RNG

RNG / Micro-PK Research on ESP-Nexus

A note on coverage first: the ESP-Nexus library’s share of the published literature on RNG micro-PK has not been measured. What follows summarizes the 39 studies and 43 result rows currently in the library — treat this as a snapshot of what the library holds, not a settled account of the full field.

What RNGs are in this context

Random Number Generators (RNGs), also called Random Event Generators (REGs) in parapsychology, are electronic or computer-based devices that produce statistically unpredictable binary outputs. In psi research, they serve as the target system: a participant attempts to mentally bias the output in a pre-specified direction, and the deviation from expected randomness is measured. The paradigm is called micro-PK (microscopic psychokinesis) because any detected effect is vanishingly small — a shift in the probability of a binary “1” on the order of fractions of a percent.

What the library’s evidence shows

The 43 result rows in the library span studies from 1989 through 2025 and report a mix of outcomes — positive, null, and below-chance — across several non-comparable metrics (standardized effect sizes, raw hit rates, z-scores, p-values, and correlations). These metrics cannot be averaged or pooled into a single bottom-line figure.

Here is a structured view of selected results across the evidence base:

StudyMetric reportedDirectionKey figureN
Williams (2021)z (pooled, k=42)Positivez = 6.82, p = 4.57 × 10⁻¹²
Mossbridge (2021)p-valuePositivep < 0.00170,165 trials
Collesso (2021)Cohen’s dPositived = 0.49, p = .0130,000 trials / 30 participants
Dechamps (2021)Hit ratePositivehit rate = 0.505, p = .00281,840 trials / 4,092 participants
Dechamps (2025)Cohen’s dPositived = 0.09, hit rate = 0.5916,020 trials / 801 participants
Jakob (2024)Hit ratePositivehit rate = 0.506, p < .00142,000 trials / 1,400 participants
Vares (2013)Pearson rPositiver = 0.185, p < .001743 sessions
Bösch (2006)Proportion index πBelow chanceπ ≈ 0.50, z = −3.67, p < .001k = 380 studies
Maier (2022)Pearson rNullr = 0.012,052 participants
Pisoni (2024)p-valueNullp = 0.21216,000 trials
Penberthy (2024)zNullz = −0.0013, p = .49951,796 trials
Alexander (2019)Slope/correlationNullES = 0.024, p = 0.3127,000 trials / 13 operators
Grote (2017)p-value (combined)Nullp = 0.31520 participants
Lumsden-Cook (2006)p-valueMixedp = .009 (non-directional)80 trials / 20 participants
Unsettled signals — these must be taken seriously

Direction disagreement is the central unsettled feature of this evidence base. Fourteen of the 43 result rows report a null or below-chance result. The Bösch (2006) meta-analysis — the largest aggregate in the library at k = 380 intentional studies — returned a below-chance overall effect (z = −3.67), not a positive one. Williams (2021) pooled a more recent and smaller set (k = 42 retro-PK studies) and found a strongly positive aggregate. These two pooled estimates point in opposite directions and are not reconcilable by the figures alone.

Heterogeneity is also a live issue: effect sizes vary widely across experiments, and Maier (2022)’s preregistered primary result — a correlation of r = 0.01 across 2,052 participants — stands in sharp contrast to the positive results reported by Collesso (2021) and Dechamps (2025) under similar micro-PK framing.

Decline effects have been noted in the broader literature. A review by Williams notes a significant trend (p < .03) across z-scores of 264 RNG-PK experiments from 1959 to 1987, where scores first rose and then fell over time — a pattern sometimes called a “parabolic” decline.

Small effects and file-drawer risk: even positive results in this area typically report effect sizes on the order of a fraction of a percent shift in hit rate. The practical consequence is that very large trial counts are required to detect them, and the literature’s positive results are sensitive to publication bias.

Theoretical context

Two contrasting frameworks are active in the library. The conventional micro-PK interpretation holds that intention directly perturbs a physical random process. Edwin C. May’s Decision Augmentation Theory (DAT) reframes the same data as goal-directed information acquisition — participants unconsciously select when to engage with an already-favorable RNG output rather than altering the output itself. The DAT and RNG research page covers this in depth.

Roger D. Nelson and colleagues at Princeton’s PEAR laboratory ran one of the longest systematic programs testing whether operator intention could correlate with detectable REG deviations; Alexander (2019) — a study covering PEAR operators — returned a null combined result (ES = 0.024, p = 0.3) across 127,000 trials. Nelson’s full research context is on his ESP-Nexus profile.

Skeptical critiques

What critics argue. The standard methodological objection to RNG micro-PK research is that the effects, when they appear, are so small that they fall within the range explainable by publication bias, optional stopping, or subtle hardware non-randomness — not genuine mental influence. Bösch, Steinkamp, and Boller (2006) made this case quantitatively: their meta-analysis of k = 380 studies found the overall effect was below the chance baseline rather than above it, and they argued that the positive results in the literature were an artifact of small-study bias (smaller studies showed larger effects, which is a signature of publication bias).

What the experimental data show. Williams (2021) pooled a subset of retro-PK RNG studies and reported a strongly positive aggregate (z = 6.82, p = 4.57 × 10⁻¹²). Mossbridge (2021) reported p < 0.001 in a preregistered confirmatory micro-PK run. Against this, Maier (2022)’s preregistered primary test — expressly designed to avoid optional stopping — returned r = 0.01. Pisoni (2024)’s reanalysis of a three-way interaction returned p = 0.21.

Analysis. The disagreement between Bösch (2006)’s below-chance pooled result and Williams (2021)’s positive pooled result has not been resolved in the retrieved sources — the two analyses draw on overlapping but not identical study sets and use different inclusion criteria. Preregistered replications with sufficient power (Maier 2022, Pisoni 2024) have so far returned null primary results, while some preregistered confirmatory analyses (Mossbridge 2021) have returned positive ones. Independent large-scale preregistered replication outside any single laboratory group remains an open item in the literature.

For a fuller quantitative digest — all 39 studies with figures traceable to their sources — see the Micro-PK (RNG/REG) evidence page, and for methodological background on how RNG experiments are designed and analyzed, see the RNG/Micro-PK Research methods page.

The studies behind this answer
PaperReported findingEffect / significanceBasis
Dechamps et al. (2025), Journal of Scientific Exploration [source]Lucky condition – micro-PK toward 50%.ES 0.09, hit rate 0.59N = 16020 trials; 801 participants
Pisoni et al. (2024), Cortex [source]Re-run unweighted ANOVA – three-way Stimulation x Intention x Direction interaction.p = .21N = 216000 trials; 108 participants
Jakob et al. (2024), Journal of Anomalous Experience and Cognition (JAEX) [source]DE-PT high scorers.p < .001, hit rate 0.506N = 42000 trials; 1400 participants
Penberthy et al. (2024), Journal of Scientific Exploration [source]RNG psi task – Meditation Cohort 1.z = -0.0013, p = .4995N = 1796 trials
Maier et al. (2022), Journal of Scientific Exploration [source]Preregistered primary: Correlation between experimental and control condition micro-PK scores.ES 0.01N = 2052 participants
Maier et al. (2022), Journal of Anomalous Experience and Cognition (JAEX) [source]Study 1: C-reduced-subjective.N = 884 participants
Williams (2021), Journal of Scientific Exploration [source]Updated retro-PK RNG pooled estimate.z = 6.82, p = 4.6 × 10−1242 studies
Collesso et al. (2021), Journal of Scientific Exploration [source]Experiment 2 – intended-direction REG deviation.ES 0.49, p = .01N = 30000 trials; 30 participants
Grote (2021), Journal of Scientific Exploration [source]Experiment 1 – main CMM matrix.p = .76N = 200 participants
Mossbridge et al. (2021), Journal of Anomalous Experience and Cognition (JAEX) [source]Heart Quest micro-PK: reference bit zeros excess, second batch.p < .001N = 70165 trials
Radin et al. (2021), Journal of Anomalous Experience and Cognition [source]All four lab experiments combined.p < .0174 studies
Dechamps et al. (2021), Journal of Anomalous Experience and Cognition (JAEX) [source]Study 1 – Positive Priming Condition.p = .002, hit rate 0.505N = 81840 trials; 4092 participants
Alexander (2019), Journal of Scientific Exploration [source]Bit-wise effect – combined results of all operators.p = .3N = 127000 trials; 13 participants
Dechamps et al. (2019), Journal of Scientific Exploration [source]Study 3 – Smokers.hit rate 0.49775N = 81200 trials; 203 participants
Maier et al. (2018), Journal of Scientific Exploration [source]Study 1 – Smokers.N = 48800 trials; 122 participants
Maier et al. (2018), Journal of Scientific Exploration [source]Study 1 – Smokers.N = 400 trials; 122 participants
Grote (2017), Journal of Scientific Exploration [source]Analysis 1 – distribution of 20 participant hit-rate z-scores.p = .438N = 20 participants
Vares et al. (2013), Journal of Nonlocality [source]Stepwise multiple regression: hourly RNG z-score predicted by antecedent photon density.ES 0.185, p < .001N = 743 sessions
Bösch et al. (2006), Psychological Bulletin [source]Overall FEM — all 380 intentional studies.ES 0.499997, z = -3.67, p < .001380 studies
Lumsden-Cook et al. (2006), Journal of the Society for Psychical ResearchIzangoma healing/intention condition – non-directional analysis.p = .009N = 80 trials; 20 participants
Source: ESP-Nexus structured study database (39 studies; the table shows the 20 highest-ranked). ESP-Nexus reports what each study found and takes no position on whether the effects are genuine.
References
  1. Dechamps, M. C., Iovine, C. G. N., & Maier, M. A. (2025). Psi Effects as a Result of Implicit Expectations About Probabilities – Investigating Micro-PK with a Biased Baseline. Journal of Scientific Exploration, 39(3), 279–285. https://doi.org/10.31275/20253571
  2. Pisoni, A., Arrigoni, E., Bolognini, N., Guidali, G., Lauro, L. R., & Vergallito, A. (2024). Enhanced mind-matter interactions following rTMS induced frontal lobe inhibition [Commentary]. Cortex, 1–4. https://doi.org/10.1016/j.cortex.2023.12.003
  3. Jakob, M., Dechamps, M. C., & Maier, M. A. (2024). Testing the Effects of Personality-Related Beliefs on Micro-PK. Journal of Anomalous Experience and Cognition (JAEX), 4(1), 34–59. https://doi.org/10.31156/jaex.23809
  4. Penberthy, J. K., Garcia Claro, H., Kalelioglu, T., Centeno, C., Ladoni, A., Ragone, E., Rowley, C., & Hanchak, E. (2024). Impact of Meditation Versus Exercise on Psychological Characteristics, Paranormal Experiences, and Beliefs: Randomized Trial. Journal of Scientific Exploration, 38(1), 28–41. https://doi.org/10.31275/20242849
  5. Maier, M. A., & Dechamps, M. C. (2022). A Pre-Registered Test of a Correlational Micro-PK Effect: Efforts to Learn from a Failure to “Replicate”. Journal of Scientific Exploration, 36(2), 251–263. https://doi.org/10.31275/20222235
  6. Maier, M. A., Dechamps, M. C., & Rabeyron, T. (2022). Quantum Measurement as Pragmatic Information Transfer: Observer Effects on (S)Objective Reality Formation. Journal of Anomalous Experience and Cognition (JAEX), 2(1), 16–48. https://doi.org/10.31156/jaex.23535
  7. Williams, B. J. (2021). Minding the Matter of Psychokinesis: A Review of Proof- and Process-Oriented Experimental Findings Related to Mental Influence on Random Number Generators. Journal of Scientific Exploration, 35(4), 829–932. https://doi.org/10.31275/20212359
  8. Collesso, T., Forrester, M., & Barušs, I. (2021). The Effects of Meditation and Visualization on the Direct Mental Influence of Random Event Generators. Journal of Scientific Exploration, 35(2), 311–344. https://doi.org/10.31275/20211891
  9. Grote, H. (2021). Mind-Matter Entanglement Correlations: Blind Analysis of a New Correlation Matrix Experiment. Journal of Scientific Exploration, 35(2), 287–310. https://doi.org/10.31275/20211931
  10. Mossbridge, J., & Radin, D. (2021). Psi Performance as a Function of Demographic and Personality Factors in Smartphone-Based Tests: Using a ‘Search’ Approach. Journal of Anomalous Experience and Cognition (JAEX), 1(1-2), 78–113. https://doi.org/10.31156/jaex.23419
  11. Radin, D., Bancel, P. A., & Delorme, A. (2021). Psychophysical Interactions with Entangled Photons: Five Exploratory Experiments. Journal of Anomalous Experience and Cognition, 1(1-2), 9–54. https://doi.org/10.31156/23392
  12. Dechamps, M. C., Maier, M. A., Pflitsch, M., & Duggan, M. (2021). Observer Dependent Biases of Quantum Randomness: Effect Stability and Replicability. Journal of Anomalous Experience and Cognition (JAEX), 1(1-2), 114–155. https://doi.org/10.31156/jaex.23205
  13. Alexander, K. (2019). A Multi-Frequency Replication of the MegaREG Experiments. Journal of Scientific Exploration, 33(3), 435–450. https://doi.org/10.31275/2019/1278
  14. Dechamps, M. C., & Maier, M. A. (2019). How Smokers Change Their World and How the World Responds: Testing the Oscillatory Nature of Micro-Psychokinetic Observer Effects on Addiction-Related Stimuli. Journal of Scientific Exploration, 33(3), 406–434. https://doi.org/10.31275/2019/1513
  15. Maier, M. A., & Dechamps, M. C. (2018). Observer Effects on Quantum Randomness: Testing Micro-Psychokinetic Effects of Smokers on Addiction-Related Stimuli. Journal of Scientific Exploration, 32(2), 265–297. https://doi.org/10.31275/2018.1250
  16. Grote, H. (2017). Multiple-Analysis Correlation Study between Human Psychological Variables and Binary Random Events. Journal of Scientific Exploration, 31(2), 231–254.
  17. Vares, D. A. E., & Persinger, M. A. (2013). Predicting random events from background photon density two days previously: implications for virtual-to-matter determinism and changing the future. Journal of Nonlocality.
  18. Bösch, H., Steinkamp, F., & Boller, E. (2006). Examining psychokinesis: The interaction of human intention with random number generators—A meta-analysis. Psychological Bulletin, 132(4), 497–523. https://doi.org/10.1037/0033-2909.132.4.497
  19. Lumsden-Cook, J., Thwala, J., & Edwards, S. (2006). The Effects of Traditional Zulu Healing Upon a Random Event Generator. Journal of the Society for Psychical Research, 70, 129–139.
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