative average of lots of individual actions and overlook that the amplitude/velocity of each of these actions is a specific energy level. Now the quest with time has been to find that absolute rate of 'flow,' but all we find are individual motions and the only universal measure is the average of the cumulative effect. Just like temperature. Not to mention that our bodies are metabolic thermostats. Frequency and amplitude.
Regards,
John M