Quantum Tunneling is the quantum phenomena of an electron using wave-like properties to have a chance of passing through a solid entity instead of being repelled from it.
Although that sounds complicated, the basic idea is that the particles have a chance of passing through a solid object. Seeing that a lot of quantum phenomena are based around probability, that doesn't make Quantum Tunneling any different.
However, some interesting ideas can be thought of in relation to Tunneling. For example, the idea of Phasing through solid objects might be possible.
Don't ponder about this for too long.
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