The various proofs that a local, deterministic theory is impossible all rest on the assumption that the quantum waves move in the forward direction.
Indeed, a local, deterministic theory based on forward waves IS impossible (which constitutes proof that the quantum waves don't move in the forward direction).
The key experiment is the Innsbruck experiment.
With forward waves, the two photon "wave-particles" travel out from the source to the two polarizers. The waves then interfere between one another--nonlocally--at the polarizers. No theory is possible in which parameters carried by the particles themselves determine the outcome at the polarizers, as proved by Bell. In such a "classical" theory the wave interference between the two polarizers would play no role.
However, in TEW the waves move in from the polarizers to the particle source.
The interference occurs at the source--locally.
Furthermore, the result of the interference is not that the particles then have parameters assigned to them that subsequently determine the outcome at the polarizers; this would take one right back to a contradiction of Bell's theorem.
Instead, what occurs is that the particles, upon emission, are attached to specific waves--the polarization as such is determined at the particle source. From that point on the particles merely follow their waves. Nothing is left to be determined at the polarizers; Bell's theorem is inapplicable; there are no variables at the polarizers to which Bell's theorem might apply. The only parameters carried by the particles are those by virtue of which the particles follow their particular waves. The parameters determining the ultimate outcome at the polarizers never leave the particle source. Once those parameters attach the particles to particular waves, their job is done.
The particles must, of course, carry "parameters" that determine their behavior--their behavior doesn't result from nothing--but those parameters, again, are merely those by virtue of which the particles are attached to their waves. Those parameters do not include the polarization. Only the waves are polarized, not the particles. A particle is said to be polarized solely by virtue of its being attached to a polarized wave.
As shown in Chap. 5 of my book, the "uncertainty principle" itself is the product of the forward-wave assumption. It is that (false) principle that leads one to believe that the particles travel from the source to the polarizers in no state in particular, thus requiring that something occur at the polarizers to put the particles into the state observed. In TEW the particles always travel in one specific state. There is nothing left to be determined at the polarizers.
Waves at all polarizations impinge on the source from both sides. For every pair of mutually perpendicular waves that might be "selected" by a specific orientation of a polarizer, the particle, upon emission, is "attached" to one or the other of the two waves. When a specific orientation is selected--including selections made in a delayed manner--the particle simply follows the one wave to which it is attached.
Classical theories, such as those refuted by Bell's theorem, omit the waves; TEW does not. In TEW, all particle dynamics is wave-based.
In conclusion, I must object to the term "hidden variables." This terminology implies some sort of mysterious, unseen parameters that, ghost-like, determine how a particle behaves. If a parameter were genuinely "hidden," we would--by definition--see no effects of it, and thus would be unconcerned with its (invalidly alleged) existence. But the variables involved in the TEW explanation of Innsbruck do have observed effects, namely, the outcome of the Innsbruck experiment. They thus should not be described as "hidden."
Historically, a "hidden variables theory" meant a theory in which quantum mechanics is a correct theory, with "hidden variables" then somehow removing the uncertainties from that theory. TEW is not such a theory. TEW maintains that quantum mechanics is MISTAKEN, not merely "incomplete" as Einstein maintained.
[Moderator: To emphasize and highlight, some line & paragraph breaks added and some words made bold.]