Magnitudes along different dimensions (e.g., space and time) tend to interact with each other in perception, with some magnitude dimensions more susceptible to cross-dimensional interference than others. What causes such asymmetries in cross-dimensional magnitude interaction is being debated. The current study investigated whether the representational noise of magnitudes modulates the (a)symmetry in space–time interaction. In three experiments using different formats of length, we showed that dynamic unfilled lengths resulted in a higher representational noise than either static unfilled length or static filled length. Correspondingly, we observed that the time-on-space effect was larger for dynamic unfilled lengths than for static unfilled length or static filled length (and it did not differ between the latter two). Further correlational analyses showed that the susceptibility of a target dimension to the influence of a concurrent dimension increased as a function of participants’ representational noise in the target dimension (e.g., the noisier length representations, the larger the time-on-space effect). In all, our study showed that the representational noise of space and time modulates the way the two dimensions interact. These findings suggest that cross-dimensional magnitude interactions arise as a result of memory interference, with noisier magnitudes being more prone to being nudged by concurrent magnitudes in other dimensions. Such memory interference can be seen as a result of Bayesian inference with correlated priors between magnitude dimensions.

沿不同维度（例如，空间和时间）的量级倾向于在感知上相互影响，其中一些量级维度比其他量级更容易受到跨维度干扰。是什么导致了跨维量级相互作用中的这种不对称性正在争论中。目前的研究调查了幅度的代表性噪声是否会调节时空相互作用中的（a）对称性。在使用不同长度格式的三个实验中，我们表明动态未填充长度导致比静态未填充长度或静态填充长度更高的代表性噪声。相应地，我们观察到动态未填充长度的空间时间效应大于静态未填充长度或静态填充长度（后两者之间没有差异）。进一步的相关分析表明，目标维度对并发维度影响的敏感性随着参与者在目标维度中的表征噪声的增加而增加（例如，噪声长度表征越多，时间对空间的影响越大）。总之，我们的研究表明，空间和时间的代表性噪声调节了两个维度相互作用的方式。这些发现表明，跨维度的幅度相互作用是由于记忆干扰而产生的，噪声幅度更大更容易受到其他维度中同时出现的幅度的推动。这种记忆干扰可以看作是贝叶斯推断与幅度维度之间的相关先验的结果。