Can a Public Key Be Used to Deduce the Private Key?
No, a public key cannot be used to deduce the private key. The relationship between the two is based on elliptic curve cryptography, which is a one-way mathematical function.
While the private key can easily generate the public key, reversing the process to find the private key from the public key is computationally infeasible. This cryptographic asymmetry is fundamental to the security of the Bitcoin network.