homogébb

Homogébb is a term used in theoretical discussions of multi-scale systems to denote a state in which macroscopic properties appear homogeneous across scales, even though fine-scale structure persists. It is a neologism that has appeared in a small set of academic and speculative writings to describe a regime between full homogenization and persistent heterogeneity.

Formally, a system is in a homogébb regime for a property P if, as the observation scale increases, the coarse-grained value P̄(s) converges to a single limit independent of the particular microstructure, while fluctuations around P̄(s) remain bounded and do not vanish with scale.

Key characteristics include scale robustness, a bounded micro-variability, and insensitivity to moderate local perturbations. The transition to homogébb typically depends on the strength of coupling between subsystems, the correlation length of microstructure, and the spectrum of heterogeneities. The concept is used to distinguish cases where averaged properties suffice for practical modeling from those requiring explicit microstructural detail.

Applications of homogébb span modeling of materials, ecological networks, and climate or socio-technical systems. It provides a framework to discuss when a system can be treated as effectively uniform for predictions and control, even if some fine-scale features persist. In such contexts, homogébb helps explain why macro-level forecasts based on averaged properties may remain valid despite underlying heterogeneity.

See also homogenization, multiscale modeling, upscaling, and effective medium theory. References to homogébb remain limited and are typically found in discipline-specific discussions or speculative overviews rather than in standard textbooks.