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Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Noetic Geodesic Framework: Deterministic AI Reasoning via Warped Manifolds (Early Preprint)

Authors: Moore, Ian C.;

Noetic Geodesic Framework: Deterministic AI Reasoning via Warped Manifolds (Early Preprint)

Abstract

This early preprint introduces the Noetic Geodesic Framework (NGF), a geometric approach to deterministic AI reasoning. By inducing Semantic Mass, we warp latent spaces into Warped Semantic Manifolds populated by Cognition Wells, guiding Geodesic Traversals toward Noetic Singularities (truth-aligned endpoints). Within the scope of the NGF-alpha project, Stage-10 established a robust geodesic parser/executor. Stage-11 consolidates the doctrine Warp → Detect → Denoise, introducing funnel-fit wells, matched-filter detection with null calibration, and denoising control systems (EMA+median smoothing, confidence gates, phantom-guard probes, jitter averaging, SNR logging). Benchmarks on Latent-ARC (n=100) show: Stock baseline: 49/100 exact, F1 ≈ 0.80 Geodesic (Stage-10): 64/100 exact, F1 ≈ 0.90 NGF Stage-11 (denoise path): 100/100 exact, F1 ≈ 0.998, hallucination ≈ 0.5% (noise floor) These results represent the “breaking point” transition from heuristic parsing to explicit warped-manifold energy frameworks, with hallucination suppression by design. Note: these tests are on a simulated embedding level only, live tests on LLM will soon follow. Note: This is an early preprint; future versions will expand experiments and formal mathematical proofs. Provisional patents pending: US #63/864,726; #63/865,437; #63/871,647; #63/872,334.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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