arising from: V. Milián-Sánchez et al.; Scientific Reports https://doi.org/10.1038/s41598-020-64497-0 (2020).


In recent work, Milián-Sánchez et al.1,2,3 observed fluctuations in radioactive decay rate measurement series, and after excluding environmental influences (measured indoors) as root causes, they looked for possible correlations with astrophysical variables. They reported positive or negative correlations with geomagnetic activity (GMA) and cosmic-ray activity (CRA). This assertion is at variance with the most accurate measurements of radioactivity, which support the validity of the exponential-decay law4,5,6,7,8,9,10,11,12,13,14. If a causal relationship between ‘space weather’ and radioactive decay rates were true, it would invalidate the notion of invariable decay constants and have unforeseeable practical and theoretical implications.

In spite of the authors’ efforts to investigate possible influences of environmental parameters—such as ambient temperature, pressure and humidity—on the detectors’ stability, it turns out that the influence of ambient humidity on the instrumentation has been underestimated. In Fig. 1, the measured decay rates of a 226Ra source with a Geiger–Müller counter1,3 is shown together with measured ambient humidity data in a weather station in the Valencia region15. There appears to be a positive correlation between the humidity and the observed decay rates. This is even more striking when applying a toy physical model in which the humidity data are accumulated as moisture in the set-up16, shown as a line overlaid on the decay rates in Fig. 1.

Figure 1
figure 1

Relative humidity in the Valencia region (top) in the period 5–9 Dec 201411. Qualitative comparison (bottom) of measured 226Ra decay rates1,2,3 with a simple moisture accumulation model12.

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The moisture accumulation model was devised in a simple manner: The relative air humidity data series, \(H_{R} (t)\), sequenced in steps of half an hour, was summed (starting from at least one day before the decay rate measurements) and a convenient medium value \(\overline{H}_{R}\) was subtracted to realign the baseline

$$ H_{C} (t) = \sum\limits_{{t^{\prime} < t - \Delta t}} {(H_{R} (t^{\prime})} - \overline{H}_{R} ) $$

No hard claims are made about the physical rigour of this toy model, but it allows to smooth out the humidity data in time (by accumulation), to adjust the baseline (by adapting \(\overline{H}_{R}\) to preceding conditions) and to perform a time shift (by changing \(\Delta t\)) to align the accumulated humidity with the activity measurements and counteract a possible difference in time base between both data sets.

The moisture model has also been applied to the other decay rate measurements, the background measurements, as well as the additional tests performed on the capacitance of the detector cable and a reference capacitance16. On a qualitative level, positive correlations were observed in every case. Six graphs covering a measurement period of at least 1.9 days and showing distinct variations with time have on average a correlation factor of 0.60 (ranging between 0.35 and 0.8) with the humidity model (Figure 2). It seems fair to conclude that ambient humidity, or correlated weather conditions (such as temperature), must have played a significant role in the measurements in spite of measures taken to exclude such interferences. Consequently, the measurement data do not reflect physical changes in the decay constants caused by ‘space weather’, but a difference in response of the electronics to changing ‘terrestrial weather’ conditions.

Figure 2
figure 2

Six examples of decay rate/capacitance measurements compared to the humidity model16.

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In conclusion, the work in Refs.1,2,3 may be regarded as exploratory research, and the sought-after correlation with space weather as highly speculative. With the discovery of hitherto unnoticed correlations with terrestrial weather conditions, the hypothesised causal correlation between space weather and radioactive decay turns out to be unsubstantiated by evidence and remains unlikely to be true.