Alec Barns-Graham
700 posts




hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final ((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)

nobody is doing it like my goat







@martinmbauer You ever consider that the values that exist are there because they are the only possible stable values? Put another way, reproducing stability is the only sensical governing rule.








Complex numbers have long seemed essential to #QuantumMechanics — but a paper in @PhysRevLett argues they may not be. By reformulating quantum theory using only real numbers, the authors show it can make the same experimentally-testable predictions: go.aps.org/4fURBM4















