Independence Definition and 355 Threads

It is said that a flaw in string theory is that it is background dependent, whilst loop quantum gravity isn't background dependent. I don't see why this would actually be a flaw, because from what I understand is that background dependence means that the theory relies on a background of...

Tensors, a reason of great schism in physics? Yes, this application of that aristotelian principle, you have described so well, where the third is excluded and as so uncertainty is the reason why there won`t be a quantum gravitation theory, and a reason why physical laws must not be expressed...

I read from a website that the electric field is independent of the separation between the plates if the separation is negligibly small. But how to derive this?

Hello. I want to ask questions... I hope you can guide me in showing the proof. 1. Let a, b and c be vectors in a vector space such that {a, b} is linearly independent. Show that if c does not belong to span {a, b} , then {a, b, c} is linearly independent. I know that is {a,b}...

A PF poster recently asked about the Background Independence feature that distiguishes classical 1915 General Relativity from Stringy theories. She suggested that the explanation be at the "basic Xray tech" level. That probably means starting with a short exerpt from Smolin article in...