If in place of Squared_Modulus, our magical tool was some linear function—any function where F(X + Y) = F(X) + F(Y)—then all the quantumness would instantly vanish and be replaced by a classical physics.
I am having trouble working out linearity of functions. Let’s say we take a linear function F(x) = x + 5. Then we use the above linearity you mention F(5 + 6) = F(5) + F(6).
We get F(11) = F(5) + F(6).
If we work that out we get ⇒ 11 + 5 = 5+5 + 6+5.
The result is 16 =/= 21.
So, the linear function doesn’t have linearity as its property?
I am confused.
I don’t believe this is a good example. That information actually can change your anticipation.
By knowing that information you can expect the book will be set in a post-utopian world. By anticipating that you can maybe take better notice at the setting and how exactly the world is post-utopian.
But a great article nevertheless.