Possibilities for Probabilities

TL;DR

This paper explores potential generalizations of Born's rule in quantum mechanics, aiming to address cosmological issues while maintaining consistency with established statistical evidence in typical scenarios.

Contribution

It proposes new formulations of Born's rule that could be more suitable for cosmological applications without conflicting with existing empirical support.

Findings

Generalizations are consistent with current statistical data.

Potential to resolve cosmological probability problems.

Maintains validity in ordinary quantum experiments.

Abstract

In ordinary situations involving a small part of the universe, Born's rule seems to work well for calculating probabilities of observations in quantum theory. However, there are a number of reasons for believing that it is not adequate for many cosmological purposes. Here a number of possible generalizations of Born's rule are discussed, explaining why they are consistent with the present statistical support for Born's rule in ordinary situations but can help solve various cosmological problems.