book chapter in ”Measurements in Quantum mechanics ”, ISBN 979-953-307-752-8

ulf.klein@jku.at

1 Introduction

2 Basic equations for a class of statistical theories

3 Gauge coupling as a consequence of a multi-valued phase

4 A constraint for forces in statistical theories

5 Fisher information as the hallmark of quantum theory

6 Spin as a statistical degree of freedom

7 ’Missing’ quantum spin terms from Fisher information

8 Spin as a consequence of a multi-valued phase

9 Transition to N particles as final step to non-relativistic quantum theory

10 The classical limit of quantum theory is a statistical theory

11 Extended discussion

12 Summary

References

2 Basic equations for a class of statistical theories

3 Gauge coupling as a consequence of a multi-valued phase

4 A constraint for forces in statistical theories

5 Fisher information as the hallmark of quantum theory

6 Spin as a statistical degree of freedom

7 ’Missing’ quantum spin terms from Fisher information

8 Spin as a consequence of a multi-valued phase

9 Transition to N particles as final step to non-relativistic quantum theory

10 The classical limit of quantum theory is a statistical theory

11 Extended discussion

12 Summary

References