What question did this study set out to answer?

The main goal is to explore how computational systems are limited by inherent structural features, despite scaling efforts.

March 21, 2026Open Access

The Projection Condition of Computation

Key Points

The main goal is to explore how computational systems are limited by inherent structural features, despite scaling efforts.
Introduces a three-layer analytical framework (S, Π, P)
Establishes the origin constraint (C ⊆ ΠH)
Situates argument within Gödel's incompleteness results
Demonstrates that invisibility is a structural feature, not a flaw to be corrected
Argues that scaling does not close data invisibility gaps

Abstract

Title: The Projection Condition of Computation: A Structural Account of Why More Data Is Never Enough. This paper argues that computational systems—including large language models and data-driven modeling frameworks—are instances of projection conditions: finite configurations through which only a portion of an underlying structural field becomes visible, while the remainder is constitutively irrecoverable. The central claim is that this invisibility is not a deficit to be closed by scaling, but a structural feature of the position any computational system necessarily occupies by virtue of its origin. The paper introduces a three-layer analytical framework (S, Π, P), establishes the origin constraint (C ⊆ ΠH), and situates the argument in relation to Gödel's incompleteness results, scaling laws research, and existing philosophical accounts of computational limits. This work is currently being prepared for journal submission. Related updates may be available at: patreon.com/NMStructuralTheoryLab

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