Abstract
Since the seventeenth century, science has excluded causa finalis from its conceptual framework, rendering teleological structures invisible even where their effects are manifest. This paper proposes a mathematical rehabilitation of final causation within a quaternionic Hilbert space. Two seemingly unrelated anomalies are addressed in parallel: the stabilization of meaning in discourse and the flat rotation curves of galaxies.
In semantics, discourse does not disperse indefinitely but organizes itself around attractors such as justice or truth. These attractors act as teleological vectors in the imaginary subspace: their influence is strongest when meaning is still unrealized and vanishes at the point of realization. In cosmology, the same formalism reinterprets "dark matter" not as hidden particles but as the effect of an attractor field projected from imaginary dimensions into observable dynamics.
The result is a conceptual unification: teleology emerges as geometry in the appropriate mathematical space. By restoring causa finalis to theoretical legitimacy, the model opens a new perspective on both cosmic and semantic order.