Experiments have already shown that if you want to invoke signals to explain things, the signals would have to be travelling faster than light — more than 10,000 times the speed of light, in fact. To those who know that Einstein’s relativity sets the speed of light as a universal speed limit, the idea of signals travelling 10,000 times as fast as light already sets alarm bells ringing. However, physicists have a getout: such signals might stay as ‘hidden influences’ — useable for nothing, and thus not violating relativity. Only if the signals can be harnessed for faster-than-light communication do they openly contradict relativity.
The new hidden influence inequality shows that the get-out won’t work when it comes to quantum predictions. To derive their inequality, which sets up a measurement of entanglement between four particles, the researchers considered what behaviours are possible for four particles that are connected by influences that stay hidden and that travel at some arbitrary finite speed.
Mathematically (and mind-bogglingly), these constraints define an 80-dimensional object. The testable hidden influence inequality is the boundary of the shadow this 80-dimensional shape casts in 44 dimensions. The researchers showed that quantum predictions can lie outside this boundary, which means they are going against one of the assumptions. Outside the boundary, either the influences can’t stay hidden, or they must have infinite speed.
Experimental groups can already entangle four particles, so a test is feasible in the near future (though the precision of experiments will need to improve to make the difference measurable). Such a test will boil down to measuring a single number. In a Universe following the standard relativistic laws we are used to, 7 is the limit. If nature behaves as quantum physics predicts, the result can go up to 7.3.
So if the result is greater than 7 — in other words, if the quantum nature of the world is confirmed — what will it mean?
Here, there are two choices. On the one hand, there is the option to defy relativity and ‘unhide’ the influences, which means accepting faster-than-light communication. Relativity is a successful theory that researchers would not call into question lightly, so for many physicists this is seen as the most extreme possibility.
The remaining option is to accept that influences must be infinitely fast — or that there exists some process that has an equivalent effect when viewed in our spacetime. The current test couldn’t distinguish. Either way, it would mean that the Universe is fundamentally nonlocal, in the sense that every bit of the Universe can be connected to any other bit anywhere, instantly. That such connections are possible defies our everyday intuition and represents another extreme solution, but arguably preferable to faster-than-light communication.
“Our result gives weight to the idea that quantum correlations somehow arise from outside spacetime, in the sense that no story in space and time can describe them,” says Nicolas Gisin, Professor at the University of Geneva, Switzerland, and member of the team.
via Looking beyond space and time to cope with quantum theory.