- #1
kurious
- 641
- 0
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.
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.