27 papers indexed here
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Named Laws Live at Computable Addresses Where the NEXUS registry places the latch, the ring oscillator, Griffith’s 8, the diffusive floor, no-cloning, Planck, Gödel and the inverse-square law, and what its one empty slot predicts Driven by Dean A. Kulik September 2026 Abstract Named laws live at addresses. Each named r...
Named Laws Live at Computable Addresses Where the NEXUS registry places the latch, the ring oscillator, Griffith’s 8, the diffusive floor, no-cloning, Planck, Gödel and the inverse-square law, and what its one empty slot predicts Driven by Dean A. Kulik September 2026 Abstract Named laws live at addresses. Each named r...
Mathematical Foundations of Universal Admissibility Coding the Macroscopic Invariant Structure Driven by Dean A. Kulik September 2026 Abstract This report develops a registry-based framework for distinguishing local admissibility certificates from global realizability conditions across discrete computation, graph topol...
Two Quotients of One Machine Myhill–Nerode cut complexity and locality cohomology of binary addition Driven by Dean A. Kulik September 2026 Abstract An n-bit modular adder is read two ways, and both readings are computed exactly. Theorem A (the reader cut). Present the input positions of (a,b) ↦ a+b mod 2ⁿ in an arbitr...
The Ceiling and the Descent Identification repeats: the residual programme inverted, with a third order, a persistence module over declared relations, and what the descent counts Driven by Dean A. Kulik September 2026 What this is, and what changed This is not a theorem paper. It proves nothing and is separable from ev...
The Topology of Transformation: From Admissibility to Observability in Discrete Configuration Spaces Driven by Dean A. Kulik September 2026 Introduction: The Architecture of Transformational Continuation The formal representation of dynamic systems within theoretical physics, applied mathematics, and algebraic topology...
Transformation without loss Residual cohomology of token-configuration arenas under change of substrate, symmetry, and admissibility Driven by Dean A. Kulik September 2026 Lead-in Put some indistinguishable tokens on the vertices of a finite graph, one per vertex, and let a token step to an empty neighbour. That is the...
Transformation without loss Residual cohomology of token-configuration arenas under change of substrate, symmetry, and admissibility Driven by Dean A. Kulik September 2026 Lead-in Put some indistinguishable tokens on the vertices of a finite graph, one per vertex, and let a token step to an empty neighbour. That is the...
Orientation as Holonomy of the Reader Configuration Space Driven by Dean A. Kulik September 2026 Abstract A finite reader partitions a cell set into m sectors and observes a permutation T through the sector-to-sector transition table C(T). Because T is a bijection, the antisymmetric part A = C − Cᵀ has zero row sums an...
Orientation as Holonomy of the Reader Configuration Space Driven by Dean A. Kulik September 2026 Abstract A finite reader partitions a cell set into m sectors and observes a permutation T through the sector-to-sector transition table C(T). Because T is a bijection, the antisymmetric part A = C − Cᵀ has zero row sums an...
From Global Depletion to Locked Enstrophy A retraction, a change of variable, and two confounds in the vorticity-alignment reading of three-dimensional Navier–Stokes Driven by Dean Kulik 10 September 2026 Abstract On 8 September 2026 OpenAI announced a proposed resolution of statements (C) and (D) of the Clay formulati...
The Boundary Is the Locus Mathematics as a Contact Phenomenon, and the Sphere as Its Zero Driven by Dean A. Kulik September, 2026 Abstract The standard picture treats mathematics as a medium in which objects are situated and described. This paper inverts that picture. Mathematics does not fill space and does not reach...
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