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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.
A zoom into a fractal stored as a 16-minute YouTube video must be the least efficient way to store an equation. If only there was some sort of a 'fractal compression' method.
You can't shut us down! The Internet is about the free exchange and sale of other people's ideas!
And you think the universe isn't broken NOW? Good god, man. Wake up!
rewriting history since 2109
You're talking about people who sincerely believe that in a black hole, "loss of information," a completely human-created concept, is some sort of law of physics. They also think they can measure all the mass and energy in the entire universe even though some of it isn't observable. Astrophysicists aren't exactly logical.
I know, right? These "scientists" can't even wrap their heads around the infinite mysteries. I think it's because a lot of them are Gemini's.
persay
That's per se. Go and stand on the naughty step with "peak" guy from the previous post.
Do they germinate, take root, send up leaves, and decrease atmospheric dioxide... in the DARK? Entropy always increases within a closed system, but I suspect your "closed system" has a window open somewhere.