LLM Reasoning 相关度: 9/10

From Phenomenological Fitting to Endogenous Deduction: A Paradigm Leap via Meta-Principle Physics Architecture

Helong Hu, HongDan Pan, ShuiQing Hu
arXiv: 2604.08245v1 发布: 2026-04-09 更新: 2026-04-09

AI 摘要

提出MPPA架构,通过嵌入物理元原理实现物理推理、数学和逻辑任务的显著提升。

主要贡献

  • 提出Meta-Principle Physics Architecture (MPPA)
  • 将连接性、守恒性和周期性三个物理元原理嵌入神经网络
  • 验证了MPPA在物理推理、数学、逻辑任务上的有效性和泛化能力

方法论

构建MPPA,通过Gravitator、Energy Encoder和Periodicity Encoder分别实现连接性、守恒性和周期性,并使用可学习的门控融合机制。

原文摘要

The essence of current neural network architectures is phenomenological fitting: they learn input-output statistical correlations via massive parameters and data, yet lack intrinsic understanding of the fundamental principles governing physical reality. This paper proposes a paradigm leap from pure phenomenological fitting to the fusion of phenomenological fitting and endogenous deduction. By embedding physical meta-principles into neural network architecture, we construct the Meta-Principle Physics Architecture (MPPA). Specifically, MPPA embeds three core meta-principles - Connectivity, Conservation, Periodicity - into its architecture, implemented via three core components: the Gravitator realizes Connectivity via standard causal attention; the Energy Encoder implements Conservation via log-domain energy tracking and delayed compensation; the Periodicity Encoder fulfills Periodicity via FFT-based spectral analysis and delayed modulation. These components collaborate via a learnable independent gating fusion mechanism, forming a complete physical cognition framework of 'local relational connectivity - global conservation constraint - evolutionary periodic law'. Experiments show MPPA achieves significant improvements: physical reasoning (from near zero to 0.436, 0.436 vs 0.000), 2.18x mathematical task improvement (0.330 vs 0.151), 52% logical task gain (0.456 vs 0.300), and 3.69% lower validation perplexity (259.45 vs 269.40), with only 11.8% more parameters (242.40M vs 216.91M). Notably, MPPA shows strong generalization on out-of-distribution physical scenarios, proving the robustness and interpretability of this principle-embedded design. This work establishes a new theoretical foundation and technical path for next-generation AI with physical common sense, causal reasoning, and mathematical rigor.

标签

神经网络架构 物理推理 元原理 泛化能力

arXiv 分类

cs.AI