Author's rebuttal: ensemble statistics were correct
The argument
The published significance was computed from the run-to-run spread of the nonseparability measure over the ensemble of experimental repetitions. The extra uncertainty in the critique comes from error bars assigned to wavenumbers that are discrete, exactly known Fourier grid values. The nonseparability inequality holds for any pair of modes, windowed ones included, so a comparison made mode by mode at the grid points needs no horizontal error bars. Together with the critique's other moves (measured mode widths set to zero, a population consistent with zero treated as exactly zero), this shows that the critique rests on technical errors. No sound case for underestimation remains.
Does it work?
- Does it follow?
- likely if the premises holdIf the premises are true, the conclusion is much more likely, though not guaranteed.constitution →
- Do the premises hold?
- 1 inconclusive1 not separately assessed
Suppose the wavenumbers carry no uncertainty that matters for a mode-by-mode test, and the critique's other moves are errors. Then the only published case for underestimation fails. That makes the original error bars more credible but does not prove them complete. The argument depends mainly on the grid-point objection. That objection is sound as a description of the grid but does not on its own show that the finite mode width is irrelevant. It also depends on the critique resting on technical errors, which is currently unsettled.
Premises
- InconclusiveThe evidence and argument have been examined and do not come down on either side.constitution →Leonhardt's statistical critique of the 2016 Technion entanglement analysis rests on technical errors.
- UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →Leonhardt's reanalysis assigned uncertainties to wavenumbers that were discrete and precisely determined in the 2016 Technion experiment.
Where it is made
Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.
No source is recorded as making it.
Earlier ratings
- Jul 19, 2026
If the critique indeed rests on technical errors, the only published case for underestimation collapses and the standard ensemble-based error bars stand, so the inference goes through. The caveat is that this rebuts the critic's argument rather than independently demonstrating the error bars were adequate, and its sole premise is the experiment's own author defending his analysis, a claim that remains unassessed and is itself the mirror of the dispute.