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Common Submanifold of Qwen2.5-32B-Instruct and Gemma 4 Representation Manifolds under Optimal Transport Alignment: Cross-Model Geometric Collaborative Reasoning in the Agent Cognitive Dynamics (ACD) Framework

April 08, 2026 • Jerry Zhang

Common Submanifold of Qwen2.5-32B-Instruct and Gemma 4 Representation Manifolds under Optimal Transport Alignment: Cross-Model Geometric Collaborative Reasoning in the Agent Cognitive Dynamics (ACD...

Agentics Cognitive Dynamics: A Theoretical Review from Generative Control to Topological Geometric Solving

March 10, 2026 • Jerry Zhang

Revised Manuscript: Agentics Cognitive Dynamics: A Theoretical Review from Generative Control to Topological Geometric Solving

The Structure and Mathematical Model of Token Cosmos

February 18, 2026 • Jerry Zhang

The Structure and Mathematical Model of Token Cosmos

The 'Automated Philosopher': Autonomous Cognitive Emergence in the OT-SGN v45.1 Engine

February 16, 2026 • Jerry Zhang

Exploring the potential of the OT-SGN v45.1 cognitive engine in achieving autonomous cognition through cross-domain isomorphic reasoning and the 'V-shaped' abstraction ladder.

Differential Topological Properties and Discretization Limits of High-Dimensional Semantic Manifolds

February 04, 2026 • Jerry Zhang

Based on experimental data from OT-SGN v45.1, this paper explores the topological evolution of semantic manifolds, defining the 'Semantic Planck Length' and identifying the boundaries of LLM interp...

OT-SGN: Geometric Navigation and Control of Large Language Model Hallucinations via Optimal Transport and Manifold Tunneling

January 24, 2026 • Jerry Zhang

Introducing OT-SGN, a novel framework that treats LLM text generation as trajectory optimization on Riemannian manifolds, enabling controlled semantic navigation and cross-domain insight generation.

Interstella Project: Research Progress in Semantic Manifold Navigation and Controllable Emergence

January 14, 2026 • Jerry Zhang

A comprehensive review of the Interstella project's research trajectory, from manifold hypothesis validation to geometric navigation frameworks for controllable LLM emergence.

What is Computable Emergence Engineering?

January 12, 2026 • Jerry Zhang

Computable Emergence Engineering represents Interstella's core vision: transforming AI capability emergence from alchemy into engineered geometric navigation through semantic manifolds.

Validating the Semantic Manifold Hypothesis: Token vs Sentence Embeddings

January 12, 2026 • Jerry Zhang

Rigorous analysis of whether LLM semantic spaces satisfy manifold assumptions, with empirical evidence showing sentence-level embeddings are significantly more manifold-like than token-level embedd...

Proxy Geometric Exploration of Semantic Manifolds in Large Language Models: Evidence for Controllable Emergence Paths

January 12, 2026 • Jerry Zhang

A proof-of-concept framework using proxy manifold learning techniques to explore and control semantic traversal in LLMs, demonstrating controllable 'semantic jumps' via extreme hybrid prompts.

语义流形探索：大型语言模型中可控涌现路径的实证证据

January 12, 2026 • Jerry Zhang

Interstella项目最新研究发布：通过代理几何方法探索LLM语义空间，首次提供可控涌现路径的实证证据，为AGI工程化奠定理论基础。

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