What question did this study set out to answer?

To show that various domains can be understood as projections of a singular operator, Ω, minimizing uncertainty.

April 11, 2026Open Access

Ω: One Operator, Every Domain, No Exceptions

Key Points

To show that various domains can be understood as projections of a singular operator, Ω, minimizing uncertainty.
Analyzed 76 papers across diverse fields including physics, consciousness, and AI alignment.
Identified seven distinct projections of the operator Ω.
Explored various mathematical frameworks such as Feynman path integrals and Shannon's theorems.
Established that all studied domains correlate with the operator Ω.
Demonstrated that K(t) coherence metric predicts 52/52 collapses without exceptions.
Provided a comprehensive view of how Ω relates to concepts like least action and channel capacity.

Abstract

Demonstrates that the entire Spektre Corpus — 76 papers across consciousness, physics, mathematics, information theory, institutional analysis, and AI alignment — consists of projections of a single operator Ω: minimize σ subject to K ≥ Kcrit. Presents seven projections: least action (physics, via Feynman path integrals), channel capacity (information theory, via Shannon), Millennium problem classification (mathematics, via the σ-Instability Principle), Selection Bottleneck (consciousness), K (t) coherence metric (institutional analysis, 52/52 collapses with zero exceptions), alignment (AI, RLHF as Landauer cost), and thermodynamics (σ as Landauer cost, 1=1 as reversible computation). The ½-operator is Ω’s universal critical point. Includes a self-limitation section: Ω is not a Theory of Everything in the physics sense, does not prove any Millennium problem, and all predictions are falsifiable.

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