# Oscillating universe and harmonic oscillator

1. Jun 11, 2004

### kurious

If the universe oscillates between a Big Bang and a Big crunch,
can two particles at opposite ends of it, be considered to be
undergoing simple harmonic oscillation?
If the potential energy of the oscillator is given by G m1 m2 /r and
m1 is the mass of the universe,10^52 kg,r = 10^26 metres - the current
size of the universe -then since the PE of a simple harmonic
oscillator is given by
PE = 1/2 k x^2, the force constant k becomes 10 ^ -37 m2.
using frequency of oscillator = ( k / m2 ) ^1/2,
frequency = ( 10^ -37m2 / m2 )^ 1/2 = 10^ - 18.5 per second.
In other words the universe oscillates every 10 ^ 18.5 seconds - about
its current age!!
Since the two particles of a simple harmonic oscillator accelerate
when potential energy gets converted into kinetic energy, the current
acceleration of the expansion of the universe is removing potential
energy from the universe.So dark energy removes potential energy from
the universe.
It is probably doing this by taking energy from gravitons.

2. Jun 11, 2004

### pallidin

Perhaps the first consideration is whether or not the universe goes through a "big bang" - "big crunch" cycle.
It is assumed that this might occur in our present condition, but, has this occured before? That is, are we experiencing a cyclic event in "mid-term", or are we in the first cycle of this continuing scenario.
Is evidence either way even possible, given the totality of expression?

3. Jun 11, 2004

### force5

Kurious, in a word, yes.

I think dark energy is depriving gravity of carring out its function. In other words, the energy either becomes involved in gravity or dark energy. When radiation becomes dark energy, it reduces the potential available for gravitation.

Just my thoughts.