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The gravitational force acting on a particle of mass m, on the

surface of a sphere of radius 10^26 metres and with a mass of 10^52

kg is given by

G x10^52 m / (10^26) ^ 2

The acceleration is given by G x10^52 / (10^26) ^ 2 = 10^ - 11 m/ s^2

This calculation is valid because r > 10^25 metres so General Relativity won't give a significantly different value ( I checked with Ted Bunn moderator on sci.physics.research).

I have not done this with a calculator so the acceleration could be one order of magnitude bigger or smaller.

Now, Dark energy is at least 14 times more abundant than baryonic matter.

So if we did a similar Newtonian calculation for dark energy (assuming this is valid and dark energy is more normal than we think it is) we would expect

the magnitude of acceleration to be ten times larger

i.e 10^-11 x 10 = 10^-10 m/s^2 , the MOND threshold value.

The important questions here are:

why are the attractive and repulsive accelerations so similar?

why are they close to the MOND threshold value?

I have also noticed the following (could be coincidence -:

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!!

m2 must be a mass of a certain size - I have never calculated it.

Presumably the gravitational effects of dark energy and baryonic matter

would play a big role in generating the force constant of such an oscillator.

surface of a sphere of radius 10^26 metres and with a mass of 10^52

kg is given by

G x10^52 m / (10^26) ^ 2

The acceleration is given by G x10^52 / (10^26) ^ 2 = 10^ - 11 m/ s^2

This calculation is valid because r > 10^25 metres so General Relativity won't give a significantly different value ( I checked with Ted Bunn moderator on sci.physics.research).

I have not done this with a calculator so the acceleration could be one order of magnitude bigger or smaller.

Now, Dark energy is at least 14 times more abundant than baryonic matter.

So if we did a similar Newtonian calculation for dark energy (assuming this is valid and dark energy is more normal than we think it is) we would expect

the magnitude of acceleration to be ten times larger

i.e 10^-11 x 10 = 10^-10 m/s^2 , the MOND threshold value.

The important questions here are:

why are the attractive and repulsive accelerations so similar?

why are they close to the MOND threshold value?

I have also noticed the following (could be coincidence -:

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!!

m2 must be a mass of a certain size - I have never calculated it.

Presumably the gravitational effects of dark energy and baryonic matter

would play a big role in generating the force constant of such an oscillator.

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