A Critical Analysis of the ”Sophy-Peter” Framework Claims: Implications and Is It Just Another Claim, or Something More?

This paper critically analyzes a paper introducing a ”Sophy-Peter” Mathematical Framework in- troduced by Sofiia Ivanko and Peter Farag in May 2024, which proposes a somewhat new approach to number theory by challenging conventional notions of infinity and creating their own mathematical structures. Their work claims to prove the Riemann Hypothesis and disprove the Collatz Conjecture while introducing alternative concepts. This analysis reflects my opinion on why we should give more attention to this paper, as it presents an out of the norm ideas that challenge established thinking. We should not let such innovative concepts go unrecognized. The paper review the mathematics of their framework, highlighting its implications for number theory, mathematical physics, etc. By in- troducing a bounded numerical model and nonlinear growth patterns, the framework offers potential applications in quantum mechanics, pure mathematics, and algorithmic efficiency. However, while the ideas are intriguing, the framework is not without its mathematical challenges, requiring studies and more further investigations, which is encouraged in this review.