You might be confusing a few things:

- Your use the term probabilistic here isn’t appropriate as one could know the future state of a given UTXO before a block is added to the chain. Colluding with every miner would allow this.

- A UTXO doesn’t evolve as a function of time. It is created and destroyed, this without a causal link to time or block height.

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Still probabilistic. You still don’t know who will mine a block unless you absolutely control 100% of the hash with pure certainty. And that would also require a singular entity/observer always deciding which transactions are included or which qubits are measured. Why is the starting to sound like traditional quantum computing?

What do you mean without a link to time? You know deterministically when a UTXO was occupying a point in space (memory) and when it was not; full history

The day you can show one of your UTXO spend itself at random without you initiating a transaction then maybe it’s quantum (more likely you have been hacked).

Really check your definition of “probabilistic”

That’s not what I am saying. Yes you have absolute certainty about your UTXOs only because you are the owner and controller. No other UTXO will have absolute certainty and its location in the next block is probabilistic. I’m talking about the entire UTXO set.

And regardless, you can broadcast a transaction with high fees and not get mined; it’s still probabilistic even when visibly broadcasted to people’s mempool.