An unwinding fractal (fractal decompression)
I was recently reading some disconnected scientific writings. A few ideas in them "connected" together in my mind. I'm not really qualified to comment on the science, but I thought I'd just share my idle speculations...
I was reading about the Second Law of Thermodynamics, being the gradual accretion of entropy within any system, being described as like an unwinding clockwork mechanism.
A little while previously, I had been reading about a scientific researcher who was examining the idea that quantum mechanics could potentially be rendered un-necessary by considering whether Newtonian mechanics could not be re-cast with a fractal geometry.
I took this to mean that instead of the traditional conception of a line (or surface), that line is, to use an informal term, "crinkly" at small scales. Fractals are very common in nature, and recursion is almost always elegant.
Then, my thoughts started wandering to two topics (a) the expansion of the universe and (b) the cosmological constant. What if we considered the idea of a fractal geometry more seriously, and imagined that not only may our surfaces be crinkly, they may be un-crinkling. Like ironing a shirt, blowing up a balloon, or stretching out elastic, perhaps spacetime itself is expanding as a result of becoming smoother.
What if the entire universe were infinitely crinkly at the beginning of the universe, like like a compressed spring? Then, as time has gone by, the rate of expansion has slowed as the spring has flattened out. Of course, I think the rate of expansion is currently thought to be increasing somewhat (while being significantly lower than t=0), which doesn't quite sit.
I'm not proposing, of course, that the 2nd Law is the actual same thing as what, for want of a better term, might be called "fractal decompression". It's the chain of reasoning which is connected in my mind, not the physical forces involved. However one contributor towards the degree of entropy is the expansion of the universe (expansion encourages uniformity by decreasing contrast).
In any case, I want again to profess my lack of mathematical and physical understanding of the issues. I'm purely exploring an analogical line of reasoning...
p.s. First Post in Two Years!