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