Logos Technologies (United States)

Minimal Nodal Complexity for Detecting the Primitive Middle Hodge Class on a Smooth Quadric Fourfold

This preprint studies a concrete generalized-Thomas-section benchmark on the smooth quadric fourfold Q^4. For the primitive middle Hodge class ζ=2[Π]−h^2 associated with a maximal plane Π, it proves—subject to independent verification and without a claim of novelty—that the minim...

Attainment of a Scale-Critical Vortex-Stretching Functional in Three Dimensions

This preprint studies a scale-critical variational functional associated with the nonlinear production of vortex stretching in three-dimensional incompressible Navier–Stokes flow. For divergence-free vorticity fields ω ∈ H1(ℝ3; ℝ3), the functional is defined by F(ω) = N(ω) / (ℰ(ω...

A Data–Physics Dual-Driven Intelligent Diagnostic Method for Downhole Drilling Risks

Safe drilling in hydrate-bearing sediments is essential for environmentally responsible natural gas hydrate development. Complex pressure variations, fluid migration, and mechanical disturbances during drilling may increase the risks of gas influx, lost circulation, pipe sticking...

Operational Transition Test (OTT): Experimental Crucible v0.3 - Frozen Reduced-VCX Prospective Protocol

This record contains the frozen prospective protocol for version 0.3.0 of the Operational Transition Test (OTT) Experimental Crucible. Context. The v0.2 frozen protocol (DOI 10.5281/zenodo.22116064) was publicly timestamped before execution; its prospective run was then published...

Operational Transition Test (OTT): Experimental Crucible v0.3 — Prospective Reduced-VCX Results (H1–H4 PASS)

This record contains the prospective results of the Operational Transition Test (OTT) Experimental Crucible v0.3.0 — the reduced V–C–X criterion (scope-wide interventional validity ∧ robust control-cost compression ∧ attributable constrained operational expansion). The protocol,...

Operational Transition Test (OTT): Experimental Crucible v0.2 - Frozen Prospective Protocol

This record contains the frozen prospective protocol for version 0.2.0 of the Operational Transition Test (OTT), developed to test whether a proposed operational criterion can distinguish genuine cross-level operational transitions from predictive compression, arbitrary aggregati...

Operational Transition Test (OTT): Experimental Crucible v0.2 — Prospective Results (H1 = FAIL)

This record contains the prospective results of the Operational Transition Test (OTT) Experimental Crucible v0.2.0. The protocol, hypotheses, thresholds, benchmark families, development/evaluation split, resource accounting rules, and failure criteria were publicly frozen before...

When Output Becomes Infrastructure: Operational Compilation and a Falsifiable Test for Cross-Level Transitions

Scientific explanations routinely move between levels of organization, yet a change of level may represent either a genuine change in what a system or controller can operationally do or merely a useful redescription by an observer. We propose operational compilation: a lower-leve...

Artificial Intelligence, Climate Governance, and Environmental Justice: Comparative Perspectives from the United Kingdom and Africa

Abstract This paper examines the recent role of artificial intelligence (AI) in climate governance and its impacts on environmental justice with the United Kingdom and Africa as a comparative case study. As AI is increasingly incorporated into environmental monitoring and climate...

Artificial Intelligence, Climate Governance, and Environmental Justice: Comparative Perspectives from the United Kingdom and Africa

Abstract This paper examines the recent role of artificial intelligence (AI) in climate governance and its impacts on environmental justice with the United Kingdom and Africa as a comparative case study. As AI is increasingly incorporated into environmental monitoring and climate...

The Syntax of Creation: Logic, Formal Limits, and the Nature of Rational Faith

This essay explores the intersection of analytical philosophy and Augustinian rational theology, taking the concept of the Logos as an invariant ontological structure of reality. By analyzing the phenomenon of formal independence in set theory—exemplified by the Continuum Hypothe...

The Syntax of Creation: Logic, Formal Limits, and the Nature of Rational Faith

This essay explores the intersection of analytical philosophy and Augustinian rational theology, taking the concept of the Logos as an invariant ontological structure of reality. By analyzing the phenomenon of formal independence in set theory—exemplified by the Continuum Hypothe...