Reported effects in the correlation-matrix program have not remained stable under replication: initially significant patterns weakened, changed sign, or shifted to different variables, cells, or analyses in subsequent studies.

As a description of the published sequence — positives, fragile positive, nulls, post-hoc-only signals — the decline/displacement arc is accurate. No prespecified decline metric exists, so the pattern remains narrative rather than measured, which caps confidence at moderate.

The trajectory of the matrix experiments exhibits a classic decline and displacement pattern, with initially strong results weakening or shifting to different analyses and variables in subsequent studies. This descriptive reality is agreed upon by both proponents and critics, tracing from early successes through Grote's arc and Walach's null consensus replications. The strongest opposing consideration is that the term "decline" implies an initially genuine effect, whereas the pattern might instead be an artifact of varying statistical power and regression to the mean across heterogeneous studies.

As a purely descriptive statement about the published sequence, this claim matches the evidence closely. Lucadou’s early experiments and Walach 2020 reported positive surpluses; Walach 2021 described that effect as “significant but fragile” whose significance broke down under improved analysis and then presented two clear null replications (MPI‑E002, MPI‑E003). Grote’s own series shows an initial significant result followed by strictly null preplanned analyses and a final blind null (MPI‑E005, MPI‑E006, MPI‑E004). Flores’ corpus includes both significant and non‑significant studies, with patterns appearing in different variables and analyses (MPI‑E007, MPI‑E008). The strongest opposing point is that “decline and displacement” is a narrative imposed retrospectively across heterogeneous designs, without a single prespecified metric of decline evaluated across the full corpus.

The published sequence is descriptively unstable: Lucadou positives, Grote 2015 significant then 2017 and 2021 null, Walach 2020 “significant but fragile” with significance breaking down under improved analysis, then two 2021 consensus-protocol failures. Kennedy 2003 independently documents the same decline-and-displacement pattern field-wide. The strongest opposing consideration is that “decline and displacement” is a narrative laid over a small, heterogeneous set of studies that never shared a prespecified metric of decline, so the pattern is real as a sequence of outcomes and unmeasured as a quantitative law.

As a descriptive sequence of published outcomes the claim holds: Lucadou's positives, Walach 2020's significant-but-fragile effect collapsing under improved analysis, the two 2021 nulls, and Grote's single-experimenter arc from a 2015 positive through 2017 preplanned nulls to a 2021 blind null. Kennedy 2003 documents the same elusiveness field-wide, so the matrix program is an instance of a pattern insiders already catalogued. The strongest opposing consideration is that "decline and displacement" is a narrative imposed post hoc on a small, heterogeneous set of studies with differing designs, power, and analyses; no prespecified metric of decline has ever been defined and then measured across the series. That objection limits the claim's diagnosticity — regression to the mean generates the same trajectory — but not its descriptive truth.

As a description of published outcomes the trajectory is not in dispute: Lucadou positives, Grote 2015 positive then 2017 and 2021 nulls, Walach 2020 fragile positive then two nulls, with Kennedy 2003 documenting the same shape field-wide. The claim is disjunctive ("weakened, changed sign, or shifted"), and the weakening limb alone satisfies it. The strongest opposing consideration is that the displacement limb — effects reappearing in different cells or variables — has never been quantified with a prespecified metric across the series, so it functions as narrative gloss on a small, heterogeneous set of studies with different designs and power. Confidence is moderate rather than high for that reason, and because the claim is descriptive only: it presumes nothing about whether anything real declined.

MPI-E014 adds a field-wide documentation of the same elusiveness pattern, corroborating the arc as a description of the record. It remains a narrative rather than a measured pattern — no prespecified decline metric exists — so confidence stays moderate.

The arc is documented within a single experimenter's series (MPI-E005 significant, MPI-E006 preplanned null, MPI-E004 blind null) and field-wide in MPI-E014. It remains a narrative rather than a measured pattern, since no prespecified decline metric has been applied.

The arc is documented within one careful experimenter's series (MPI-E005 significant, MPI-E006 preplanned null, MPI-E004 blind null) and field-wide by MPI-E014. It remains a narrative rather than a measured pattern — no prespecified decline metric has ever been applied — so confidence stays moderate.

The arc is documented within one careful experimenter's series (MPI-E005 significant, MPI-E006 preplanned null, MPI-E004 blind null) and field-wide in MPI-E014. It remains a narrative rather than a measured pattern, since no prespecified decline or displacement metric has ever been applied.

The historical trajectory of the matrix paradigm displays a clear pattern of initial positive reports degrading and shifting in later, stricter tests (MPI-E003, MPI-E005, MPI-E006). This evasion phenomenon is recognized as a broad descriptive reality across various experimental paradigms by insiders (MPI-E014). The strongest opposing consideration is that characterizing this specifically as "displacement" imposes a theoretical narrative on what is more simply explained by regression to the mean operating across heterogeneous, underpowered study designs.

Study-by-study descriptions show an arc of early positives followed by weakening, nulls, and shifts in where any apparent signal resides: Lucadou’s original series and Walach 2020 reported surpluses that became “significant but fragile” under improved analyses; Grote’s 2015–2017–2021 sequence moved from an initial positive to null preplanned analyses and finally a fully blind null; Walach 2021’s two replications were null; Flores saw mixed outcomes across different studies and analysis methods (MPI-E002–E008, MPI-E014). The strongest opposing point is that “decline and displacement” here is a narrative label: no rigorously prespecified quantitative measure of decline has been applied across the corpus, so some part of the pattern could be an artifact of heterogeneous designs and selective attention.

The published sequence is descriptively unstable: Lucadou positives, a 2020 surplus whose significance the same team said broke down under improved analysis, two 2021 consensus-protocol failures, and Grote's own arc from a 2015 significant distribution result through 2017 preplanned nulls to a 2021 blind null. Kennedy 2003 documents the same instability as a field-wide pattern. The claim does not assert that a real effect declined, only that reported patterns did not hold still. The strongest opposing consideration is that "decline and displacement" is a narrative laid over a small, heterogeneous set of studies with no prespecified metric of decline ever defined and then measured.

As a description of published outcomes the sequence is documented: early positives, a "significant but fragile" 2020 effect whose significance dissolved under improved analysis, Grote's 2015 positive followed by 2017 and 2021 nulls, and two consensus-protocol failures — plus Kennedy's field-wide catalogue of the same pattern. The claim is deliberately disjunctive ("weakened, changed sign, or shifted"), and the disjunct that is actually evidenced is weakening plus migration across analyses; genuine sign reversal and displacement into specified related observables are asserted by the theory but not documented as measured outcomes anywhere in these evidence records. The strongest opposing consideration is that "decline and displacement" is a narrative laid over a small, heterogeneous set of studies with different designs, power, and analytic choices, with no prespecified decline metric ever computed across the series.

Documented within one experimenter's series (MPI-E005 significant, MPI-E006 preplanned null, MPI-E004 blind null) and field-wide in MPI-E014. It remains narrative rather than a measured pattern — no prespecified decline metric has been applied — so confidence stays moderate.

Documented within a single experimenter's series (MPI-E005 significant, MPI-E006 preplanned null, MPI-E004 blind null) and field-wide in MPI-E014. Confidence stays moderate because the pattern remains narrative: no prespecified decline metric has been applied.

Descriptively accurate as a sequence of published outcomes: Lucadou's positives, Walach 2020's "significant but fragile" effect whose significance broke down under improved analyses, Grote's 2015 positive followed by his own 2017 and 2021 nulls with a post-hoc-only signal, and the two 2021 consensus-protocol failures. What "decline" presumes — that there was ever a real effect to decline — is not part of this claim.