Question

#3. a) The human brain, assuming it were approximately spherical, would have a radius of about 6.7 centimeters and a mass of about 1.5 kilograms. Given these values, there is a number such that, simply by actually storing this number in your brain (a.k.a "just thinking it"), your brain should immediately collapse into a black hole. Calculate this number (don't worry, you're only going to represent it with some symbols, like how there's no danger in writing ). b) The "observable universe" is defined by the distance that light has had time to travel since the big bang. By definition, this defines a “bubble" which contains everything we can ever interact with or which could have ever interacted with us. It has a radius of about 46.5 billion light-years (figure it out if the units confuse you). The amount of "ordinary matter" in the universe weighs about 4.5 10A51 kilograms. How many bits can be computed with all of the ordinary matter in the universe? Instead of just the ordinary matter, we can include the mass-energy that appears to be contained c) in space-time itself, and we get an energy density for the universe of about 9.9*10A-27 kilograms per cubic meter (yes, I just gave you an energy density in terms of mass-deal) and the volume of our little bubble is about 4 10A80 meters cubed. How many bits can you store in the observable universe itself before the entire thing collapses into a black hole?

Answer 1

43 x medey 42. 2. 59 X10'L bits. Radius = 46, 5 bụicn light year = 465xlog Light Year hs = 46.5x19 x9:461x(015meter 26 = 4.40x10 meter 43 2.577 x 10", bits x 4.40 x(meter 12l 1-5-10x1001 bits x4x 10 Let us anaume the bubble is Spherial with Yadius r' Its valune u γ _ 4.57 x 1020 meter. 3

I 2.577*104.57 102 3.96 10*4 bits 4.66 101bits 124 1