The Planck Lattice: A Cross-Domain Population Survey of 526 Measurable Quantities

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Authors: Robert Clark
Cited by: 4

Abstract

We map 526 measurable quantities from 13 scientific domains onto the Planck-unit logarithmiccoordinate system defined in Clark (2026a), where a(x) = |log10 (x / xP )|. Overall integer clustering isnot statistically significant (mean |residual| = 0.246, p > 0.10, Monte Carlo, 105 simulations). However,address occupancy is non-uniform: the most populated integer address hosts 42 quantities from 5independent domains, exceeding the null-model expectation of ~11 (p < 10-5). Domain-specificclustering is significant (p < 0.001) in every category tested. A monotonic emergence gradient(Spearman rho = 1.0) links biological organisational complexity to lattice position across eight levels.Centesimal sub-address analysis reveals physical entrainment as the mechanism behindwithin-address clustering: 65% of items at address 48 share a single sub-address locked to Earth'srotation period. All data, code, and the open-source Planck Lattice Mapper tool are provided forindependent verification and extension (see supplementary README)

Fields of Study & Subjects

Origins and Evolution of Life Probability and Statistical Research Data Analysis with R

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
29 March 2026
Document type
Preprint