I’ll let you cook. But boundedness is certainly the key to understanding the role of primes IMO.
Check out what we released here in the Architecture of Time; let me know if you see any symmetries. We haven’t focused on primes yet. We have linked Boltzmann and Shannon Entropy through Bitcoin’s block measurement and established the basis for Block Mechanics as the thermological process of how a block, chronon and quantum of time is produced. The unity of entropy unlocks Block Energy in joules and informational matter/mass per Einstein.
It would appear that the informational representation of a qubit and field is actually a UTXO and network when perceived from the opposite side of the temporal casual boundary (event horizon). The mathematical object of the ledger is symmetrical to physical geometry. The event horizon is the equivalent of a physically instantiated encrypted temporal boundary akin to Bitcoin. We possess both the internal (local/subjective) perspective and the external (global ledger/object/objective) perspective. It’s both.
Cheers!
https://bitcoinlens.net/