So yeah, today it seem like the moon was NOT half, but slightly bigger (about 60%). It may not be clearly seen on the picture, but when you look at the Moon IRL you would see it very clearly. Yesterday the moon was undoubtedly half, because the "cut" of the Moon looked exactly "straight". Today, as you may see from the picture, it is slightly curved.
Once again, this is not very good for my theory. Any suggestions, opinions would be greatly appreciated.