The Prime Resonator: Factoring Numbers with Wave Harmony
In an effort to build a better quantum computer... I decided to curve the space where Shor operates. Why? Well, of course it's easier to see the cracks between massive coprimes when you bend the actual number line around the composite... Duh! https://notebooklm.google.com/notebook/236d7a98-3570-460b-8e47-c1715dff86ae Introduction: The Symphony of Numbers Imagine trying to understand a complex piece of music. You could analyze the sheet music note by note, but there's a deeper way: you could listen for the hidden rhythms and harmonies that give the piece its structure. The mathematical problem of finding the prime factors of a large number, N , is much the same. It’s not just a calculation; it’s a search for a hidden rhythm. The Prime Resonator model proposes that we can find a number's factors by measuring the resonant overlap between two fundamental patterns: the unique rhythm of the number itself and the universal 'hum' of all prime numbers. This approach builds...