As I have not even taken an undergraduate course in quantum physics please overlook my ignorance. I am curious about the nature of the electromagnetic fields and quantization. In the class I just took on electromagnetism we learned Maxwell's equations. If I take the Helmholtz wave equation solution at face value I can use any frequency I like. I can pick a value for omega to infinite precision. If I can move a charge in space-time with infinite precision I can create a wave of infinite information. This can't be true. Therefore I must not be able to create a wave of infinite precision. Is this because the energy I am using to create the wave is quantized, because space-time is quantized, or because the electromagnetic field itself is quantized?