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

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.

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# Oscillating universe and harmonic oscillator

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