在自发波函数塌缩模型中，为何只有费米子塌缩，而不是玻色子？
In models of spontaneous wave-function collapse, why only fermions collapse, not bosons?
AI总结：
本文在广义迹动力学中，通过分析迹拉格朗日量的结构，揭示了费米子部分因具有反自共轭贡献而成为塌缩通道的原理。
摘要：
客观塌缩模型通常被实现为塌缩仅作用于费米子（物质）部分，而玻色子场不经历根本性的塌缩。在广义迹动力学（GTD）中，当迹哈密顿量具有显著的反自共轭成分时，预期会出现自发局部化。在本文中，我们从由两种不等价的矩阵速度$\dot Q_1$和$\dot Q_2$表示的STM-原子（时空-物质原子）迹拉格朗日量出发，证明纯玻色子子部分具有自共轭哈密顿量，而费米子部分则具有内在的反自共轭贡献。关键的结构输入是使迹拉格朗日量成为玻色子需要插入两个不相等的奇阶格拉斯曼元素$β_1\neq β_2$。假设这些元素具有自然的伴随性质，我们通过迹导数canonical动量（分别处理玻色子和费米子变化）显式计算迹哈密顿量，并分离出由此产生的反自共轭项。这为在GTD中提供了一个从原理上解释为何只有费米子自由度作为塌缩通道的机制。
英文摘要：
Objective collapse models are often implemented so that collapse acts only on the fermionic (matter) sector, while bosonic fields do not undergo fundamental collapse. In generalized trace dynamics (GTD), spontaneous localization is expected to arise when the trace Hamiltonian has a significant anti-self-adjoint component. In this note we show, starting from the STM-atom (spacetime-matter atom) trace Lagrangian written in terms of two inequivalent matrix velocities $\dot Q_1$ and $\dot Q_2$, that the purely bosonic subsector admits a self-adjoint Hamiltonian, whereas the fermionic sector carries an intrinsic anti-self-adjoint contribution. The key structural input is that making the trace Lagrangian bosonic requires insertion of two \emph{unequal} odd-grade Grassmann elements $β_1\neq β_2$. Assuming natural adjoint properties for these elements, we compute the trace Hamiltonian explicitly via trace-derivative canonical momenta (with bosonic and fermionic variations treated separately) and isolate the resulting anti-self-adjoint term. This provides a first-principles mechanism, within GTD, for why only fermionic degrees of freedom act as collapse channels.
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