Diagnosing the Present: Formalising Contemporary Sociological Theory through Factor Entropy

Contemporary critical sociology has produced nine influential diagnostic frameworks for late modernity — from Rosa's social acceleration to Habermas's colonisation of the lifeworld — yet these frameworks remain largely incommensurable: each speaks a different theoretical language, operates with different concepts, and resists systematic comparison or empirical testing. This paper proposes a solution through the construction of a formal metalanguage based on factor entropy H(t), dominant factor weight λ, and temporal stability Cor, derived from Q-methodology and anhomomorphic logic (Sorkin, 1994). The central contribution is a catalogue of 44 operational metrics spanning nine theoretical traditions (Rosa, Honneth, Bauman, Gramsci, Koselleck, Latour, Fraser, Beck, Habermas), each expressed as a computable function of H, λ, and Cor. This metalanguage does not replace the phenomenological richness of the original theories; it provides a common measurement grammar through which their diagnoses can be stated precisely, compared systematically, and falsified empirically. Crucially, the same base quantities — entropy, weight, stability — acquire distinct theoretical readings depending on the tradition: H(t) measures acceleration for Rosa, hybridisation for Latour, and colonisation for Habermas, while remaining formally identical across all three. As a proof of concept, the paper applies the full metric catalogue to an illustrative chronology of Western European public discourse (2000–2024), demonstrating convergent validity: all nine theoretical traditions independently diagnose 2016 as a critical turning point, with an average inter-metric correlation of |r| = 0.83 across the extended matrix. Principal component analysis extracts three latent dimensions — temporal disintegration (54% of variance), recognition/struggle (24%), and hybridisation/risk (12%) — accounting for 90% of total variance across 44 metrics. A key synthetic finding is the formalisation of the triple prohibition (Habermas + Fraser + Gramsci): the simultaneous structural blockage of communicative, hybrid, and counter-hegemonic trajectories, operationalised as SN_total = P_forbidden,comm × P_forbidden,hybrid × (1 − λ_sub/λ_max) = 0.244 for 2024. The paper is explicit about the epistemic status of its results: all metric values are theoretically motivated simulations, not outputs of real Q-studies. The contribution is methodological — the construction of a falsifiable research programme, not an empirical finding. Verification requires longitudinal Q-studies with real P-sets; the paper specifies the conditions under which the metalanguage's core claims would be disconfirmed.