Flat for energy would be to radiate out, toward infinity.
While flat for information would be to cancel out the positives and negatives, toward the flatline in-between. Equilibrium. Zero to infinity.
Black holes to black body radiation.
As these mobile organisms, this sentient interface our bodies have with their situation functions as a sequence of perceptions, in order to navigate, so our experience of time is the present moving past to future. Yet the evident reality is that action and the resulting change turns future to past. Tomorrow becomes yesterday, because the earth turns.
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.
Energy is "conserved," because it manifests this presence, creating time, as well as temperature, pressure, color and sound. Frequencies and amplitudes, rates and degrees.
So the energy goes past to future, because the patterns generated coalesce and dissolve, future to past. Energy drives the wave, the fluctuations rise and fall.
Consciousness goes past to future, while the perceptions giving it form and structure go future to past. Though it is the digestive system processing the energy, the nervous system sorting the information and the circulation system as feedback between the two.
Galaxies are energy radiating out, as structure coalesces in. Cosmic convection cycles.
Circular, cyclical, reciprocal and feedback generated, not linear.
We are linear, as these tactile, object oriented, bifocal organisms, evolved to swing around branches, adapted to throw sticks.