Is the area/volume constraint in space related to the one in organisms? The latter I can understand intuitively as a function of scaling metabolic rates for di

Is the area/volume constraint in space related to the one in organisms? The latter I can understand intuitively as a function of scaling metabolic rates for different organism sizes. Specifically, there's some power-law relationship between growing volume and area[1], which means you require proportionally more metabolism (energy production) as you get smaller because your surface heat loss is smaller, to maintain the same heat rate as a larger animal. I think there might be a rough analogy/relationship to space if we think of heat loss in terms of increasing entropy/loss-of-information, and the higher probability of low energy/low-information states in a volume over time? But, I don't have enough physics knowledge to know if this is the right way to think about it... [1] This is the rough intuition, but the actual exponent is not consistent with square-cube rate: https://en.wikipedia.org/wiki/Kleiber%27s_law https://en.wikipedia.org/wiki/Kleiber%27s_law.