Mandelbrot Zooms Now Surpass the Scale of the Observable Universe

StartsWithABang writes You're used to real numbers: that is, numbers that can be expressed as a decimal, even if it's an arbitrarily long, non-repeating decimal. There are also complex numbers, which are numbers that have a real part and also an imaginary part. The imaginary part is just like the real part, but is also multiplied by i, or the square root of -1. It's a simple definition: the Mandelbrot set consists of every possible complex number, n, where the sequence n, n^2 + n, (n^2 + n)^2 + n, etc.—where each new term is the prior term, squared, plus n—does not go to either positive or negative infinity. The scale of zoom visualizations now goes well past the limits of the observable Universe, with no signs of loss of complexity at all.

Comments

Re:Ehhh What ?

[ultranova]

A law that is violated in my garden every Spring as the seeds germinate, take root, send up leaves, and decrease atmospheric carbon dioxide.

Plants are engines powered by the Sun. The very purpose of those leaves is to tap the flow of solar energy. When the giant celestial nuclear reactor is taken into account, the entropy of the entire system is increasing.

There is something fundamentally wrong about the fundamental "laws" of thermodynamics. Put succinctly, they fail to take into account that these "laws" do not apply to the observer, who is not necessarily decaying into his constituent parts during the process of observation.

Your body is using an external source of energy - the food you eat - to fight the decay.