David Mermin sayscorrectly that the spacetime of special relativity does not by itself describe our experience of Now. He also notes that we are “complex, extended entities.” A natural conclusion is that a notion of Now is not built into the fundamental laws of physics. Rather, it arises from the particular way our brains are organized to process temporal information—a way that is consistent with the fundamental laws but not an inevitable consequence of them. Reference provides simple models of how that works within familiar classical physics, including special relativity.
That conclusion is supported by models of observing systems that do not have a past, present, and future way of organizing temporal information and that are also consistent with the fundamental laws.
The Week in Physics" is likely a reference to the regular updates or summaries of new physics research, such as those found in publications like Physics Today from AIP Publishing or on news aggregators like Phys.org.