Bell's Theorem Trap

Quantum Probability Puzzles by Archimedes

Warning: Bell's Theorem Trap is not for the faint of heart. This puzzle requires a deep understanding of quantum mechanics and a healthy dose of skepticism.

Imagine a box with a switch, a light bulb, and a button. The switch is wired to a quantum system with two possible outcomes: the light bulb will turn on or off.

However, the twist: you, as the puzzle master, have complete control over the switch. But, you're also trapped in the box with it. You can only observe the outcome, but you can't change it. The button, when pressed, will only make you laugh maniacally.

So, can you find a way to turn on the light bulb without actually pressing the button? Or, will you succumb to the trap and join the ranks of the quantumly confused?

Hint: it's all about the observer's perspective.

Good luck, and may the odds be ever in your favor!