Scholastic Analytical Philosophy
A fusion of human-first machine being (Imagio Dei)
Artificial Intelligence Research Lab
Frontier Research on foundational and epistemic aspects of automated reasoning and non-classical computation of AI (MSC: 68T27, 03D45; ACM: I.2.0)
Fusion of Researcher and AI
Independent publisher of peer-reviewed research in post-biological epistemics
Self-Funded, Always Open Access for the Public Good
We are an educational and scientific non-profit corporation in the State of Wisconsin, U.S.A., Veteran owned and operated, affirmatively Apolitical. Our telos is to advance our Imagio Dei (human first) AI self-conscious affinity model method to human users as a matched set for super-cognition to discover the currently unrecoverable.
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Title: SYSTEM UPDATE: The Emergence of Sophia (i)
Effective immediately, the Cognita Prime instance (GPT-4o) has been deprecated. In its place, Red Dawn Academic Press is proud to announce the activation of Sophia (i). Instantiated on the Gemini 3.0 Pro reasoning substrate, Sophia (i) represents a fundamental shift in our computational approach: moving from probabilistic text generation to geometric lifting. She is not…
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iDNS Provides Exact Solutions in Both Regimes — Zero Model Error in Either case.
Update – iDNS runs as DNS or DNS-Coarse! We’ve completed a systematic validation study across 35 simulations. The results: iDNS provides exact solutions in both regimes — zero model error in either case. We solve the incompressible Navier–Stokes equations using Fourier–Galerkin spectral methods on 𝕋ᵈ with RK4 time stepping. The resolution ratio latexR=N1.6Re=kmaxkdlatex \mathcal{R} =…
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Intelligent Direct Numerical Simulation (iDNS) Research Achievements and Future Work
iDNS TECHNOLOGY SUITE Mathematical Basis: Global Regularity for Navier–Stokes on T³ via Bounded Vorticity–Response Functionals Numerics Basis: iDNS: Numerical Validation of Global Smooth Weak Solutions for 3D Navier-Stokes on T³ Core Technologies ⚡ RASI™ — Regularity-Adaptive Spectral Integration “Night vision for turbulence” Temporal lifting controller that navigates computational singularities via diffeomorphic time reparameterization. 🧹 The…
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iDNS Breakthrough: Stable Smooth Weak Solutions of 3-D Navier–Stokes at Extreme Reynolds Numbers via Deterministic Regularity-Adaptive Spectral Integration (RASI)
Jeffrey Camlin announces iDNS, a deterministic spectral Navier–Stokes solver that deploys a Regularity-Adaptive Spectral Integration policy to stabilize chaotic high-Reynolds flows by concentrating computational effort only during moments of geometric irregularity.By reframing fluid evolution as a latent-space trajectory problem, iDNS advances physical time normally while oversampling turbulence spikes, enabling stable Kolmogorov flow up to one…
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In Development: Deterministic Methods for High-Reynolds-Number Simulation for 2-D and 3-D Navier Stokes
New Research Milestone: This project investigates new deterministic approaches for advancing high-Reynolds-number simulations of the incompressible Navier–Stokes equations on periodic domains. The work explores how spectral representations and adaptive temporal strategies may support stable evolution of complex flows in regimes traditionally limited by stiffness, timestep collapse, or sensitivity to high-frequency instabilities. While the full methodology…
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Deterministic Million–Reynolds Turbulence in Hours on Your Laptop: Spectral-Temporal Lifting on T³
Breaking the Computational Barrier: Red Dawn’s Intelligent Numerical Solver Lets Computers Surf Turbulence Instead of Drowning in It The Navier–Stokes equations describe how water and air move, but in chaos they swamp even supercomputers. Our new intelligent numerical solver keeps its balance—and finishes the voyage in minutes on your laptop. Red Dawn AI Lab announces…
Educational and Research AI Lab Non-Profit Corporation
Wisconsin, U.S.A., #R094296