The tragic absolute: a formal ontology of divinity

Divine absoluteness is construed as an identity wholly articulated in its relational embodi- ments, rather than an original completed apart from them. Structural death is the impossibility of preserving that identity while eliminating its constitutive mediation. Binary local systems provide a precise model: intrinsic transport determines their identity completely, while irreducibility ex- cludes every compatible global reference. I prove a representation theorem identifying irreducible embodiment, non-zero cohomology and identity-preserving non-normalisability. On an explicit incarnational interpretation, the Father’s death, the cross and resurrection are co-belonging determinations of one structure: the failure of a detached reference, its constitutive obstruction and the concrete embodiment of divine identity. Resurrection is thereby incarnation through structural death, not its temporal reversal. A finite model establishes joint realisability, and a separate result distinguishes intrinsic identity from effective descriptive completeness.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23851586
Primary Topic
Karl Barth and Christian Theology
Type
preprint
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preprint

The tragic absolute: a formal ontology of divinity

Yi Yang
5 links
Zenodo (CERN European Organization for Nuclear Research)
Karl Barth and Christian Theology
preprint

The tragic absolute: a formal ontology of divinity

Yi Yang
preprint en

Abstract

Divine absoluteness is construed as an identity wholly articulated in its relational embodi- ments, rather than an original completed apart from them. Structural death is the impossibility of preserving that identity while eliminating its constitutive mediation. Binary local systems provide a precise model: intrinsic transport determines their identity completely, while irreducibility ex- cludes every compatible global reference. I prove a representation theorem identifying irreducible embodiment, non-zero cohomology and identity-preserving non-normalisability. On an explicit incarnational interpretation, the Father’s death, the cross and resurrection are co-belonging determinations of one structure: the failure of a detached reference, its constitutive obstruction and the concrete embodiment of divine identity. Resurrection is thereby incarnation through structural death, not its temporal reversal. A finite model establishes joint realisability, and a separate result distinguishes intrinsic identity from effective descriptive completeness.

Zenodo (CERN European Organization for Nuclear Research)
University of Maryland, College Park (US)
Karl Barth and Christian Theology
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