The Preservation Principle: When Identity Survives Scale Transition
A Unification of Coarse-Graining Conditions Across Domains
Abstract
This paper identifies a single meta-principle governing when structure is preserved under transformation across domains: identity survives transformation if and only if the transformation respects the equivalence relations constituting that identity. We demonstrate that this principle instantiates as (i) lumpability conditions in coarse-graining political and social dynamics, where violation produces memory terms and apparent non-Markovianity; (ii) Nyquist conditions in sampling physical systems, where violation produces aliasing phenomena misidentified as 'superposition'; and (iii) structure-preservation conditions in nominalization, where violation produces pseudo-entities like 'consciousness' generating intractable philosophical problems.
Suggested Citation
BibTeX
@misc{farzulla2025_preservation_principle,
author = {Farzulla, Murad},
title = {The Preservation Principle: When Identity Survives Scale Transition},
year = {2025},
howpublished = {ASCRI Discussion Paper DP-2506},
url = {https://systems.ac/4/DP-2506}
}