It’s the beginning of a new week but the end of an old month: Monday, June 30, 2025, AD (or CE, if you prefer). After tonight at midnight, we will be in the second half of this year, for whatever that’s worth.
Of course, one can debate whether Monday is really the beginning of the week or just the beginning of the work week. Many consider Sunday to be the start of the week, at least here in this region of the “West”.
But, of course, since mainstream Christianity sees Sunday as the sabbath day, a day which is supposed to commemorate the day on which God rested after creating the world, seeing Sunday as the beginning of the week doesn’t make a lot of sense. In the “original” observance of the sabbath—the Jewish one—Shabbat falls on Saturday (beginning Friday at nightfall), which makes more sense. Then, Sunday really is the beginning of the week.
Not that any of this actually signifies anything real. The start of the week or the start of a month or the start of a year are all just as arbitrary as one’s choice of the location of the origin and the x and y axes in setting up a system of coordinates in Euclidean space (or a plane, in this case). As long as one is consistent in applying them, any calculations involved will turn out the same. It is, in a way, a kind of symmetry, which would—in physics, anyway, if one were applying Noether’s Theorem to such as absurd situation—imply a conservation law of some variety.
I suppose there is a sort of conservation of days and months, in that one cannot by adding or subtracting days or months on a calendar change the length of a year or of a lunar cycle. Although, with a big enough rocket or explosion or whatever, one could noticeably alter those things—it would be catastrophic for creatures on Earth, but this is science we’re talking about here, and if life on Earth must suffer for the advancement of science, then so much the worse for life on Earth!
I was kidding with that last bit there. I am currently alive and on Earth—though at times I rue both facts—so I don’t actually want to treat life on Earth frivolously for my own curiosity’s sake. Also, and more importantly, the people who matter most to me live on Earth*.
Anyway, over time the orbit of the moon is going to lengthen, as the moon very slowly draws farther and farther away from the Earth (which it is doing). The length of a day and of a year both also slowly and subtly change over time. Those time scales are long, though, and probably the sun will go red giant before either rate has changed enough to cause significant trouble, barring some large-scale asteroid collision or something similar.
This does, however, raise a point about the relationship of symmetry and conservation laws, à la Emmy Noether’s theorem.
It is the symmetry of translation—moving something from one place to another doesn’t change the laws of physics—that implies conservation of momentum. And it is the symmetry of rotation—it doesn’t matter in what direction you’re oriented, the laws of physics are the same—that implies conservation of angular momentum. And it is the symmetry of time—the laws of physics don’t change from one moment to the next—that implies the conservation of energy.
But here’s the rub: on the largest of scales, the universe is not time symmetric; the past is significantly different than the present (and the future). And so, on long time scales, the conservation of energy does not apply. This is not merely a case in which I’m playing word games, by the way. In this instance, I am speaking the truth about the nature of energy at the level of the cosmos according physics as it is understood today.
It’s an interesting question whether our local asymmetry in time—i.e., that the direction toward the “Big Bang” looks quite different from the other direction in time—is really just a local phenomenon. That may seem strange, but perhaps it will be useful to consider an analogy with the various dimensions of space.
In space, in general, there is no directionality to the three dimensions. One can go up and down, back and forth, and from side to side with equal ease, at least in space in general. However, if you live on the surface of the Earth**, there is a very real difference between “up-down” and the other two sets of directions.
This apparent directionality to space is caused, of course, by the gravitational effect of the mass of the Earth itself. It is an entirely local directionality, caused by a local phenomenon. And similarly, the seeming directionality of time may be merely because we are “near” (in time) to a local, powerfully influential phenomenon: whatever caused the Big Bang and produced a region in time of extremely low entropy and significant expansion, whether it is cosmic inflation or something else.
It seems pretty clear that, as entropy increases “over time”, the difference between past and future will become less and less noticeable, until eventually, there will be effectively no directionality to time***. And so, in the “heat death” of the universe, the conservation of energy would steadily apply more and more, even at cosmic scales.
Not that there would be anyone to notice.
Of course, one can ask if there exists more than one time dimension. I have asked this before, myself, I think on my other blog, Iterations of Zero. But now there are some serious physicists entertaining the notion. This sort of thing always makes me feel at least a little bit clever: when I thought of something before the mainstream physics articles were published (or at least before I encountered them).
Anyway, that’s enough of that for now, this morning. I hope you all have as good a week as you can. Well, you will inevitably have as good a week as you can, but I hope it will subjectively be good for you, too.
*I am not one of those people.
**As I suspect most of you do, at least physically.
***Very much in the way that, as one gets farther and farther away from the surface of some strongly gravitating body, like a planet, the difference between up and down becomes less and less prominent and finally vanishes into undetectability.






