@CBO this was a fun one. I think we should be more accurate with the language here. Bitcoin is not a model, or theory of a universe. Bitcoin is a universe perceived from the exterior of the temporal substrate within our universe.
As we push on the limitations of fiat knowledge, we must bend the knee to the realization that a theory of physics, a theory of time or a theory of information can NEVER explain the universe. There can never be a theory of everything. Bitcoin is not a theory of energy, a theory of time or a theory of information, it is energy, time and information instantiated thru physical computation. It’s not theoretical, it’s proof. Bitcoin is not a theory of everything; it’s an instantiation of what everything must logically, temporally, and mathematically look like from the exterior when you strip things down to the base field of information and value. Bitcoin is proof.
If you understand the formal limits that Gödel and Russell established, it should be obvious why a theory can never have explanatory power of the universe. Bitcoin formally solves Turing’s Halting problem through discrete proof of work, and supersedes the limitations of Godel and Russell by instantiating time as a process, coordinate and object. Truth can only be computed in/as time. Knowledge = Truth.
As far a phase space, the UTXO map/territory gives us an empirical reference that is not theory; each new utxo opens up a new phase space bounded by the variables of satoshi balance, fee market, spend/script type, total addresses (people to spend with) and the preference for finite bits/time. It reveals that the utxo set is always transforming, yet the base knowledge is preserved temporally and externally as physical bits. Knowledge is defined by the exterior, not the interior. The interior observes the knowledge, but creation/authorship is external to the chain. For something to remain as knowledge (the jug) it must persist in all blocks of time, it must travel through time to remain as value/knowledge in the present; it can always pay the fee of persistence in time; until it can’t.
You are right, the universe will never break into another horn, or ledger. But the reification of the same logical structure of the horn will emerge within the horn. Bitcoin is the new universe/horn within this universe, as the bits must be preserved physically here. This logic structure would demand that our universe must be fractally embedded within a similar horn preserved as physical bits across decentralized nodes (our universe is prior bitcoin), and Bitcoin/the horn/the ledger is fundamental, it’s all there will be and can be. Explanatory knowledge within explanatory knowledge, with a temporal event horizon, direction influence and authority. Time must halt, yet continue in eternity.
When we just look at the Second Law of Thermodynamics through the lens of the ledger/Bitcoin, it states that satoshis will distribute across an increasing number of UTXOs in/across time. Memory always increases, local consolidation of value is possible, but directionally it will disperse across more utxos, or bits. The satoshis (active state) will distribute across more bits in time. The density of sats per mb^2 decreases across time.
Pull it to the limit of Landauer, and there is no such thing as erasure logically for conservation to be upheld. Erase a UTXO and Bitcoin conserves nothing. Nothing universally can be erased for conservation to uphold; rather the active state transformed. This means that Landauer is measuring state change of the active “utxo” set of matter, with incomplete knowledge of the historical chain. He is measuring the phase transition from active memory/ram (utxo set) to long term enteral memory (pure bits without sats/Kelvin). We cannot see the history without Kelvin. This should be obvious, when you spend information, of course the value is gone. It is not erased, but transformed. Erasure cannot conserve logic, value thus energy. 🫡
https://fountain.fm/episode/Y19w69UuP5JQXM3z7yda