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Dean Kulik

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#edge computing Open access Oct 2026

The Reader in the Mirror - Only Transformation: Memory as Stored Constraint, Reading That Cannot Fail, and a Field Read from Inside

The Reader in the Mirror Only Transformation: Memory as Stored Constraint, Reading That Cannot Fail, and a Field Read from Inside Driven by Dean A. Kulik October 2026 Abstract Only transformation exists. Memory is matter that keeps a constraint; logic is how a transformation finds its way through the constraints it mee...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

The Interior of a Reader - The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require

The Interior of a Reader The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require Driven by Dean A. Kulik QuHarmonics Research Group · ORCID 0009-0003-3128-8828 Relation Layer, Paper V · October 2026 Abstract Paper IV of this series showed that an exact price on a token arena, if it respects a r...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

The Interior of a Reader - The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require

The Interior of a Reader The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require Driven by Dean A. Kulik October 2026 Abstract Paper IV of this series showed that an exact price on a token arena, if it respects a reader's symmetry, is the difference of a potential that is constant on the reader...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

The Interior of a Reader - The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require

The Interior of a Reader The Zero Set of an Invariant Price, Its Two Methods, and the Memory They Require Driven by Dean A. Kulik QuHarmonics Research Group · ORCID 0009-0003-3128-8828 Relation Layer, Paper V · October 2026 Abstract Paper IV of this series showed that an exact price on a token arena, if it respects a r...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Deficiency Is a Module: Channel-Resolved Closure, Vocabulary Granularity, and the Operator Gap on Token Arenas

Deficiency Is a Module Channel-Resolved Closure, Vocabulary Granularity, and the Operator Gap on Token Arenas Driven by Dean A. Kulik October 2026 Abstract fH(V) = dim V module D = A/W, and every reader's channel deficit is a Fourier or isotypic coefficient of a single character χD = χA − χW; the projector apparatus us...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Deficiency Is a Module: Channel-Resolved Closure, Vocabulary Granularity, and the Operator Gap on Token Arenas

Deficiency Is a Module Channel-Resolved Closure, Vocabulary Granularity, and the Operator Gap on Token Arenas Driven by Dean A. Kulik October 2026 Abstract fH(V) = dim V module D = A/W, and every reader's channel deficit is a Fourier or isotypic coefficient of a single character χD = χA − χW; the projector apparatus us...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Rank Access and Closure Depth in the Relation-Layer Cohomology of Token Arenas

Rank Access and Closure Depth in the Relation-Layer Cohomology of Token Arenas A refuted conjecture, a refuted mechanism, and two species of invariant harmonic residue Driven by Dean Kulik October 2026 Abstract A Kdisj-type relation layer over a token arena assigns cohomology to a graph by declaring which closed loops...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

A C₄-Free Classification of Square Relations on Token Graphs

A C₄-Free Classification of Square Relations on Token Graphs with girth, tree and discretization witnesses Driven by Dean A. Kulik October 2026 Abstract Let FK(X) denote the K-token graph of a finite simple graph X: vertices are the K-subsets of V(X), adjacent when their symmetric difference is an edge. Two families of...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Rank Access and Closure Depth in the Relation-Layer Cohomology of Token Arenas

Rank Access and Closure Depth in the Relation-Layer Cohomology of Token Arenas A refuted conjecture, a refuted mechanism, and two species of invariant harmonic residue Driven by Dean Kulik October 2026 Abstract A Kdisj-type relation layer over a token arena assigns cohomology to a graph by declaring which closed loops...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

A C₄-Free Classification of Square Relations on Token Graphs

A C₄-Free Classification of Square Relations on Token Graphs with girth, tree and discretization witnesses Driven by Dean A. Kulik October 2026 Abstract Let FK(X) denote the K-token graph of a finite simple graph X: vertices are the K-subsets of V(X), adjacent when their symmetric difference is an edge. Two families of...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Readers Are Functionals- Representation Control of the Relation Layer on Token Arenas

Readers Are Functionals- Representation Control of the Relation Layer on Token Arenas a multiplicity table, a faithful-reader certificate, and an isotypic correction to the rank budget Driven by Dean A. Kulik October 2026 Abstract Attaching 2-cells to a token graph and computing invariant cohomology under a symmetry gr...

Dean Kulik · 0 citations
#edge computing Open access Oct 2026

Readers Are Functionals- Representation Control of the Relation Layer on Token Arenas

Readers Are Functionals- Representation Control of the Relation Layer on Token Arenas a multiplicity table, a faithful-reader certificate, and an isotypic correction to the rank budget Driven by Dean A. Kulik October 2026 Abstract Attaching 2-cells to a token graph and computing invariant cohomology under a symmetry gr...

Dean Kulik · 0 citations

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