Saturday, July 22, 2006

In search of unifying time and energy - Part II

Well, Hello all.

Here's the promised next part in the series. It addresses the basic portion of what exactly ZPE is. I am posting it in isolation, and will connect it up with the first post in due time. This isn't actually an article, but an IM conversation over Yahoo Messenger with a friend.

PLEASE MAKE A NOTE OF THE FACT THAT MY UNDERSTANDING OF CONCEPTS MIGHT BE FLAWED AND WRONG. I HEREBY DO NOT TAKE ANY RESPONSIBILITY IF YOUR PHYSICS PROFESSOR SCREWS YOU FOR HANDING IN A WRONG PAPER!

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Juhi: zero point energy.........i wanna know more abt it
Abhi: simply put, it's the point where the velocity of a photon becomes zero
Abhi: that is, it is suspended in time
Abhi: but it shouldn't exist if it's velocity becomes zero
Abhi: because, after all, a photon is a virtual force carrying particle
Abhi: but it still exists
Abhi: and it is this force which the photon still carries at v=0, that caused the dielectric plates to crash into each other
Abhi: but it is still a confusing concept because it involves some other principles
Abhi: actually, the zero here isn't the velocity
Abhi: i.e. in the term zero point energy
Abhi: it is the absolute kelvin temperature
Abhi: that's the lowest possible temperature where matter ceases to exist
Juhi: its a bit confusing rite now
Juhi: i'll hav to read the full thing
Abhi: hehe
Abhi: let me put it in a very simple way
Abhi: what happens when you, say pull ALL the energy out from a mechanical spring?
Juhi: soch rahi thi
Abhi: shouldn't it stop oscillating?
Juhi: but how can u pull out all the energy?
Abhi: by stopping it's motion?
Abhi: the energy of a spring is given by 1/2 kx right?
Juhi: ya
Abhi: well, let's apply this analogy to quantum fields
Abhi: a quantum field is a field where every point in space is quantised according to maxwell's laws
Abhi: well, the constant in quantum mechanics, i.e. the quantisation coeffcient is always 'h' right?
Abhi: i.e. planck's constant
Abhi: if we envision a quantum field where the particles behave as wave, then the distance 'x' moved in time 't' in a classical spring should actually, analogically, be the same as the frequency of the EM wave of the particle oscillating at a fixed, quantised point in space right?
Abhi: so what would the energy of such a point in space be? it'd be simply 1/2 h f
Abhi: where f = frequency
Abhi: now comes the interesting part. Heisenberg's uncertainity principle not only holds true for the velocity and position of a particle
Abhi: but also for energy and time relationship of a particle/wave oscillating in space
Abhi: so where does that bring us....we can either measure time, or we can either measure energy to 100% perfection
Abhi: that means there would be an uncertainity in the measurement of either right?
Abhi: that uncertainity is actually this 1/2 hf energy
Juhi: oh now i get it
Abhi: and this, has been attributed to intrinsic quantum behaviour, rather than any measuremental errors!
Juhi: wow!!
Abhi: where we fail to understand the exact nature of ZPE is a totally different matter
Abhi: because, if we calculate the total such energy present in the universe, it'd be simply ENORMOUS
Abhi: one more interesting element is that of the relation of the ZPE to it's frequency
Abhi: when we consider the totality of the universe.....hmm, how do i put it?
Abhi: you know how an EM wave propagates?
Abhi: there are modes in an EM field
Abhi: EM waves are light like radiation that propagate at the speed of light
Abhi: they don't contain matter, but propagate as a function of their frequency, polarisation and wavelength
Abhi: so every mode, MUST have an intricsic energy of atleast 1/2 h f
Abhi: (which in essence is the ZPE)
Abhi: therefore, if we consider constantly propagating waves, their energy depends on their f
Abhi: therefore by analogy of 1/2mv^2, they increase per unit frequency as the square of their frequency
Abhi: get it? or is it confusing?
Abhi: so it'd actually be that the energy depends as the CUBE of the frequency, and this is the ONLY energy in the entire fabric of space time which depends as the cube of frequency...or the intrinsic energy factor
Juhi: this is something interesting
Abhi: it is, VERY interesting
Abhi: it simply destroys our concept of space and time
Juhi: i dont know that energy has a direct relation wid frequency....
Abhi: E = hf
Juhi: physics and maths......not my cup of tea
Abhi: abhi 2 hafte pehle to chem sir ne padhaya tha..hehe
Abhi: planck's relation
Juhi: that i know.......but cube of frequency??
Abhi: well, this is only in the case of ZPE
Abhi: that's why it is totally lorentz invariant, because the cube factor takes care of the the doppler shift...or I should say, the lorentz indiscrepency
Abhi: lorentz variance is the basis of theory of relativity
Abhi: but this ZPE doesn't follow it at all!
Abhi: that's why i had stated at the beginning itself that Relativity is flawed in certain cases
Abhi: okay, won't bore you and bother you anymore
Abhi: just think about this for two days..
Juhi: ya sure.........u've seriously got me thinking
Abhi: well, physics does that
Abhi: do you know, there are breaks in spacetime fabric too?
Abhi: that there's simply nothing there
Abhi: absolutely nothing
Abhi: time is inexistent!
Abhi: and that's something
Abhi: a particle which passes thru such a void simply disappears
Abhi: and reappears
Abhi: it's mass disappears
Abhi: energy disappears
Abhi: violating the laws of conservation of mass and energy
Abhi: and it's this interesting aspect of our universe that's a serious thorn in the backside when it comes to explaining why ZPE isn't behaving according to both the General and Special Theories of relativity
Juhi: hav u spoken to a physics person abt this?
Abhi: not really
Abhi: these are all experimental and documented facts
Abhi: no need to talk to a physicist
Abhi: but my friend and i have our own stupid theories to explain this stuff
Juhi: i mean u should try......
Abhi: which are actually flawed, now i know
Juhi: it might lead u somewhere
Abhi: because we speculated taking relativity as basis
Abhi: and relativity in itself is flawed
Abhi: actually, the paradox of our universe, is its totally irrational
Abhi: relativity and quantum mechanics are contradictory theories, yet they both satisfy a lot of questions...
Abhi: and one satisfies one set of problems, the other, the other set
Abhi: yet both don't satisfy all the questions
Juhi: thats wat makes physics all the more interesting........doesent it??
Abhi: yeah
Abhi: and fricken confoosing too

Abhi: hey, if you don't mind, shall i post this convo as the next part of the series on the time-energy paradox?
Abhi: Not really in the mood to type another article after typing the stuff here once...hehehe
Abhi: i'll edit out stuff and retain the important parts only
Juhi: as u wish i hav no probs........
Abhi: merci, madame!

2 Comments:

Blogger tarasimi said...

WOW! Some very interesting stuff. Dekho..waise to mujhe jaada samajh nahi aata hai (:P), but this is interesting.

Sab padha, but the thing that caught me was the breaks in the space-time fabric - the "black holes." I've done a little reading on this... there's been a strong relation between these vortexes and time-travel. Which begs the question...what about merely "space-travel?" Kind of like apparating from one place to another (total Harry Potter freak here :D).

July 24, 2006 6:35 am  
Blogger Microcosm Desk said...

Hey Simi, thanks. Well, what you're talking about is actually a 'worm hole'. Let's not worry about worm holes as of now. They're something quite confoozing though interesting

July 24, 2006 7:32 am  

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