Prime numbers correction and Clarification

Correction and ClarificationThis paper supersedes my March 5, 2026 publication "Prime Number Structure as Standing Wave Resonance: A Topological and Wave-Mechanical Framework."Statement of ErrorThe original paper presented geometric structure in prime distribution using "wave-mechanical" terminology including standing waves, resonance, frequency, propagation, and interference. While the paper included a disclaimer that this language provided "analytical tools for describing structural patterns," the extensive use of wave mechanics terminology created the misleading impression that primes exhibit actual physical wave behavior.This was an error in formalization, not in observation.What Actually HappenedI visualize mathematical structures geometrically and spatially—this is my native cognitive mode. When exploring prime distribution, I saw helical patterns with forbidden angular regions that maintained perfect structural consistency across scales. During the research process, I asked exploratory questions: "Does this behavior resemble standing waves?" "Could this be resonance?" "Is there interference?"These were productive metaphors for articulating what I was seeing geometrically. However, in the formalization process, these metaphorical questions became structural claims. The "wave mechanics" framework is an artifact of the discovery process, not a description of underlying mathematical reality. This paper address what the math actually shows.