Talk given at PhD defence

1. Lectio Praecursoria
Tapio Salminen
University of Helsinki
Department of Physics
19th August 2011

2. Noncommutative
Quantum Field Problem andSome
Theory: of Time Applications

3. Part 1
Noncommutative
Quantum Field Theory

4. Science is about
observing
and
predicting

5. Microscope
Length, l ~ 10 cm
-5
Energy, E ~ 10 GeV
-9

6. LHC
l ~ 10-17cm
E ~ 103GeV

7. Planck scale
l ~ 10 cm
-33
19 eV
E ~ 10 G

8. Uncertainty of space-time coordinates:
“Space-space “Time-space
noncommutativity” noncommutativity”
or, equivalently:
Commutator
Noncommutative space(-time)

9. Part 2
Problem of
Time

10. Causality
Commutative space-time
Future
Effect
Now
Cause
Past

11. Causality
Space-space noncommutativity
Effect
Cause

12. Causality
Time-space noncommutativity
Effect
Impossibility
of making
predictions
Cause

13. Part 3
Some
and
Applications

14. Magnetic monopole
Commutative space-time
Dipole Monopole

15. Magnetic monopole
Commutative space-time
Quantization of
electric and
magnetic charge
magnetic charge
electric charge

16. Magnetic monopole
Space-space noncommutativity
Noncommutative effect in
the quantization condition
Observer-dependence
introduced

17. Magnetic monopole
Space-space noncommutativity

18. Thank you