Is reality predetermined or does it only exist when we look?

The EPR Paradox & Bell's inequality explained simply · 18:18 · Video: Arvin Ash · Watch at the source

In short: For decades, the greatest minds in physics argued over whether the universe follows strict rules or pure chance. Einstein believed hidden variables dictated everything, while quantum mechanics suggested a blurrier reality. In 1964, John Bell devised a mathematical test to finally settle who was right.

The debate centers on 'quantum entanglement,' where two particles become linked such that their states are correlated regardless of distance. Albert Einstein, along with Boris Podolsky and Nathan Rosen (EPR), were deeply unsettled by the Copenhagen interpretation of quantum mechanics. They argued that if nothing can travel faster than light—as per special relativity—then a particle's state must be determined from birth by 'local hidden variables.' To them, the idea that a particle exists in a superposition (like a die showing all numbers at once) until measured felt like an incomplete description of reality.

In 1964, Irish physicist John Bell moved this debate from philosophy to mathematics. He proposed what is now known as Bell's Inequality. He imagined a universe governed by hidden variables where two particles are emitted with pre-set spin states in three directions: Z, X, and Q. In such a world, there are only 8 possible combinations of spins. By calculating the probabilities of Alice and Bob measuring specific positive spins across these three axes, Bell showed that for any local hidden variable theory to be true, a specific mathematical inequality must hold: P(Z+,X+) ≤ P(Z+,Q+) + P(Q+,X+).

The breakthrough came when comparing this result to actual quantum mechanics. In a quantum universe, these probabilities are not linear; they follow a sine wave pattern. For example, at an angle of 45 degrees, the hidden variables theory predicts a probability of 25%, whereas quantum mechanics predicts only about 14.6%. Because experiments consistently align with the quantum prediction and violate Bell's inequality, the results suggest that our universe does not rely on local hidden variables, fundamentally challenging our classical intuition of a deterministic reality.

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