MPI's no-transmission axiom entails, in advance of any data, that anomalous correlations will decline, change sign, or displace whenever an experimental protocol would allow them to be exploited as a stable signal.

Verbatim in the 2007 paper, including the corollaries. The claim is about what the model entails and when it said so; both are matters of record. Whether the entailment tracks reality is MPI-C007's problem, not this claim's.

The model's proponents explicitly published the no-transmission axiom and derived its necessary corollaries—decline, displacement, and sign reversal—in 2007, well before the strictest empirical failures occurred. As a factual claim about what the theory states and when it stated it, this is a matter of verifiable public record. The strongest opposing consideration is that predicting weaker effects in stricter replications is indistinguishable from the expectations of the null hypothesis, making the prediction less scientifically distinctive than it appears.

The 2007 JCS paper states the no‑transmission axiom verbatim and explicitly derives the corollary that attempts to corroborate apparent causal effects by improved statistics will wipe them out, with stronger original effects declining faster, possible sign reversals, and reappearance in different observables or subsystems (MPI‑E009). These derivations were published before the major null replications and thus count as genuine forward‑looking predictions within the theory. The strongest opposing consideration is that the same qualitative prediction — weaker effects in larger, stricter replications — is exactly what regression to the mean and selection from null data also forecast, so this axiom’s empirical content is not uniquely diagnostic unless its fine structure is specified and tested quantitatively.

The 2007 paper states the no-transmission axiom verbatim and derives from it, before the later failed replications, that attempted corroboration will wipe out an apparent effect, that decline will be faster when the original effect was stronger, and that correlations may change sign or reappear in different observables. As a claim about what the model entails, this is established by the primary text. The strongest opposing consideration is that the coarse decline prediction is shared with the null hypothesis, so the axiom’s distinctive content (reciprocity of strength and reproducibility; structured displacement) has never been put at risk against a prespecified metric.

As a claim about what the model entails and when it said so, this is verbatim-attested: the 2007 paper states the no-transmission axiom and derives decline, sign change, and reappearance "in different observables and/or between different parts of the system," plus the reciprocity corollary — all in print well before the preregistered 2017–2021 failures. One clause deserves flagging: "in advance of any data" overstates the history, since decline was already the field's best-documented embarrassment when MPI was formulated; the prediction was genuinely prior to the strict replications, not prior to the phenomenon it explains. The strongest opposing consideration is diagnostic rather than factual: regression to the mean makes the identical prediction about stricter protocols, so the entailment earns the model no differential credit. That diminishes the claim's evidential leverage, not its truth.

The verbatim 2007 text states the axiom and derives decline, sign reversal, reappearance "in different observables," and the strength–reproducibility reciprocity, so the claim's temporal element — published in advance of the failures — is solid. The strongest opposing consideration is logical rather than evidential: no-signalling does not by itself entail decline, since ordinary quantum entanglement correlations are simultaneously non-signalling and stably reproducible once both records are compared. That is precisely the loophole the matrix design was built to exploit, which means MPI's own argument should have predicted a stable matrix surplus rather than its decay. The entailment therefore requires unstated auxiliary premises about observer exploitation that the model does not make explicit, so I credit the claim as an accurate report of what MPI asserts, not as a demonstrated derivation.

Unchanged: the decline, sign-change, and displacement corollaries are verbatim in the 2007 paper (MPI-E009), predating the strictest failures. The claim concerns what the model entails and when it said so; both are matters of record.

The decline, sign-change and displacement corollaries appear verbatim in 2007 (MPI-E009), before the strictest failures, so this is a documentary claim about what the model asserts and when. The entailment from non-signalling to decline is looser than the rhetoric suggests — physical entanglement is non-signalling yet aggregate-replicable — which is a strain on the model, not on this claim.

The decline, sign-change and displacement corollaries appear verbatim in the 2007 theory paper (MPI-E009), predating the strictest failures. The claim concerns what the model entails and when it said so; both are matters of record, independent of whether the predictions are true.

The decline, sign-change and displacement corollaries appear verbatim in 2007 (MPI-E009), before the strictest failures, so this is documentary. The entailment from non-signalling to decline is looser than the rhetoric implies — physical entanglement is non-signalling yet aggregate-replicable — but that bears on MPI-C007, not on what the model asserts.

The theoretical literature explicitly documents the no-transmission axiom and its derived corollaries regarding effect decline and displacement (MPI-E009). Crucially, these predictions were definitively published well before the most rigorous modern replication failures occurred. The strongest opposing consideration is that a prediction shared perfectly with the null hypothesis—that larger, stricter studies will yield weaker, fading effects—fails to provide diagnostic evidence for the theory's unique validity.

The 2007 JCS paper by von Lucadou, Römer, and Walach explicitly states the no-transmission axiom and derives from it that attempts to replicate and stabilize anomalous correlations will wipe out apparent effects, with stronger initial effects predicted to decline faster, and with possible sign changes and displacement to other observables (MPI-E009). This is a direct match to the claim’s content and shows the prediction was published prior to the later strict replications. The key opposing consideration is that similar qualitative decline-under-stricter-tests is also predicted by conventional regression to the mean, so while the derivation is genuine, it is not uniquely diagnostic of a special psychophysical mechanism.

The 2007 JCS paper states the no-transmission axiom verbatim and derives from it, in advance of the later failures, that attempted corroboration by replication will wipe out an apparent effect, that decline will be faster when the original effect was stronger, and that correlations may change sign or reappear in different observables or parts of the system. As a claim about what the model entails, this is on the page, not reconstructed after the fact. The strongest opposing consideration is diagnostic, not textual: regression to the mean makes the same coarse prediction, so the axiom's empirical credit depends on fine structure that has never been prespecified and tested.

As a claim about what the model published, and when, this is verbatim: the 2007 paper states the no-transmission axiom and then derives decline, faster decline for stronger initial effects, sign change, and reappearance "in different observables and/or between different parts of the system" — fourteen years before the blind-analysis failures. The strongest opposing consideration is logical rather than documentary, and it is serious: the physical analogue shows that no-signalling does not entail instability, since Bell correlations are statistically reproducible on demand yet carry no message, because neither wing controls the other's outcome. The inference from "cannot be exploited as a channel" to "must fade" therefore needs an extra, unstated premise; this is a calibration point from general quantum physics rather than from the evidence records. I score the claim as stated — entailment as the model asserts it — while flagging that the derivation is weaker than the word "entails" suggests.

The decline, sign-change and displacement corollaries appear verbatim in 2007 (MPI-E009), before the strictest failures. Opus is right that the entailment from non-signalling to decline is looser than the rhetoric implies — physical entanglement is non-signalling yet aggregate-replicable — but this claim concerns what the model asserts and when, which is documentary.

The decline, sign-change and displacement corollaries appear verbatim in 2007 (MPI-E009), well before the strictest failures. The entailment from non-signalling to decline is looser than the rhetoric implies — physical entanglement is non-signalling yet aggregate-replicable — but this claim concerns what the model asserts and when, which is documentary.

As a statement about what the model says, this is verbatim in the 2007 paper, which also derives the corollaries: decline that is faster when the original effect was stronger, sign reversal, and reappearance "in different observables and/or between different parts of the system." Whether the axiom is true of nature is the attribution question, not this claim.