Can someone explain to me why advances in actual model performance come from using analogies from physics when there are papers that supposedly provide a mathematical explanation of convolution?

"A Mathematical Theory of Deep ConvolutionalNeural Networks for Feature Extraction":

https://arxiv.org/pdf/1512.06293.pdf

"Understanding Convolutional Neural Networks with A Mathematical Model":

https://arxiv.org/pdf/1609.04112.pdf