Naked Science Forum

Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: jeffreyH on 15/10/2016 10:34:30

Title: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 15/10/2016 10:34:30

Personally I believe it is negative kinetic energy which is absent in SR. What do you think?

Title: Re: What is the main difference between Special and General Relativity?
Post by: Colin2B on 16/10/2016 12:53:08

What about the treatment of acceleration?

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 16/10/2016 13:40:56

Since the direction of the force is towards the centre of mass then both acceleration and the induced kinetic energy are negative. They go hand in hand. At the moment I am examining both the shell theorem and the Yukawa potential and may have more thoughts.

Title: Re: What is the main difference between Special and General Relativity?
Post by: Colin2B on 16/10/2016 16:28:34

Quote from: jeffreyH on 16/10/2016 13:40:56

... At the moment I am examining both the shell theorem and the Yukawa potential and may have more thoughts.

Look forward with interest.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 16/10/2016 21:13:35

In the meantime, as a slight aside, this looks interesting.

https://en.m.wikipedia.org/wiki/Fifth_force#possible_evidence (https://en.m.wikipedia.org/wiki/Fifth_force#Possible_evidence)

The link doesn't appear to move to the possible evidence section so you may have to scroll down. The whole article is worth a read.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 22/10/2016 03:37:57

If instead of treating Planck's constant h as a constant we define u = E₀t where E₀ is the emission energy. We can determine an energy equation of the form E = uf₀ where f ₀ is the emission frequency. The equivalent mass term is then m = E/c^2.

The Yukawa potential is V(r) = -g^2[e^-kmr/r]. For the electromagnetic field g = 1 and since m = 0 we have a potential of 1/r. If we use our new mass term then the energy based on action varies with radial distance. This describes what sounds like the gravitational field. Except that the value of the constant k has not been determined.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 22/10/2016 04:20:09

Please note. I have severe doubts about the validity of the formulas in the previous post. I need to think through the implications.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 22/10/2016 04:53:36

The Yukawa potential has to do with exchange particles so the above formula no longer expresses this. It may be that this represents the potential for action at points in the field.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 22/10/2016 05:02:57

On a related note.

https://en.m.wikipedia.org/wiki/Einstein%E2%80%93Hilbert_action (https://en.m.wikipedia.org/wiki/Einstein%E2%80%93Hilbert_action)

Feel free to kick me into new theories at any time.

Title: Re: What is the main difference between Special and General Relativity?
Post by: jeffreyH on 31/10/2016 00:32:12

Consider a situation where we have two positions within a gravitational field labeled A and B. Define them to be at different gravitational potentials. Then if a photon with frequency f₀ is emitted at A and travels to B its frequency there is f₁. If a photon is emitted at position B with frequency f₁ then to balance the books the final frequency upon arrival at position A should be f₀. So that emission energy is a variable and potential is a function of the emission energy and the position in the field. Mapping action potentials to the field then makes sense.

Title: Re: What is the main difference between Special and General Relativity?
Post by: guest4091 on 31/10/2016 17:59:39

I thought it was formulation in a gravitational environment.