Prime Numbers and the TGIU Framework: A Unified Interpretation via Informational Collapse

The apparent randomness of prime numbers has long fascinated mathematicians. Recent discoveries in number theory suggest unexpected structures—such as alignments in Ulam spirals, partition symmetries, or harmonic decompositions. This paper proposes a unifying perspective using the TGIU framework, where prime behavior emerges naturally as a signature of informational collapse. We identify five major mappings from prime number structures to TGIU principles, offering predictive, structural, and cosmological relevance.