Could the born rule possibly be a result of particle interaction?

TechWiz256

New member
And are there any scientific papers that consider this possibility?

This is my hypothesis:

Suppose there are four different types of particles, A, B, A-, B-. Changes in A particles produce B particles. Changes in B particles produce A- particles. Changes in A- particles produce B- particles. Changes in B- particles produce A particles. This could be written as a set of 4 differential equation, similar to Maxwell's equations, but lacking directionality (because these are free particles). The probabilities that result from the Born rule could then be derived from particle interactions. A and A- cancel. B and B- cancel. A and A interaction produce real probability. Also, B and B interaction produce real probability, thus you get:

Probability of detecting particle = [ (A - A-)^2 + (A - A-) + (B - B-)^2 + (B - B-) ] / 2

Since the linear terms are negligible for large (A - A-) and (B - B-) and the factor of 2 is a constant, you get the born rule:

Probability of detecting particle ~ (A - A-)^2 + (B - B-)^2


The way this could be tested is with an anomalous probabilities in VERY near field interactions (because the negligible terms aren't so small at close distances) .

Thoughts?
 
Back
Top