the known laws of physics are symmetrical under t=-t.
This is probably not correct. We know that CP symmetry is broken. There are good theoretical reasons to believe that CPT symmetry holds. Consequently T symmetry must be broken.
To quote from here:
Fredkin has suggested [here] that CPT symmetry is an immediate consequence of T symmetry - i.e. that inverting T has as its consequence inverting the parity and charge of all particles.
...for the reason to think that it is T symmetry, not CPT symmetry that holds.
Charge and Parity are likely to be implemented using internal rotation or sequences - and so will reverse automatically if T=>-T. We don't have to manually reverse particle momenta or spin if we are running things backwards. That happens automatically. The idea is that ...
http://lifeboat.com/blog/2011/06/dear-dr-hawking
Hey guys, my quantum physics is not powerful enough to understand this guy... Can anyone help me out with this one?
Thanks LW