The BBC is a statutory corporation -- one created by an act of Parliament (e.g., the British Government). Thus, the British government "owns" the BBC, and enforces an excise to fund its operation.
Thus, British citizens have three options: (1) Pay the fee and watch the telly; (2) Don't pay the fee and watch for enforcers; (3) Don't pay the fee and keep the telly switched off.
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The mere fact that science may not yet adequately explain an object, event, or experience does not mean the immediate explanation should automatically default to a conspiratorial, extraterrestrial, paranormal, or supernatural cause.