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Causal Order Doesn’t Work, Physicists Find. Now what? thumbnail

Causal Order Doesn’t Work, Physicists Find. Now what?

Sabine Hossenfelder·
5 min read

Based on Sabine Hossenfelder's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

A quantum switch can mimic indefinite causal order, but the effect is not automatically certifiable because which-path distinguishability can prevent interference.

Briefing

A new theoretical result argues that if gravity is quantized, the basic “cause comes before effect” structure of physics may fail at a fundamental level. The claim matters because causal order underpins how experiments are interpreted and how physical laws are written; if it cannot exist in a quantum-gravity setting, then even the notion of a well-defined sequence of events may be replaced by something stranger.

The discussion starts with a familiar quantum puzzle: a “quantum switch.” In a setup where a single photon enters a beam splitter, it can take two paths in superposition. Two polarization-changing gadgets are placed on those paths, but their order is effectively swapped depending on which path the photon follows. After recombining the paths in an interferometer, an output signal appears only under conditions consistent with the photon having interacted with the operations in both orders. Some interpretations treat this as evidence for “indefinite causal order,” where it is meaningless to say which operation happened first.

However, the transcript stresses a limitation: the usual quantum-switch interpretation is not “certifiable.” If the photon’s internal state (here, polarization) differs depending on which path it took, the two alternatives may fail to interfere. Restoring interference requires erasing the which-path information—yet doing so prevents a definitive demonstration that the photon truly experienced both orders rather than just one. In that sense, the apparent causal-order ambiguity can be an artifact of how distinguishability is handled.

The new paper’s move is to go beyond these operational loopholes by using general relativity to construct a scenario where gravity itself would generate a genuine superposition of causal structures. The argument imagines particles in a superposition of two locations, with photons passing through a gravitational potential. Because general relativity predicts that light spends different amounts of time depending on the gravitational field, the arrival order of the photons becomes contingent on where the particles are. If the particles are truly in both places at once, then the arrival order cannot be assigned a single definite sequence.

The authors then claim that any attempt to reproduce this behavior with a model that preserves definite causal order runs into a contradiction—there exists no arrangement of mirrors and switches that can make the outcomes consistent with a fixed ordering. The bottom line is framed as a conditional: if a quantum theory of gravity exists, causal order cannot exist. Turned around, the result suggests that maintaining causal order would rule out quantum gravity.

The transcript also notes the practical barrier: the gravitational effects needed for such experiments are minuscule unless one uses enormous mass distributions—“mountains,” in spirit. The result is therefore less about immediate laboratory feasibility and more about what quantum gravity would force physics to give up. The segment ends with a brief NordVPN sponsorship unrelated to the physics.

Cornell Notes

The transcript explains why “indefinite causal order” claims from quantum switches are not fully certifiable: restoring interference typically erases the very which-path information needed to prove the photon experienced both operation orders. A newer theoretical argument aims to bypass that issue by using general relativity. If particles sit in a superposition of locations, the gravitational time delay they induce on photons can make the photons’ arrival order depend on where the particles are. With gravity in superposition, the arrival order becomes genuinely ambiguous. The paper then argues that no model with definite causal order can reproduce the predicted correlations, implying that if gravity is quantum, causal order cannot exist.

What is the “quantum switch” scenario, and why does it seem to challenge causal order?

A single photon is split into two paths by a beam splitter, creating a superposition of “left” and “right.” Polarization-changing gadgets are placed so that the effective order of operations depends on which path the photon takes. After recombining the paths in an interferometer, a detector click at a specific output port occurs only when the photon’s evolution is consistent with both operation orders being relevant. This motivates the idea of “indefinite causal order,” where it’s unclear which operation happened first.

Why is the indefinite-causal-order interpretation described as “not certifiable”?

If the photon’s internal state (e.g., polarization) differs depending on which path it took, the alternatives may not interfere, preventing a clean demonstration of both orders. To recover interference, one must effectively erase which-path information—such as by removing or compensating the operation-dependent polarization differences. But once that information is erased, the experiment can no longer prove the photon truly underwent both orders; it could have gone through either path and still match the interference conditions.

How does general relativity enter the newer argument against definite causal order?

General relativity links mass-energy to spacetime curvature, and curvature affects light’s travel time. The transcript highlights that light going into and out of a gravitational potential takes longer than it would without the potential. If particles that create the potential are in a superposition of two locations, then the gravitational time delay—and thus which photon arrives first—depends on the particles’ position. With the particles in both places at once, the arrival order becomes fundamentally ambiguous.

What does it mean to say no definite causal order model can reproduce the predictions?

The paper claims that, given the gravitationally induced superposition of arrival orders, there is no consistent explanation that preserves a fixed sequence of causes and effects. Even with a complicated arrangement of optical elements (mirrors and switches), the predicted correlations cannot be matched by any framework that assumes definite causal ordering. The transcript summarizes this as a “once and for all” incompatibility with causal order.

What is the practical takeaway about experiments, given the gravitational effects involved?

The required gravitational time delays are extremely small for ordinary laboratory masses. The transcript suggests that meaningful effects would require enormous mass distributions—jokingly framed as “mountains.” So the result is primarily conceptual: it constrains what quantum gravity would have to permit, rather than offering an immediately feasible tabletop test.

Review Questions

  1. How does which-path information in polarization undermine certifying indefinite causal order in a quantum switch?
  2. What role does gravitational time delay play in turning an ambiguous operation order into an ambiguous arrival order?
  3. Why does the argument imply a conflict between quantum gravity and the existence of definite causal order?

Key Points

  1. 1

    A quantum switch can mimic indefinite causal order, but the effect is not automatically certifiable because which-path distinguishability can prevent interference.

  2. 2

    Restoring interference typically requires erasing the information needed to prove the photon experienced both operation orders rather than just one.

  3. 3

    A newer theoretical approach uses general relativity to create a superposition of gravitational time delays that makes photon arrival order depend on where mass is located.

  4. 4

    If mass is in a genuine superposition of positions, the arrival order of photons cannot be assigned a single definite sequence.

  5. 5

    The paper claims that no model preserving definite causal order can reproduce the resulting correlations, even with complex optical arrangements.

  6. 6

    The conclusion is conditional: if gravity is quantum, causal order cannot exist; equivalently, maintaining causal order would disfavor quantum gravity.

  7. 7

    Observable gravitational effects would likely require extremely large masses, making near-term experiments difficult.

Highlights

The “indefinite causal order” from quantum switches is described as “not certifiable” because interference restoration erases the evidence needed to prove both orders occurred.
General relativity supplies the mechanism: gravitational potentials change light travel time, so superposed mass locations can superpose arrival order.
The central claim is stark: with quantum gravity, no definite causal order can consistently account for the predicted outcomes.

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