Great constellation of ideas. Thank you! As a physicist, my way of thinking about symmetries has to do with group theory, as a language to describe them, but the meaning of symmetry seems to be deeply ontological as a way to restrain possibility and thus allow for an understanding of the necessity of what actually is. Specifically, the basic symmetries of nature given by the special theory of relativity and quantum mechanics, when combined (i cannot resist analogy to the vertical and horizontal being combined in music) prescribe the types of fundamental particles that can exist. So far we have found all but one type, the spin 3/2, which is prescribed by enlarging the symmetries seen thus far to supersymmetry. Thousands of scientists are looking for that in CERN and other places. What I am saying is that this way of thinking about the world of music is perfectly mirrored in the way we think about the world of matter. It is a special convergence and I hope it adds to your constellation. There are many more ideas to be discussed on this topic, for example a method to generalize Messiaen's procedure of combining the vertical and horizontal. Kind regards!
Great constellation of ideas. Thank you! As a physicist, my way of thinking about symmetries has to do with group theory, as a language to describe them, but the meaning of symmetry seems to be deeply ontological as a way to restrain possibility and thus allow for an understanding of the necessity of what actually is. Specifically, the basic symmetries of nature given by the special theory of relativity and quantum mechanics, when combined (i cannot resist analogy to the vertical and horizontal being combined in music) prescribe the types of fundamental particles that can exist. So far we have found all but one type, the spin 3/2, which is prescribed by enlarging the symmetries seen thus far to supersymmetry. Thousands of scientists are looking for that in CERN and other places. What I am saying is that this way of thinking about the world of music is perfectly mirrored in the way we think about the world of matter. It is a special convergence and I hope it adds to your constellation. There are many more ideas to be discussed on this topic, for example a method to generalize Messiaen's procedure of combining the vertical and horizontal. Kind regards!