I have now gone through more of the troubleshooting process:
I replaced the HDMI cable with one that has better shielding more bandwidth.
I switched all of the data cables, at both ends, to different ports.
I removed the hub from the equation and connected the video directly from my laptop to the television.
None of that fixed the problem.
On the negative side of the testing:
I verified that my camera is not affected by the problem. The camera sits on top of the tv and it’s cable runs right next to the HDMI video cable all the way from my laptop to the tv.
I tested everything for susceptibility to vibration by shaking the laptop, television, and cable. I was unable to reproduce the problem that way.
I don’t have direct access to the underfloor of that room, but I do have access between that room and the breaker box. All the wiring goes in along the outer wall, so I doubt there is anything running under the middle of the floor, which is where the problem gets triggered.
The more possibilities I eliminate, the stranger this gets.
Can anyone suggest more things to try? Or propose a theory for how this is happening?