Think of UTXOs as grouped “bits” of value (satoshis) existing in different points in time. What this visualization is showing is the relationship between those bits of value as they move through history and become recombined into new states.
Every UTXO on the input side of this coinjoin could have originated in a completely different block of time, with its own unique causal history. Yet on the output side, those histories are merged into a shared temporal event, the block. New UTXOs are created, and every output now carries a relationship to the same block of time and the same transaction history that produced them.
What is being mapped here is the relationship between time (block height) and memory (key space). Independent histories become linked through a common state transition and emerge with a shared causal ancestry.
This is entanglement properly defined within a verifiable system, as an observable relationship between conserved states across time. Independent histories become correlated through a shared measurement event, and that relationship remains permanently auditable within the ledger.
Bitcoin allows us to see the geometry of conservation directly. The UTXOs are the conserved states of value. The transaction is the shared measurement. The block is the moment (measurement) in time that binds them together into immutable history for eternity of the chain. They are forever linked, verifiably.