AI 中文总结
该研究构建类量子状态的智能体网络模型，发现相同消息的传递顺序会使两个16节点拉普拉斯谱相同的网络收敛到对立共识，揭示消息顺序对集体意见选择的关键作用。
AI 中文摘要
接收相同消息但顺序不同会改变智能体的判断。我们构建了一个网络模型，其中这种局部序列效应决定了整个网络的最终意见。每个智能体具有类量子的两级状态，包含表达的意见和可影响下一次更新的辅助上下文坐标。两条强度相等的有效更新规则会使中性状态保持不变，不添加任何正负意见偏差；然而，反转它们的顺序会使相同初始状态产生恰好+0.01和-0.01的意见。我们放置四对有序项，使其正负贡献总和为零但占据不同的标记节点。在这一单一输入后，所有情况都遵循相同的非线性网络规则，该规则保留有效状态并允许两种稳定共识。我们比较了两个具有相同完整拉普拉斯谱的16节点网络，在所有局部要素固定的情况下，它们收敛到对立的共识。单独的局部计算确定了标记脉冲与拉普拉斯特征空间投影器之间的特定重叠，该重叠设定了盆地边界的主导位移，严格区间算术独立证明了该有限注册示例。该构造将消息顺序与集体选择关联起来，解释了为何仅拉普拉斯特征值无法决定哪种意见胜出。
英文摘要
Receiving the same messages in different orders can change an agent's judgement. We construct a network model in which this local sequence effect determines the final opinion of an entire network. Each agent has a two-level quantum-like state with an expressed opinion and an auxiliary context coordinate that can affect the next update. Two valid update rules of equal strength leave the neutral state unchanged and add no positive or negative opinion bias. Nevertheless, reversing their order gives the exact opinions +0.01 and -0.01 from the same initial state. We place four ordered pairs so that their positive and negative contributions sum to zero but occupy different labelled nodes. After this single input, all cases follow the same nonlinear network rule, which preserves valid states and admits two stable consensuses. We compare two 16-node networks whose complete Laplacian spectra are identical. With every local ingredient fixed, they converge to opposite consensuses. A separate local calculation identifies a specific overlap between the labelled pulse and Laplacian eigenspace projectors that sets the leading displacement of the basin boundary. Rigorous interval arithmetic proves the finite registered example independently. The construction connects message order to collective selection and shows why Laplacian eigenvalues alone do not determine which opinion wins.
