Summary of strand quantum theory
Strands provide a microscopic model for wave functions. Wave functions arise as averages of crossing switches. This model allows deriving, from a single principle, the Schrödinger equation, the Pauli equation and the Dirac equation. The model explains spin 1/2, fermion behaviour, countable particles, mass and interactions. The model fully agrees with conventional quantum theory and with experiments. Those aspects that go beyond conventional quantum theory agree with experiments as well.
Testable predictions of strand quantum theory
Neutrino masses have normal order.
No physics beyond the standard model or beyond general relativity occurs.
In nature, there is a limit on the modulus of any wave function, given by the smallest length to the power -3/2. There is a corresponding limit on the probability density.
No trans-Planckian effects of any kind occur.
There are no higher (or lower) dimensions. There is no supersymmetry. Dark matter is not made of unkown elementary particles.
Fundamental constants – elementary particle masses, mixing angles, and coupling constants – can be calculated.
The fascination of strand quantum theory
Every atom, every basket ball and every person is tethered.
Everything is connected to everything else.
Nature consists of a single strand.
Strands imply that `every thing' is made of `everything'.
Similar ideas by other authors
So far, apart from the work by Battey-Pratt and Racey, I found no similar ideas in all literature searches I performed. Not even the researchers working on emergent quantum theory published anything similar. But I might have overseen something.
Bets and future tests
In science, every statement must be checked continuously, again and again. This is ongoing. A sweeping statement like "strands explain wave functions" must be checked with particular care. If you have a counterargument or notice a missing issue, just send a note.
The proposed predictions and bets are quite general. Finding any single observation falsifying the strand conjecture, or finding any alternative, correct and inequivalent description of wave functions – or of nature – wins the bet.
It might well be that the similarities between strand gravity and strand particle entanglement can be used to deduce interesting connections between the two effects. This is a topic for the future. (See, e.g., https://journals.aps.org/prd/abstract/10.1103/PhysRevD.105.086001)
If one does not risk to make a fool of oneself, there is no progress.