If an address collision happens, it'll be because of poor random number generation. The probability of random addresses colliding is so ungodly small that it will never happen in the entire life of bitcoin. The fact that you think it's possible is more demonstrative of the failing of the human mind than the design of bitcoin. The sheer number of addresses is simply unimaginably large.
QFT. The sheer number of addresses is simply
as unfathomably vast as the universe itself.
There are MANY MAGNITUDES more Bitcoin addresses than there are grains of sand on the Earth.
I saw this picture in another thread, this picture is what .
I'm pretty sure it's the sun. I have taken the text from the image using ocr if it would help anyone who needs to translate it.....
Imagine you built a perfect computer; forget about GHash and Megahertz.
You built a computer which used the absolute minimum amount of energy theoretically possible to record a change in a single bit (1 to 0 or 0 to 1).
We are talking about the limits of thermodynamics; nothing more efficient is even possible.
Now imagine you used most of the natural resources in our star system to construct a dyson sphere and covered the entire surface of this sphere with a single star system sized super computer.
Now imagine you could keep this supercomputer cooled at roughly absolute zero and could do so without expending any additional energy.
If you had that and captured (with no inefficiency or loss) the entire energy output of our star (not just in a day or week but continually until it burned out) you couldn't COUNT to 2^256 before you ran out of energy.
Keep in mind this is simply counting.
Just counting, not hashing, not comparing, not performing lookups just counting 1 .. 2 .. 3 .. 2^256.
These numbers have nothing to do with the technology of the devices; they are the maximums that thermodynamics will allow.
And they strongly imply that brute-force attacks against 256-bit keys will be infeasible until computers are built from something other than matter
and occupy something other than space.
Bitcoin — Your money is secured by the laws of the universe.