Rule for Predicting Prime Numbers

NEW: "Version 09" UPDATE "-" Version 04 " Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection "-"UPDATE "Lossless Scaling into I11 Using Dynamic Depth" NEW: "Version 08 " UPDATE "-" Version 03 " Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection "-" NEW SECTION "-" Triangle Projection of Prime Resonance in Quantized Space" NEW: "Version 07 "-" UPDATE "-" Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection "-" UPDATE "-" Version 02 "-" Prime prediction Python Code for any (n) "-"UPDATE "-" Example: Scaled Prime Gap in the I 11" NEW: "Version 06" This work, Differential Closure at Eleven: The Complete Grammar of Asymmetry and Its Scale-Invariant Projection, is a secondary publication under this work “Rule for Predicting Prime Numbers” (DOI: https://doi.org/10.5281/zenodo.14991542) It extends the framework and classification introduced there by providing a formal grammar of all asymmetry-generating differentials within the quantized number space. The first publication were originally introduced in “A New Perspective on Infinite Number Spaces through Prime Number Distance and Quantization" DOI: https://doi.org/10.5281/zenodo.14853309). A Deterministic Rule for Prime Number Prediction Using Cyclic Quantization Abstract: This paper presents a novel deterministic method for predicting prime numbers using cyclic quantization. Unlike traditional approaches based on the Riemann Zeta function and complex analysis, this method demonstrates that prime numbers emerge naturally from a structured, modular space. By iteratively reducing numbers using prime number differences and analyzing their resonance properties, a predictable pattern is revealed. The core result shows that excluding the final correction step in the iterative process leads to a 100% accurate classification of prime numbers. This discovery suggests that primes are not distributed randomly but follow a quantizable cyclic order, providing a direct alternative to the Riemann Hypothesis. Full Work: https://doi.org/10.5281/zenodo.14853309 Contact: [email protected] This work is protected under intellectual property laws. Any commercial use, reproduction, modification, or distribution of this material requires prior written permission from the author.