Posts

MathJax in blogger. How I did it.

Copy the code from  http://irrep.blogspot.com/2011/07/mathjax-in-blogger-ii.html  or from the bottom of this post. 1.Go to Layout then 2.Sidebar(Top) "Add Gadget" then 3.HTML from third party. and 4.Paste the code. That's it.  $\star$ $\blacksquare$ $\Psi$ < script src=' http://cdn.mathjax.org/mathjax/latest/MathJax.js' type='text/javascript ' > MathJax . Hub . Config ({ HTML : [ "input/TeX" , "output/HTML-CSS" ], TeX : {  extensions : [ "AMSmath.js","AMSsymbols.js" ],  equationNumbers : { autoNumber : "AMS" } }, extensions : [ "tex2jax.js" ], jax : [ "input/TeX" , "output/HTML-CSS" ], tex2jax : { inlineMath : [ [ '$' , '$' ], [ "\\(" , "\\)" ] ], displayMath : [ [ '$$' , '$$' ], [ "\\[" , "\\]"...

E and D

According to the source below, E is a 1-form. Not a vector! (According to other reputable sources, the 2-form in full Minkowski spacetime is a better representation.) D is a 2-form. (BUT, according to  https://physics.stackexchange.com/questions/86510/maxwells-equations-using-differential-forms  they are both 2 forms in 4d spacetime .) $\star$dx=dydz $\star$dy=dzdx $\star$dz=dxdy And D= $e_0$ $\star$E "The surfaces of E are perpendicular to the tubes of D" And "The star operator relates 1-form surfaces to perpendicular 2-form tubes." And "...the star operator depends on a metric. If the metric is related to the permittivity or the permeability tensor, anisotropic star operators are obtained, and the constitutive relations become D= $\star_a$ E. Graphically, an anisotropic star operator acts on 1-form surfaces to produce 2-form tubes that intersect the surfaces obliquely rather than orthogonally." https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?articl...

my old stackexchange account

 https://physics.stackexchange.com/users/9267/madscientist?tab=questions

A photon travels in a vacuum from A to B to C. From the point of view of the photon, are A, B, and C at the same location in space and time?

 https://physics.stackexchange.com/questions/612895/a-photon-travels-in-a-vacuum-from-a-to-b-to-c-from-the-point-of-view-of-the-pho

Can we make a symmetric wavefunction out of two anti-symmetric wavefunctions?

 https://physics.stackexchange.com/questions/612929/can-we-make-a-symmetric-wavefunction-out-of-two-anti-symmetric-wavefunctions

An electron behaves as if it lives on a Mobius strip… Why don't we just say that electrons live on Mobius strips?

 https://physics.stackexchange.com/questions/613068/since-an-electron-behaves-as-if-it-lives-on-a-mobius-strip-its-a-spinor-wh

Nice physics things.

 An Introduction to Spinors.  https://arxiv.org/pdf/1312.3824.pdf Spinor Calculus Mit Lecture  Chapter 5 illustrates how a Spinor behaves like a cone on a cone. https://ocw.mit.edu/resources/res-8-001-applied-geometric-algebra-spring-2009/lecture-notes-contents/Ch5.pdf Teaching E&M using differential forms. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1668&context=facpub David Tong Lectures http://www.damtp.cam.ac.uk/user/tong/teaching.html [Highlights: First 3 Chapters on Statistical Mechanics. E&M on Magnets and Units. Spinors in Relativistic Dynamics. QFT, Popular Lecture on Newton.]   Can You See the Lorentz–Fitzgerald Contraction?  Or: Penrose–Terrell Rotation https://math.ucr.edu/home/baez/physics/Relativity/SR/penrose.html John Baez’s Stuff https://math.ucr.edu/home/baez/ https://math.ucr.edu/home/baez/physics/Relativity/GR/energy_gr.html The Meaning of Imaginary Time on Physics.Stackexchange How to be a good Theorist 't ho...