If the universe oscillates between a Big Bang and a Big crunch,(adsbygoogle = window.adsbygoogle || []).push({});

can two small volumes of dark energy, at opposite ends of it, be considered to be undergoing simple harmonic oscillation?

The potential energy of an oscillator could be given by G m1 m2 /r where

m1 is the mass of a volume of dark energy, the mass of the universe is10^52 kg,r = 10^26 metres - the current

size of the universe . 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 assuming r is also about equal to the maximum extension of the oscillator.

using frequency of oscillator = ( k / m2 ) ^1/2,

frequency = ( 10^ -37m2 / m2 )^ 1/2 = 10^ - 18.5 per second.

In other words the universe could oscillate every 10 ^ 18.5 seconds - about

its current age!!

Quantizing this oscillator gives its potential energy changing in units of

10^-52 Joules.Could this be the energy of gravitons turning into dark energy as the universe expands and the potential energy of the oscillator increases?

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# Harmonic oscillator

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