Surprises in numerical expressions of physical constants
Amir, Ariel
Lemeshko, Mikhail
Tokieda, Tadashi
In science, as in life, "surprises" can be adequately appreciated only in the presence of a null model, what we expect a priori. In physics, theories sometimes express the values of dimensionless physical constants as combinations of mathematical constants like π or e. The inverse problem also arises, whereby the measured value of a physical constant admits a "surprisingly" simple approximation in terms of well-known mathematical constants. Can we estimate the probability for this to be a mere coincidence, rather than an inkling of some theory? We answer the question in the most naive form.
Mathematical Association of America
2016
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doc-type:article
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https://research-explorer.app.ist.ac.at/record/1204
Amir A, Lemeshko M, Tokieda T. Surprises in numerical expressions of physical constants. <i>American Mathematical Monthly</i>. 2016;123(6):609-612. doi:<a href="https://doi.org/10.4169/amer.math.monthly.123.6.609">10.4169/amer.math.monthly.123.6.609</a>
eng
info:eu-repo/semantics/altIdentifier/doi/10.4169/amer.math.monthly.123.6.609
info:eu-repo/semantics/openAccess