What occurs to bitcoin if math is located that makes reversing multiplication, modular math, and so on, simple to opposite in a couple of steps?
All of those are already simple.
Reversing elliptic curve level multiplication, is on the other hand thought to be laborious. That is the cryptographic hardness assumption that underlies Bitcoin’s signature algorithms, ECDSA and Schnorr. If that adjustments, new cryptography will wish to be followed. If those breakthroughs occur briefly and hastily ahead of migrations can occur, Bitcoin customers could also be affected.
What if DH exhanges will also be decoded virtually as speedy as they may be able to occur?
Bitcoin does not lately use Diffie-Hellman any place within the protocol, despite the fact that BIP324 proposes it for shipping encryption. This is able to be really easy to improve, and coffee affect if damaged.
Would bitcoin pay to stay this out of public? (In actual cash, in fact)
Bitcoin is a foreign money, no longer an entity that may make a choice to pay the rest, in no matter foreign money. Hypothetically, some bitcoin customers could also be incentivized to forestall cryptographic breaks that may have an effect on the device turning into public, however I can’t talk for them.