A Normalização pela Unidade: a Matemática da Tríplice Ontologia da Anatomia Humana

AbstractThe human body has a triple anatomical characteristic: three-dimensional polymetry,heterogeneity, and analogicity. This is its ontology. BMI (Body Mass Index), which treats thebody as a homogeneous plane (kg/m²), ignores this problem. This article presentsNormalization by the Unit as a mathematical solution to this triple problem, and BMI-C (BodyMorphometric Index – Corrected) is its anthropometric version. The choice of the number 1.0is not arbitrary: it gathers the mathematical properties necessary for the resolution of theproblem, as it is the neutral element of multiplication, the convergence point of any zeroexponent, and the reference point of fundamental trigonometric identities. Normalization at1.0 allows combining domains without one predominating over the others, preserves theidentity of each domain, and respects the analogicity of the body. Empirical validation wasconducted in three independent NHANES cohorts (2015–16, 2017–18, 2021–23), withsegmented regression applied to the relationship between BMI-C and fasting insulin. In allcohorts, the Davies test rejected the null hypothesis of no structural break (p < 0.005), with aβ₂/β₁ ratio greater than 5x and an insulin jump greater than 100%. The breakpoint waslocated between 1.10 and 1.22 — above the normalization (1.0). BMI-C does not diagnose,does not identify causes, and does not replace laboratory tests. It is a compass that pointsthe direction of a constructive/destructive biological interference wave. With a response inseconds, near-zero cost, and the possibility of modulated-frequency monitoring, BMI-Creturns to the health professional the interpretive autonomy that the single metric hadsuppressed — at low cost, ideal for primary care and population studies.