Recent content by 01030312

It starts this way- consider all particles at an initial moment 0. Suppose their coordinates are collectively specified by a set of numbers. Choose one of the numbers, which denotes one of the particles. Algorithmic information theory says that almost all numbers are random, that is, they can't...

Let me give you a brief remark. Its not the information and its form, that is important, rather, how information changes when it passes through some gate. Assume a box, in which initial states of all particles are known. Let the passage to the next moment be through some 'gate'. Then, as is...

dextercioby- Thanks a lot. But two final questions. As Fredrik said, SO(3) is SU(2)/Z2. Is it because SO(3) demands rotation by 360 degrees to be an identity operation and SU(2) allows "fermionic property"? Can higher dimensional representations of SU(2) be used to represent rotation?

Do we need a metric field on a manifold so as to specify a coordinate system on it?

syberraith- That relation is true when i and j are not equal. But we can prove it once we know how pauli matrices look like. Otherwise, in a different representation, the look different. Actually pauli matrices are defined by that relation, which helps us to get its form. Fredrik- I guess I...

Lets assume information is everything we know about the system. Then, getting down to absolute zero will decrease the entropy and information will increase. If you are curiour about the link between information and thermodynamics, check out Landauer's principle- "information is physical".

Spin and classical angular momentum are parts of a grand scheme known as "representation of rotation group". Its just classical angular momentum we see usually since classical angular momentum is that part of "representation of rotation group" that acts on vectors.

Kindly ignore if some +- signs are placed wrongly in the equations. Thank you. Rotation in three dimensions can be represented using pauli matrices \sigma^{i}, by writing coordinates as X= x_{i}\sigma^{i}, and applying the transform X'= AXA^{-1}. Here A= I + n_{i}\sigma^{i}d\theta/2. The pauli...

I think its consistent becos- \nabla_{i}g_{jk}= \partial_{i}g_{jk} + \Gamma_{ijx}g^{x}_{k} + \Gamma_{ikx}g^{x}_{j} + \gamma_{ijx}g^{x}_{k} + \gamma_{ikx}g^{x}_{j} Contract with metric, and last two terms vanish out of antisymmety. SO its the same condition on metric as in non torsional...

fzero... It seems really interesting. Could you give more details. Particularly gravity to antisymmetric 2-form coupling by Einstein and all.

Torsion implies a new kind of geometry different from riemann's. And it causes vectors to rotate in specific circumstances which does not happen in corresponding non-torsional geometry(riemannian) in same circumstance. Take connection coefficient to be \Gamma_{ijk}= a_{ijk}+b_{ijk} . I have...

d Alembertian should be \frac{\partial 2}{\partial t2} + \nabla 2 (superscript notation is not appearing in this code) There is not much to say if the vector potential has continuous or discrete(in your terms harmonic) expansion, both work here well. Finally I am taking its fourieur transform...

'andrewr' Thank you, Very helpful comments of yours. I looked back at Einstein's paper and my understanding of stress-energy tensor, and here is what I would like to say- Einstein related proportionality of energy and frequency by considering that both are time components of four...

Considering Planck's assumption of quantized energy, was this idea proved later in quantum electrodynamics or any other theory of electromagnetic radiation? I have seen at places that Max Planck had an intuition about this idea, along with extensive research on the problem. Is intuition thing...

I really need to know if its correct. Its simple maths though looks long. Could someone help? Experts' comments?