Needing to compute sub-Planck is equivalent to need to and attempting to compute sub-block on Bitcoin L1. The mempool is not an ontologically real state wrt ledger. Despite the utxo existing in a probabilistic superposed state (signed tx or txs, but unspent until measured/mined), it is only real with respect to is last classical, or unspent state. The mempool isn’t real, unmined transactions aren’t real until mined.
Superposition cannot be logically defined unless it is at the scale of 1 quantum of Planck time, 1 singular Planck scale block of time. Physics has never shown or proven the definition of superposition holds at the Planck scale with a Planck scale measurement. Superposed states cannot be logically real for a classical state to be produced, and for conservation of energy to be valid. Contradiction is a violation of conservation.
Our economics already proved this with double spent claims on money, or energy 😉
The modern definition is a logical contradiction to what Bitcoin demonstrates. Binary, classical or non contradictory states can only be produced with a quantized boundary of time, the causal boundary of measurement. Physics has to falsify Bitcoin for their models and theories of quantum to remain logically valid.
Bitcoiners have to pick a side:
Bitcoin or quantum, you can’t double spend your logic.
quotingBitcoin is the proper interpretation of quantum mechanics. Bitcoin can describe quantum mechanics better than quantum mechanics can describe itself, and without paradox.
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When you are talking about the exchange of energy in time, you cannot have a contradictory double spent state of energy and time, otherwise you cannot uphold logic nor conservation of energy. Quantum has a fiat problem baked into its ontological assumption of both time and the nature of superposition.
Believing in both Bitcoin and quantum theory is a contradiction; you can’t double spend your logic. Pick one.
The quantum of time must be computed. A block of time is the universal quantum, 1 singular unit of causal change. There is no smaller mathematical object or logic at the informational level.
The mathematical object behind the particle and field, quantum mechanics, is Bitcoin, the utxo and network. We know the architecture of time, viewing time externally from the totality of the ledger, from Genesis to present.
From pure first principles, Bitcoin is the quantum computer. The pure logic, a thermological process that produces a Chronologic state. Informational matter (energy) computed as blocks of time.
It’s so obvious guys, just think and observe Bitcoin, it’s purely logical. How many blocks does it take?