arXiv:2601.00021cs.AI2026-01被引 2

从物理守恒律出发,构建智能与计算的统一理论框架。

Toward a Physical Theory of Intelligence

  • 用守恒兼容编码框架,将智能视为开放系统不可逆演化结果。
  • 推导出宏观计算的普适熵耗上限,量化智能与意识的物理能力。
  • 连接热力学耗散、量子测量与时空几何,适用于自然与人工智能。

尽管智能与计算常被视为抽象算法属性,但它们本质上是受守恒定律约束的物理过程。本文提出守恒兼容编码(CCE)框架,作为研究智能的统一、载体无关的物理基础。我们主张,当开放系统经历不可逆转变时,信息处理便涌现,从底层可逆微观动力中分离出宏观状态。通过度量流推广兰道尔原理至任意守恒量,推导出宏观计算的普适边界。该边界给出智能的物理度量及意识的操作类比,量化智能体从环境提取功的能力,同时最小化自身耗散。将CCE应用于物理观测极限,将测量建模为积极的粗粒化过程而非被动投影。在量子尺度,CCE恢复林德布洛德主方程,与退相干作为记录测量所需耗散的模型一致。扩展至宇宙尺度,提出引力是这些边界在宏观上的几何足迹。在此假设下,测量引起的耗散与相空间体积坍缩一致,提供通往贝肯斯坦-霍金面积定律的动力学路径。将此粗粒化产生的兰道尔耗散等同于视界形变,可极限恢复爱因斯坦场方程。最终,通过建立热耗散、量子测量与时空几何之间的载体无关联系,CCE为理解自然与人工智能提供了物理约束。

原文摘要 · Abstract (English)

While often treated as abstract algorithmic properties, intelligence and computation are ultimately physical processes constrained by conservation laws. We introduce the Conservation-Congruent Encoding (CCE) framework as a unified, substrate-neutral physical framework for studying intelligence. We propose that information processing emerges when open systems undergo irreversible transitions, carving out macroscopic states from underlying reversible micro-dynamics. Generalizing Landauer's principle to arbitrary conserved quantities via metriplectic flows, we derive a universal bound for macroscopic computation. This yields physical metrics for intelligence and an operational analogue for consciousness, quantifying an agent's ability to extract work from the environment while minimizing its own dissipative dynamics. Applying CCE to the limits of physical observation, we model measurement as an active coarse-graining process rather than a passive projection. At the quantum scale, CCE recovers the Lindblad Master Equation, consistent with modelling decoherence as the dissipative exhaust required to record a measurement. Scaling to cosmological limits, we explore the hypothesis that gravity emerges as the macroscopic geometric footprint of these bounds. We show that, under this hypothesis, measurement-induced dissipation is consistent with a volumetric phase-space collapse, offering a dynamical route to the Bekenstein-Hawking area law. Equating the Landauer exhaust of this coarse-graining to horizon deformation outlines a limiting-case recovery of the Einstein Field Equations. Ultimately, by establishing a substrate-neutral link between thermodynamic dissipation, quantum measurement, and spacetime geometry, CCE provides physical constraints for understanding both natural and artificial intelligence.

智能理论热力学量子测量引力起源

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。