In Chapter V, of The Nature of the Physical World, Arthur Eddington, wrote as follows:

Linkage of Entropy with Becoming. When you say to yourself, “Every day I grow better and better,” science churlishly replies—

“I see no signs of it. I see you extended as a four-dimensional worm in space-time; and, although goodness is not strictly within my province, I will grant that one end of you is better than the other. But whether you grow better or worse depends on which way up I hold you. There is in your consciousness an idea of growth or ‘becoming’ which, if it is not illusory, implies that you have a label ‘This side up.’ I have searched for such a label all through the physical world and can find no trace of it, so I strongly suspect that the label is non-existent in the world of reality.”

That is the reply of science comprised in primary law. Taking account of secondary law, the reply is modified a little, though it is still none too gracious—

“I have looked again and, in the course of studying a property called entropy, I find that the physical world is marked with an arrow which may possibly be intended to indicate which way up it should be regarded. With that orientation I find that you really do grow better. Or, to speak precisely, your good end is in the part of the world with most entropy and your bad end in the part with least. Why this arrangement should be considered more creditable than that of your neighbor who has his good and bad ends the other way round, I cannot imagine.”

See:

https://www.researchgate.net/publication/299594711_Eddington_Chapter_V_Becoming

The Cambridge philosopher, Huw Price provides an very engaging contemporary discussion of this topic in the following short video of his 2011 lecture (27 Min.):

https://www.youtube.com/watch?v=7tClF9dUtkQ

This is well worth a viewing. Price has claimed that the ordinary or common-sense conception of time is "subjective" partly by including an emphatic distinction between past and future, the idea of "becoming" in time, or a notion of time "flowing." The argument arises from the temporal symmetry of the laws of fundamental physics --in some contrast and tension with the second law of thermodynamics. So we want to know if "becoming" in particular is merely "subjective," and whether this follows on the basis of fundamental physics. 

Chapter Eddington, Chapter V "Becoming"

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