Our Templeton-funded "New Agendas for the Study of Time: Connecting the Disciplines" has recently completed.
We organised 5 international conferences (2 more than originally planned) and produced more than 50 time-related research papers, plus a few edited books.
In a recent publication for the project (links: published version; preprint) Matt Farr (Centre for Time, Sydney) and Alexander Reutlinger (Munich Center for Mathematical Philosophy) assess whether the time symmetry of physical theories excludes causation from the picture of the world given by fundamental physics.