tag:blogger.com,1999:blog-8148573551417578681.post1099836943636017930..comments2020-07-28T21:48:03.534-07:00Comments on Dark Buzz: Physicists have math phobiaRogerhttp://www.blogger.com/profile/03474078324293158376noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-8148573551417578681.post-64208582557732282142016-11-14T20:22:26.482-08:002016-11-14T20:22:26.482-08:00Correct. What we find out is that even the mathema...Correct. What we find out is that even the mathematicians don't do the math right. David Hestenes, in particular, has pointed out that linear algebra textbooks can't even teach geometric algebra. A recent book by Alan Macdonald does both in 220 pages! Hestenes affirms Poincare invocation of math as convention (map) and that flat-space GR is not only possible but somewhat natural. This makes Poincare's insights into special relativity definitively correct before Einstein! Like Evy Galois, no one listened to Grassmann (both never were mathematicians) but he invented linear algebra and exterior algebra. Even Clifford came before the 20th century. The mathematics departments are WAY BEHIND!<br /><br />"A new gauge theory of gravitation on flat spacetime has recently been developed by Lasenby, Doran, and Gull in the language of Geometric Calculus. This paper provides a systematic account of the mathematical formalism to facilitate applications and extensions of the theory. It includes formulations of differential geometry, Lie derivatives and integrability theorems which are coordinate-free and gauge-covariant. Emphasis is on use of the language to express physical and geometrical concepts."<br />http://geocalc.clas.asu.edu/pdf/NEW_GRAVITY.pdf<br /><br />Hestenes has admitted himself that he had written books too hard for most to understand: http://geocalc.clas.asu.edu/pdf/SpacetimePhysics.pdf<br /><br />Maxwell's equations become one equation, along with many theorems of calculus. It's absurd to stick with coordinates. Ignorance of history and fifth-rate mathematics instruction leads people astray. They can't even master p-values in statistics!Matthew Coryhttps://twitter.com/Cory_MD888noreply@blogger.com