DaveC426913 said:
This claim has come up on PF before. IIRC, anti-matter being time-reversed was a speculation put forth by Feynman, but it never went anywhere and sort of languished.
In QED and QCD, an anti-particle is represented by a time-reversed current. Furthermore, they carry negative 4-momentum. Now, whether this has any physical significance or not is an open question, but a backwards-propagation does properly describe the physics. That's what all our standard model particle physics is based on. This could be just a convenient description, of course. To any observable, it doesn't make a difference. Until you start dealing with stat-mech, time is just a parameter, and whether it's increasing or decreasing along the path of particular particle doesn't make any difference.
However, depending on geometry, that can make a difference at Big Bang. Consider a simple EP annihilation event at 0th order. You have electron coming in, emitting two photons at two vertices, and recoiling "back in time". Or, you can view this as a positron coming in and annihilating with electron. (But which vertex did annihilation take place at, hm?) Anyways, the reason for two photons emitted is conservation of angular and 4-momenta. Another way to conserve that momentum is to have electron leave in the same time direction. So electron comes in, electron comes out. We can simplify it to a single "vertex", which is now a 2-point function, lacking the photon, also known as the propagator. So it looks like an electron that simply buzzed through. Nothing interesting.
Now place that "vertex" at t=0 of Big Bang. Suppose, geometry is such that universe expands on both sides. So on both sides, you'd conclude that you are on t>0 side of the Big Bang. Entropy is increasing, so you must be moving forward in time, and the Big Bang is in the "past". However, the electron we threaded through to both sides is going with the time flow on one side, and against it on the other. (Again, actual direction is by convention, so the guys on the other side would say that
we got it wrong, but whatever.) So you end up with matter and anti-matter split between two time lines.
Naturally, just speculation. I'm only mentioning it as a possibility. But it is a possibility that is entirely consistent with the standard model and General Relativity, and it does not require any bells and whistles from Symmetry or Strings.