Final Layer & the Fixed Constellation — the LLM reading of Stellatum

The outermost boundary where fixed positions govern predictions: the final transformer layer, and — more deeply — the fixed, immutable constellation of trained embeddings (the 'higher constellation') against which every generated vector is ultimately compared.

Stellatum (Stellatum) — Sphere of Fixed Stars

The sphere of fixed stars — invariable positions relative to one another.

Beyond the sphere of Saturn is the Stellatum, to which belong all those stars that we still call 'fixed' because their positions relative to one another are, unlike those of the planets, invariable. It is this Stellatum that Cicero calls heaven itself in 'The Dream of Scipio' — the outermost boundary at which fixed positions govern everything beneath them, and the last sphere still within spatiality.

Beyond the sphere of Saturn is the Stellatum, to which belong all those stars that we still call 'fixed' because their positions relative to one another are, unlike those of the planets, invariable.

C.S. Lewis, The Discarded Image, pp. 83–84

Part of an interactive 3D tower of the Ptolemaic cosmos and its mirror in transformer architecture, built as a companion to the essay The Celestial Mirror: How Medieval Cosmology Reveals the Architecture of (Artificial) Intelligence.

The Celestial Mirror

The Ptolemaic architecture of the cosmos — Earth, the seven planetary spheres, the Stellatum, the Primum Mobile, and what lies beyond. After Michael Mangialardi’s essay on medieval cosmology and LLM architecture.

Read the paper ↗

Planet maps © Solar System Scope (CC BY 4.0)