Quartile

As the topic says I was wondering if there are any microscopic applications of logarithmic spirals in theoretical physics, or any attempts to incorporate them, or any data to support them? I was thinking that since quantum phenomena only has real significance at the quantum scale and yet is still applicable at the macro scale it might be possible that the prevalence of logarithmic spirals in nature might not be so coincidental that they would be confined to only living, macro scale objects/phenomena? To clarify: we obviously don't understand the reason for the existence of logarithmic spirals in nature, but could there be physical significance inherent to some underlying process that could be extrapolated to all matter? Also, as an aside, I think discussion of the golden spiral has been left with a whimsical connotation on accident. A lot of time it seems like people consider those who talk about it "more of those damn newbies ranting about fractals."

I understand the concept of rotational invariance but what does it mean for rotational invariance to be asymptotic in its behavior? This question comes specifically from this page: http://en.wikipedia.org/wiki/Angular_momentum#Angular_momentum_in_relativistic_mechanics

noether's theorem is very important.

I found this on the wiki bio for Karl Schwarzchild:

Could the Schwarzschild metric describe black bodies instead of black holes? Perfect black bodies seem to have characteristics similar to black holes. Also Kruskal-Szekeres coordinates are interesting but I don't feel like I understand them very well. From wiki: What exactly is a coordinate singularity?

So is mass stored, potential energy? Other than antiparticle collision, are there any natural examples of conversion from mass to kinetic energy?

Nothing only exists when it remains undefined

Swansont: At the end of the post you linked to you mention the quadrupole moment. What relation does this have to the material you posted? I understand it was a joke but does it have any significance to the material?

Right sorry I neglected to put the kg in there. I'm uncertain why the mathematical definition of energy involves these units and their corresponding physical meaning, especially with relationship to special relativity.

Can anyone explain why c is squared in energy mass equivalence? Other than "it works"? edit: In other terms maybe, why is energy in units of m^2/s^2

I think Luminal is referring specifically to spatial dimensions.

Like you say, the probability amplitude describes the possible states that a wave function might collapse to if it were measured. In the case of an electron the probability amplitude describe the space that the electron "probably" occupies at some time, before measurement. So it does describe space, doesn't it?

Right thats what I meant lol thanks Yes. Two photons measured in different positions. The notion of a discrete topology actually answered most of my question. One last thing: Considering that orthogonality is a necessary quality of the space on which quantum-scale matter is analyzed, is it too far a stretch to say that it is a necessary quality of any relevant geometry/space?

But there is a connection between physics and reality, I hope? Aren't the qualities of Hilbert space chosen so that physicists are able to mathematically model some aspect of quantum reality?

Is there anywhere this process happens naturally? Stars come to mind, but do stars sustain a high enough energy level for this to occur? It seems like its a positive feedback phenomena that yields matter, I think?

should have posted it to begin with thanks http://en.wikipedia.org/wiki/Two-photon_physics

Is the real projective plane in any physical models? What is the difference between projective space and hilbert space; why is hilbert space preferred for physics? The first question came out a little unclear, to rephrase: do physicists use the real projective plane to describe phenomena? Why/why not?

Wikipedia says that the collision of two photons can create mass. This sounds to me like a chemical reaction of sorts..

Nice!

Nice!

oops

So if a system were to be annihilated by its anti-system, a theoretical particle, ZPE would be left over? Heat? I think you might want to look at some sort of relationship between impedance vs resonance/resonators and Euler's formula and the function of the complex variable in it as well as the physical features of waves through which Fourier analysis is conducted. Something like that. It is incredibly difficult to formulate your ideas into an equation without having an absolutely tremendous knowledge of modern physics. And even then the best person to make your ideas into equations is you.

Interesting but very difficult to read. I think I understand you up to here: Please go into more detail about the structure of the equation and what its variables mean? and the whole idea?

Does including two separate objects on the same Hilbert space force them to become one system?

Rewording my poorly worded question, is there an operator that will allow the unoccupied area between two objects to be analyzed in a Hilbert space?