Cones

Height is always a time unit

Light cone

Projection of cone onto spatial graph is c t

Branch cone (“Quantum branch cone”)

Is projection of cone onto branchial state graph iℏ ?

Rule cone

Projected distance is unit of computational translation effort
[ Previously non-measured computational conversion effort / distance ; cf. constant in algorithmic complexity ]

Hilbert space

The distance in branchial space is between states (e.g. strings or hypergraphs)
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What kind of a space is this?
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Does it have a real norm or something else?
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Consider even distances between strings. Or graphs.
What is a discrete approximation to Hilbert space?

Quantum amplitudes

To get from one quantum state to another, requires follows branches on multiway system
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Linearity from combining paths
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Actual bra-ket requires projecting from one set of states to another: approximated by distance on the branchial state graph.

Quantum reality

Invariance of multiway causal network under projections into different branches

Quantum computing

We have non-determinism in the sense of NDTMs, but not in the sense of randomness
Does this mean we can solve NP problems? No, because of causal invariance. There is a tradeoff between objective reality in QM and the ability to do NP computations.
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What is the relation between NDTMs and confluent systems?
Physically realizable NDTMs are confluent ones?