Document Type

Article

Publication Date

9-23-2026

Abstract

The search for an intrinsically beautiful scientific project took two children and their parent to over 600 visits of 181 playgrounds scattered throughout northern, central and southern California over the period of more than three years. Their goal was to test the hypothesis that children’s happiness and fondness for communication at playgrounds could be used, through complexity and entropy as intermediary quantities, as predictors of the evolution of physical, chemical and biological phenomena on microscopic scales ranging from the atomic to the cellular. Specifically, a link was sought between the children’s responses at play and the reaction paths of physicochemical processes that included (i) colorimetric dissolution of a chemical dye; (ii) diffractometrically monitored crystallization of ceramics; (iii) fluorometrically tracked binding of a peptide to a calcium-signal transducer; (iv) an isotopic exchange between deuterated water and an aliphatic alcohol observed using NMR spectroscopy; and (v) temporal transformation of cells subjected to nanoparticle therapy assessed using immunofluorescence and flow cytometry. This link was established through the computational measurement of complexity and entropy of both playground spaces and imagery descriptive of each microscopic phenomenon. Both children’s mood and communication showed a tendency to increase directly with the structural complexity of playgrounds and inversely with their entropy. Where correlation coefficients were sufficiently high, correlation transitivity allowed complexity and entropy to serve as mathematical bridges between children’s play parameters and the evolution of the physical processes along their reaction coordinates, enabling prediction of the final states of the system given an observed initial state. The discussion of these findings is interlaced with playful vignettes that celebrate the aesthetic impulse and spirit of free play from which this study sprang to life.

Comments

This article was originally published in Transdisciplinary Journal of Engineering & Science, volume 17, in 2026. https://doi.org/10.22545/2026/00289

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1

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The authors

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Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

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