mercurial.hierarchy.levels module

Hierarchical level taxonomy (LADDER).

class mercurial.hierarchy.levels.HierarchicalLevel(index: int, lower_bound: float, upper_bound: float, label: str = '')[source]

Bases: object

A single level L_n with complexity range.

Methods

contains

class mercurial.hierarchy.levels.LadderHierarchy[source]

Bases: object

Complete LADDER taxonomy (Levels 0‑18).

Methods

Compute Λ(P) = α log₂ N_dof + β I_int + γ Σ.

get_level

LABELS = ['Neutral Substrate', 'Quantum‑Gravitational', 'Elementary Particles', 'Composite Particles', 'Atomic Species', 'Molecular Aggregates', 'Mesoscale Structures', 'Macroscopic Materials', 'Functional Assemblies', 'Integrated Biological', 'Networked Systems', 'Planetary Systems', 'Interplanetary', 'Interstellar', 'Galactic', 'Intergalactic', 'Cosmic Web', 'Observable Universe', 'Entire Branch']

THRESHOLDS = [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0]

complexity_measure(pattern) → float[source]: Compute Λ(P) = α log₂ N_dof + β I_int + γ Σ.