ajb

Hello and welcome to SFN.

I see you do some teaching. I have done a little of that myself, usually in the form of small tutorials and examples classes. Usually good fun, though it can take up time preparing.

All the best

Andy

Hello,

I was wondering if you would like to join us on chat?

I would like to know more about your ideas about mechanics and special relativity.

Thank you

AJB

Hello,

I to live in Wales.

I am no genius.

I would say that scalar EM is bogus. I doubt it is even formulated very well.

I quite like Nakahara's book, thought it is not the most complete book mathematically speaking. It does however introduce you to many of the basic ideas of topology and geometry.

Isham's Modern di®erential geometry for physicists is also quite good, but again lacks some rigour. Tohru Eguchi, Peter B. Gilkey, and Andrew J. Hanson. Phys. Rept.,66 is also good.

K...

I think the frame in which the photon is stationary is not inertial. Thus it is not one of the preferred frames in Special Relativity.

You can preform a transformation from an inertial frame to a non-inertial frame. Lets just think of any non-inertial frame, rather than the one you are thinking of.

The formalism for dealing with non-inertial frames is very reminiscent of that for general relativity. In a non-inertial frame the metric will not be of the canonical form diag(-1,+1,+1,+1), but something more general. In passing from the inertial frame to the non-inertial frame one picks up fictitious forces, much as you do in classical mechanics. For example, in classical mechanics in a rotating frame you get Coriolis forces and centrifugal forces. Something similar will happen in Special Relativity.

However, the fictitious forces should not be considered as gravity as the metric is still flat. Thus, we are still in special relativity, albeit in a weird looking form.

Odd variables appear in quantum field theory when looking for semi-classical descriptions of fermions, like the electron and also are needed in gauge theories like Yang-Mills. Supersymmetric theories uses them, including superstring theory. They also can be very useful linear algebra and differential geometry as a neat description of alternating forms.

So, Ok maybe I could include ...

Sorry about chat.

If you are interested in learning some mechanics I can point you towards some references?

Teaching is plan c at the moment.

Maybe in a college would suit me more than a high school.

Thanks for the offer.

666 rep point, it is a sign!

A masters student wants to work on a project with me - something to do with Riemannian supergeometry is going to be the topic - first masters student I will look after.

Another paper accepted, this one is on generalising some aspects of Riemannian geometry to Lie algebroids and sigma models

Been busy... I may return one day.

Been giving aliencore music a go - Rings of Saturn in particular.

Been very busy, then my wife is taken ill and is in hospital. I won't be able to participate on the forums as much as I used to for a while.

Can the AKSZ-BV formalism be modified to take into account more general gradings?

Dedicated a preprint to my father - http://arxiv.org/abs/1608.01585

Don't you hate that feeling of self-doubt just before you submit a paper?

Entropy and the arrow of time - the most misunderstood aspect of statistical physics and the bain of all property landlords. Maybe I should organise some lectures on statistical phsyics, entropy and the unavoidable fact that things age aimed at landlords?

Feeling happy: I have got my paper on Loo-algebroids accepted for publication.

Feeling pleased: My first joint paper has been accepted for publication in J. Phys. A: Math. Theor. (I'll blog about it later)

Finally I made some progress... the order matters so very much!

Had a short break.. back to work Monday

I am getting my algebroids all in a twist!

I am going to give a talk at the University of Swansea - my old undergrad uni. The talk will be about Lagrangian mechanics on supermanifolds.