Abstract
Can purely mechanical systems generate intelligent language? We prove that dissipative quantum dynamics with analytically tractable non-local context aggregation produce coherent text generation, while conservation laws cause fundamental failure. Employing Koopman operators with closed-form path integral propagators, we show irreversible computation fundamentally requires both controlled information dissipation and causal context aggregation. Spectral analysis reveals emergent eigenvalue structure, separating into decay modes (forgetting), growth modes (amplification), and neutral modes (preservation) -- the essential ingredients for directed information flow. Hamiltonian constraints force the elimination of these dissipative modes and degrading performance despite unchanged model capacity. This establishes language generation as dissipative quantum field theory, proving mechanical systems acquire intelligence through the combination of dissipation and non-locality, not through conservation.
Abstract (translated)
完全机械系统能否生成智能语言？我们证明，具有解析可处理的非局部上下文聚合的动力耗散量子动力学会产生连贯的文本生成，而守恒定律则会导致根本性的失败。通过使用具有封闭形式路径积分传播器的Koopman算子，我们展示了不可逆计算从根本上需要受控信息耗散和因果上下文聚合。谱分析揭示了出现的特征值结构，分为衰减模式（遗忘）、增长模式（放大）和中性模式（保存），这些是定向信息流的关键成分。哈密顿量约束强制消除了这些耗散模式，并且即使模型容量不变，性能也会下降。这将语言生成确立为耗散量子场论，证明了机械系统通过耗散和非局部性的结合获得智能，而不是通过守恒。
URL
https://arxiv.org/abs/2601.00860
