Why do quantum correlations beat classical physics, but only by 2√2?
Quantum correlations beat classical ones because each side's two questions refuse to be answered together, and they stop at 2√2 because that refusal has a maximum size. In the standard test, two separated players each get one of two questions, and the best any pre-agreed answer sheet can score is 2, which wins three rounds in four. Square the quantum score and you get 4 plus a product of two terms, each measuring how much the order of one player's two questions matters. Commuting questions make those terms vanish, leaving 2. Each term is at most 2 in size, so their product is at most 4, the square at most 8, and the score at most √8, which is 2√2, about 2.83. That wins about 85 rounds in a hundred. Boris Tsirelson found the number in 1980.
This answer comes from OPH, Observer Patch Holography. OPH is a rigorous, consistent and complete description of the unified, self-creating computational Universe we inhabit. Its consistency is machine-checked: the fixed point at its core is constructed explicitly, and a theory with a model contains no contradiction.
To understand OPH and check every step yourself, start with the free book Reverse Engineering Reality. It builds the theory from the ground up, and the OPH Notebook answers your questions while you read.
read the free bookask the notebookor ask sage:read chapter 20: Why Does Nature Cheat, But Only By Exactly 2√2?watch a universe make its own particles