I will propose various enigmas (I'll try to propose as many as I can). Here is one of them...
If you are aware of the basic principals of physics, take a look at this phenomenon. As you know, electrons behave like particles and also behave like waves. This means that a moving electron can in certain cases perform like a wave, and so it's path will have a specific wavelength and frequency. It performs like a particle because it is moving and so has kinetic energy, a characteristic of something with mass.
As you know, when we create water waves, by throwing some particle into a water tank or even when we touch the surface of a liquid with our fingers, these waves interact with each other, altering the amplitude in certain places of the waves. This creates a completely different pattern (pattern Z) than the one created by a single wave (pattern X), that does not interfere with any other.
Now, imagine you have one electron (remember, just one electron) behaving like a wave, and this is, only one wave with a specific wavelength and frequency. What do you think would be the pattern created in this case? If you say pattern X, which means no interference you would be in good company. Most scientists would do agree with you. The fact is Nature has an unique way of working, not intuitive in this case to human thought.
Experiences prove that the pattern created is pattern Z, with interference. But how can one electron interfere with nothing else?... It has got no other particle (or wavelike particle to interfere with), but that's what happens. Definitely, an enigma to be solved. If you think you can solve it, give me a call, or, call the scientific community and give them something to think about...