>>12121052Say we have 2 particles that are entangled, P1 and P2. Each of these particles has 3 properties, x, y, and z, and these 3 properties can either be clockwise or counterclockwise, so lets denote that by 0 or 1.
So we entangle these particles and then we check the property x. When we check both x properties, they are ALWAYS the same. if the x is 0 for p1, it is 0 for p2, ALWAYS. This holds for y and z as well. The properties of x, y, and z are always correlated and the same every time.
So let's check the property x on P1, and the property y on P2. Again, we find that if one of them is 1 or 0, the other is the same, always, every time. So P1_x = P2_y and vice versa every time.
Now let's check the y property of one and the z property of the other. Again we find that, every single time, they are the same. So for particle 1, P1_y = P2_z and vice versa every single time with no exceptions.
So now we see that
P1_x = P2_x,
P1_y = P2_y,
P1_z = P2_z,
P1_x = P2_z,
P1_y = P2_z,
All of this implies that P1_x must equal P2_y.
But when we run the experiment to check this, it turns out that P1_x =/= P2_y. This is a contradiction, and there is nothing in classical logic or classical physics that can change this.
Assuming that "they are entangled off the bat and we just find out later when we check" like in your analogy also does not work, as you can see. That is not what the problem is about.