Invariant death

TL;DR

This paper explores how invariant geometric principles constrain the variability in death dynamics across different biological systems, extending classical theories with a generalized Gompertz law.

Contribution

It introduces a fundamental extension to randomness, invariance, and scale theories, deriving a generalized Gompertz law that explains death's invariant geometry.

Findings

Invariant geometry constrains death's scaling and curvature.

A generalized Gompertz law models death dynamics.

Universal laws combined with biological processes explain death variability.

Abstract

In nematodes, environmental or physiological perturbations alter death's scaling of time. In human cancer, genetic perturbations alter death's curvature of time. Those changes in scale and curvature follow the constraining contours of death's invariant geometry. I show that the constraints arise from a fundamental extension to the theories of randomness, invariance and scale. A generalized Gompertz law follows. The constraints imposed by the invariant Gompertz geometry explain the tendency of perturbations to stretch or bend death's scaling of time. Variability in death rate arises from a combination of constraining universal laws and particular biological processes.