That's why I was taking Hansda through his/her equations to see if Hansda could see his own mistake.hansda's Newtonian gavitational expressions have nothing to do with frame dragging. Frame dragging is a result of Einstein's general theory of relativity.
Any Newtonian gravitational expression that is claimed to relate to frame dragging is wrong.
That's why I was taking Hansda through his/her equations to see if Hansda could see his own mistake.
I think this is going a bit far though "Frame dragging is a result of Einstein's general theory of relativity". If Frame Dragging is for real as it seems it preceded Einstein. I am tending to think it is synonymous with Relativity but I don't really know enough about it yet.
Could this be true: "Frame Dragging is Relativity"? I have a feeling this is what Hansda wants to show.
Gravity not only impacts space-time but also it will also create phase changes within materials. For example, the pressures caused by gravity allows fusion.
Changes in space-time alone will not do this, or else SR would cause fusion.
One way to model this is to extend GR to include this extra phase adjustment. What you would need to add to the space-time affect is another space(distance) affect. Or gravity is more like space2-time, with the additional space multiplier connected to the actual distance changes that can result in liquids from gases, for example.
For example, the reason the earth has an iron core is due to gravity but is not included in GR. There is a mass/density affect due to gravity, which casues an ordering in mass based on how gravity impacts mass; density.
Gravity also results in the loss of entropy compared to if gravity is not acting. Going from gas to liquids results in a net loss of entropy. Segragating iron so it ends in the core of a planet lower entropy relative to a uniform material distribution.
Since the entropy of the universe needs to increase in light of gravity lowering entropy, we need a source elsewhere, such as an expansion.
Entropy can create the illusion of an anti-gravity affect.
It is too bad people memorize tradtions and never learn them well enough to see the pitfals and short comings.
If you started with an earth composition that was uniform and then applied gravity materials will separate based on density. Random to order means lower entropy. I am not saying there is zero entropy but net is lowering.
Since the universe has entropy increasing this has to be balanced elsewhere.
Gravity creates pressure which physically lowers the distances between objects regardless of space-time reference. This is why gravity can induce phase changes, such as a solid hydrogen core in jupiter. Explain how GR explains this induced pressure dependent phase change?
For your odd earth example ponder this. Lets assume there is a molecular cloud. There is a certain amount of gravity in the cloud due to the mass of the cloud. There is a certain amount of kenetic energy due to the motion of the particles. Now for whatever reason (supernova etc) the cloud collapses. The particles in the collapsing cloud hit each other and lose KE increasing the entropy of the universe increases. The denser matterials fall towards the center of the forming planet increasing friction and increasing the entropy of the universe. The higher order of the planet comes at a cost and that cost is an increase in the entropy of the universe.
This is what I said. If we isolate the gas cloud its entropy decreases as order forms. This results in an increase in entropy elsewhere. Gravity, by causing a local loss of entropy, results in an net entropy increase in the universe.
This is dark energy, since the expansion reflects an entropy increase.
How does GR do this energy/entropy balance? If does not you need to add mystery matter and energy to compensate.
Picture all the gravity in galaxies causing a local change in entropy. The work and energy given off increase the entropty of the universe. The affect should be more degree of freeom in space (expansion).
Gravity was around long before Newton defined it. So too with frame dragging. It is a physical reality, so precedes any formula accounting for it.Frame-dragging comes directly from GR and Einstein's field equations. It was first published in 1918 (the Lense-Thirring effect), I believe I have run across some reference that Einstein was involved in some of the prepublication correspondence - letters, contributing to the final publication.
I am unaware of any suggestion of any similar effect that predates GR.
In very general terms, an entropy increase will absorb energy. This is why entropy is often assocaiated with irretrevable energy. If energy is given off then entropy is lowering, since an increase in entropy does not give off energy.
When gases turn into liquid the heat of fusion that is given off tells us that entropy is decreasing. This energy can be absrobed elsewhere to increase entropy. But the gas to liquid has decreased entropy.
GR does not do a good energy balance and therefore misses the energy given off by stars and other matter formations that is attributed to gravity induced loss of entropy. This energy will increase the entropy elsewhere, such as the expansion of the universe since expansion is endothermic.
Gravity was around long before Newton defined it. So too with frame dragging. It is a physical reality, so precedes any formula accounting for it.
That is the point I was trying to make that you can't say "Frame dragging is a result of Einstein's general theory of relativity".
What we have is an open container. In the center, is a crystalization which lowers entropy, by forming order such as a perfect diamond. We can tell this loses entropy since energy is given off. Outside this central diamond is a vacuum for light years.
Because the diamond lowers entropy, energy is given off. This energy needs to be absorbed to increase entropy elsewhere,
but since we have a vaccuum there is nothing material in nature, which is available to absorb the energy and increase entropy. There will be a net loss of entropy. The energy will be conserved, but it can't go into entropy due to the vaccuum. How do you increase the entropy of empty space?
This is the entropy paradox within space.
There is not enough material in empty space, which can gain entropy at the rate at which energy is given off by the various entropy lowering affects induced by gravity.
Rarified gases in space will get saturated in terms of entropy, since there are only so many degrees of freedom, yet so much continuous output energy. Most of the energy reaches us, untouched, even from billions of years ago. It is not being fully converted into entropy.
If we assume the entropy of the universe has to increase over time, yet we lack the material in space needed to express this entropy, in relationship to all the gravity induced output energy, we need another universal source for the entropy.
The red shift shows some of the universal energy output is being absorbed (lower energy photons), which we know is due to the expansion. This is where the entropy increase for the universe is occurring. Space-time expansion = the needed entropy increase.
Again entropy needs energy to increase. If entropy lowers, energy will be given off. If we have a vaccum how do you increase entropy with all the energy given off by entropy loss via gravity?
You can't directly, so the energy is conserved as energy not entropy. If the universe red shifts the energy, energy is being absorbed by the entropy of space-time expansion. This energy/entropy balance is needed for the second law.
As I was writing my previous post I was wondering about the existence of all things, and really only imaginary things can be attributed to their owners. All other things exist before they are discovered.In a literal sense you are correct. Frame-dragging did exist long befor Einstein was even born. But it was never, that I am aware of, even suggested before he published GR and it cannot be derived from Newtononian Mechanics. If it could have been, Newton would likely have been able to explain the advacement of the perihelion of Mercury.
Everything we know today, existed before we knew it. Or in the case of "made" things, at least the potential existed before the knowledge required to "make" them.
Now you are saying Newton could have used it to account for the 43 arc seconds unaccounted for if he knew about frame dragging, so are you also saying relativity and frame dragging are equivalent in this case?