Why uncharged particles do not feel the Lorentz force? Please do not answer with the formula $ \vec F = q\left( \vec E + \vec v \times \vec B \right) $.
Edit after an answer which is an circular reasoning. Let me explain this question with an example. Imagine, you nothing know about car traffic and you are standing at a traffic light junction. What is the law you could formulate? The green light moves the cars. In my question the moving charged particles are the cars, the light junction is the magnetic field. A running horse does not stop on red and the deeper answer is that the driver accelerate the car when he see green. So what "saw" charged particles what don't "saw" uncharged particles? Why an charged and not moving relatively to a magnetic field particle does not feel this force?