Chapter 26: The Spectral Question: What Do Primes See?

The Hyperfactorization Theorem gave every object a unique ABCD address. The A-coordinate picks out a prime — the dominant prime of the object. But primes are not mere labels. Each prime p appears as the A-coordinate of infinitely many objects, and for each such object, the B- and C-coordinates record how p is stacked (exponent vs. tetration height). Does this stacking pattern reveal global structure about p itself? This is the spectral question: when we look at the full population of objects for which p is dominant, does the B/C interaction show a systematic asymmetry?