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That's not what a collision is, a collision is two separate generators generating the same private key that points to the same address. Not two different keys pointing to the same address. The private key is the root of an address. The address is simply the hash of that private key.
That's not what a collision is, a collision is two separate generators generating the same private key that points to the same address. Not two different keys pointing to the same address. The private key is the root of an address. The address is simply the hash of that private key.
address is not hash of private key, it is hash of public key. and what you explained (2 different entities find the same address with 2 different keys) is only one type of collision. the other type is indeed 2 different entities finding the same private key. the space they are in are different. the first one is in 160 bit and second is in 256 bit and both of them are huge enough to be considered impossible.
That's not what a collision is, a collision is two separate generators generating the same private key that points to the same address.
There's no way to prove that. But that's more relevant for Large Bitcoin Collider Thread 2.0 than for this topic 