Tuesday, March 11, 2008

Crazy Physics Idea - 5

Introduction
The space is expanding (in the sense that new space is getting created) according to Big Bang theory. That is why we see big galaxies move away from each other.
The universe is like a huge balloon being blown by the ancient remnant breath of creation.

Now let’s look close at this expanding universe.

What is happening in the space between a nucleus and electron?
Fresh space is getting created there.
Since we haven’t noticed atoms getting bigger, we can assume that the electrons are pulled into their previous stable relative positions with respect to nucleus by the Electromagnetic force...

But EM field can effect only by a maximum speed of the magical c…The speed of light.

So if the space between nucleus and electron has expanded by a small length dx, and if the distance between nucleus and electron is x, then only after a time of approx (x/c) seconds will the nucleus be able to pull the electron back to the stable orbit.

So energy proportional to the energy difference of orbits with radius x and x+dx must be given out by the atom.
The dx is dependent on the rate of expansion of the universe.

Also the rate of expansion of universe is very small...only when the distances involved are huge, we are able to notice the galaxies running away from each other...No one has heard planets running away from each other in solar system.

So the dx must be extremely small and the energy emitted by the electron when coming back to the original orbit must very low frequency.

Just as an after thought: This low frequency must be limited by the size of the universe. Since the largest stable wave possible in our universe has a wavelength dependent on the length of the universe, just like the waves possible on a taunt string.

So…

If we listen closely...we can hear the heart beats of an atom.
A heart beat determined by the relativity governed expansion of space-time and the quantum mechanical Electro magnetic field...

Maybe if we listen to this primordial song sung by the atoms, we may find the keys to unlock the last frontier…The unification of General relativity and Quantum Mechanics.

Results

Calculations

In this sample calculation, I am taking an atom having a single electron and proton.

Rate of expansion of universe --- r
(Let’s consider one direction .... the line connecting electron and nucleus)
Speed of Light --- c
Planks Constant --- h
Distance between electron and proton --- x
Incremental Increase in distance between electron and proton due to expansion of universe --- dx

Approximately, the time take by the Electromagnetic field to pull back electron will be

Now dx = (x/c)*r (* represents multiplication)

Therefore:
Substituting for dx in (x+2dx)/c,
Time take to pull back the electron will be approximately (x (1+2r/c))/c

So the electron falls by 2dx length.

Since potential energy is proportional to (1/x).

So change in Potential energy or electron will proportional to (1/x+2dx)-(1/x).

That will be approx (2dx/x(x+2dx)).

Substituting for dx as (x/c)*r,

The atom will emit a EM radiation of energy proportional to 2r/(x*(c+2r)) .This has to be multiplied with (q*q/4*pi*E0 approximately 10pow-28)

But for a photon, E = h*f

So the frequency will be proportional to (2r/(c+r)*h)*(1/x). This has to be multiplied with (q*q/4*pi*E0 approximately 10pow-28)

Approximately, the above formula is frequency = (2r/chx)*(10pow-28) *

Now take x as an angstrom = 10Power-10 and
c = 10pow8 and
Plank constant h = 10pow-35
There fore the ratio will come as 2r*10pow9.

The galaxies (3 million light-years) distant appear to recede from us at a speed of 80 kilometers per second. From this we can have

Distance to the galaxy = 3*power (10, 6)*3*power (10, 8)*24*60*3600
= 4.6656E+21

Rate of expansion of universe = (80 Kilometers/second) / (4.6656E+21)
= 1.71468E-17

So rate of expansion of universe is approximately = 10 Power -17

So the frequency = 2r*10pow9 = 2*(10 Power -17) *(10Power 9)
= 2*10 power -8

So wavelength of this radiation = (c/frequency) = of the order 10 power 16.

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