Does the paper “A Heuristic Proof of P ≠ NP” actually prove that P ≠ NP?

Question

I saw a paper on eprint that says 'A Heuristic Proof of P ≠ NP', does this mean that P ≠ NP has been proven? The URL of the paper is: https://eprint.iacr.org/2024/2035.

Answer 1

As also indicated in the comments, the attempted proof seems to assume a certain type of algorithm to solve the Add/XNOR problem, which would make the proof invalid.

Peter Shor, in theoretical computer science stack exchange answered the same question as below:

The paper contains the statement:

"The high-degree terms involving products of $x_i$ cannot be simplified or linearized without assigning values to $x_i$. Due to the multiplicative and recursive nature of the equations, isolating $x_i$ or expressing them in terms of other variables is not feasible,"

Shor then concludes:

This seems to indicate that he is (probably without realizing it) assuming a very particular type of algorithm for solving the problem. Thus, this paper does not contain a proof that $P ≠ NP$, and seems very unlikely to lead to one.