Gravity

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Have you got the book?
Chapter 3.
No, I haven’t got the book. Since you posted the claim and you obviously agree with it and therefore fully understand the mathematical basis for the claim that the two 6x6x6 neutral cubes of unit charges always attract, I was hoping that you would provide that information for us.
 
No, I haven’t got the book. Since you posted the claim and you obviously agree with it and therefore fully understand the mathematical basis for the claim that the two 6x6x6 neutral cubes of unit charges always attract, I was hoping that you would provide that information for us.
Why would I repeat what’s written in the book?
Please read it, if you have any questions then we can discuss.
 
Why would I repeat what’s written in the book?
Please read it, if you have any questions then we can discuss.
Why do you think that it is the correct explanation for the source of gravity when there are many cogent reasons, including some already alluded to in this thread, that gravity cannot be an electromagnetic phenomenon? What has persuaded you that the explanation is correct for the two neutral cubes always attracting when there are equal numbers of positive and negative unit charges equally disposed in them?
 
Why do you think that it is the correct explanation for the source of gravity when there are many cogent reasons, including some already alluded to in this thread, that gravity cannot be an electromagnetic phenomenon? What has persuaded you that the explanation is correct for the two neutral cubes always attracting when there are equal numbers of positive and negative unit charges equally disposed in them?
Read the book!
There is even an experiment description that was done by professor Hughes.
Kopernicky did his own different ones.

Do you know something about screened potential?
 
I should be grateful if you would show the mathematical treatment which shows that.
Two masses will always attract according to Newton’s law of gravity. It doesn’t matter if they are cubes or spheres. F= G*Mm/d^2… Physics 101. Going further, Einstein said that gravity was a geometrical consequence of a mass.
 
Read the book!
There is even an experiment description that was done by professor Hughes.
Kopernicky did his own different ones.
I’m sorry I seem to have misunderstood. Since you seem to be wedded to this frankly bizarre idea, I assumed you were here to explain and discuss it but it seems you only want to promote a book. There are probably 15-20 theories of gravity developed to various degrees of sophistication by physicists, of which one, the General Theory of Relativity mostly closely matches observations currently. There are probably ten times as many crackpot hypotheses and ideas, developed mostly by non-physicists and most promoted via vanity published books and personal websites, which are obviously and fundamentally flawed. You have given us no reason to spend any time considering this one particular idea amongst so many. By refusing to answer basic questions about the idea and by ignoring obvious flaws in the concept, you are not doing a good job of persuading anyone to take it seriously. Which is no skin off anyone’s nose.
Do you know something about screened potential?
yes, something, but what is the relevance?
 
Two masses will always attract according to Newton’s law of gravity. It doesn’t matter if they are cubes or spheres. F= G*Mm/d^2… Physics 101. Going further, Einstein said that gravity was a geometrical consequence of a mass.
Just so. But I’m not sure you have followed the reason for my request for the claimed mathematical derivation of the electrostaticattraction of neutral bodies as put forward by Jaanosik.
 
I’m sorry I seem to have misunderstood. Since you seem to be wedded to this frankly bizarre idea, I assumed you were here to explain and discuss it but it seems you only want to promote a book. There are probably 15-20 theories of gravity developed to various degrees of sophistication by physicists, of which one, the General Theory of Relativity mostly closely matches observations currently. There are probably ten times as many crackpot hypotheses and ideas, developed mostly by non-physicists and most promoted via vanity published books and personal websites, which are obviously and fundamentally flawed. You have given us no reason to spend any time considering this one particular idea amongst so many. By refusing to answer basic questions about the idea and by ignoring obvious flaws in the concept, you are not doing a good job of persuading anyone to take it seriously. Which is no skin off anyone’s nose.

yes, something, but what is the relevance?
Yes, I understand it very well. I can explain it.
It can not happen if you do not start to read.
 
Yes, I understand it very well. I can explain it.
Well, you haven’t shown any evidence of that so far.
It can not happen if you do not start to read.
Enjoy your faith in an idea which is patently wrong. Enjoy your complete failure to interest anyone in it. Have a good 2015.
 
I’m sorry I seem to have misunderstood. Since you seem to be wedded to this frankly bizarre idea, I assumed you were here to explain and discuss it but it seems you only want to promote a book. There are probably 15-20 theories of gravity developed to various degrees of sophistication by physicists, of which one, the General Theory of Relativity mostly closely matches observations currently. There are probably ten times as many crackpot hypotheses and ideas, developed mostly by non-physicists and most promoted via vanity published books and personal websites, which are obviously and fundamentally flawed. You have given us no reason to spend any time considering this one particular idea amongst so many. By refusing to answer basic questions about the idea and by ignoring obvious flaws in the concept, you are not doing a good job of persuading anyone to take it seriously. Which is no skin off anyone’s nose.

yes, something, but what is the relevance?
What are these other theories of gravity, and how do they compared to the standard of classical Newtonian theory in terms of their predictive power (as a theory that is regarded as inferior to Newton’s theory does not deserve serious consideration). I am aware of modified Newtonian dynamics and the hypothesis that antimatter is repulsive on ordinary matter (but this is hard to test due to the lack of antimatter in the universe, the difficult to create dark matter, and the weakness of gravity). I ask because I am interested in how alternative theories explain astronomical and cosmological phenomenon. Are these theories fundamentally different from the general theory of relativity, that they have fundamentally different theoretical entities such as denying the existence of Minkowski spacetime (and the associated phenomenon of gravitational lensing) and time dilation (or dark matter which isn’t a fundamental component of general relativity anyway, but that is more related to particle physics and cosmology) or proposing that extra dimensions to explain certain gravitational interactions.

To put my inquiry another way, do these alternative theories have some theoretical merit as a means of explaining phenomenon, organizing scientific knowledge, and as a platform for investigative research even though those theories are fundamentally different from general relativity (although the consensus is the general relativity is far superior)? Would these alternative theories be considered “successful” in some respects?

This somewhat derails the thread (although I do not think that highly of the OP’s question about “leaning” on an object to take it seriously), but I ask in good faith as a means to explore scientific instrumentalism and antirealism. Perhaps, scientific realism is driven by the hegemony of certain paradigms (as that word has more sociological connotation than theory) in scientific education and research as this gives the misimpression that a particular theory or model can describe most phenomenon in a a particular domain of inquiry. This would mislead one to believe that a particular hypothesis theory is unrivaled and has no viable alternative theories, and could reasonable adopt the ontological/metaphysical position that the theoretical entities of the dominant theory exist. The viable theories may propose fundamentally different theoretical entities than the dominant theory, and if the alternative theories are just as compelling and credible than the dominant theory, the instrumentalist/antirealist position would be much stronger since an unbiased, reasonable person cannot confidently hold that idea that the theoretical entities from one theory exist and the other doesn’t. Agnosticism makes it difficult for one to maintain a realist position.

I am not suggesting that scientific establishment (a term I intentionally used with pejorative connotations) has unfairly privileged general relativity over other theories.
 
What are these other theories of gravity, and how do they compared to the standard of classical Newtonian theory in terms of their predictive power (as a theory that is regarded as inferior to Newton’s theory does not deserve serious consideration).
There is a range of alternative theories. Metric theories include GR which is a tensor metric theory. Other theories include add scalar or vector fields - for example in Brans-Dicke theory, which is a scalar-tensor theory similar to GR, the value of the gravitational constant itself varies as a function of local matter as described by an additional equation defining the scalar field of the reciprocal of the graviational constant. So there are also vector-tensor and even scalar-vector-tensor theories such as Bekenstein’s TeVeS theory, which is a relativistic theory based on non-relativistic MOND. There are also static or non-metric theories. You are correct that, to be taken seriously, theories must reduce in the low-velocity weak-field limit to Newtonian gravity - although of course in MOND, and theories based on it, it is proposed that in very weak field conditions gravity is not strictly Newtonian. Anyway, my estimate above of 15-20 of these theories is probably an underestimate. Some have been excluded over time by empirical evidence, but several remain viable theories.
I am aware of modified Newtonian dynamics and the hypothesis that antimatter is repulsive on ordinary matter (but this is hard to test due to the lack of antimatter in the universe, the difficult to create dark matter, and the weakness of gravity).
Did you mean to write antimatter here where you wrote dark matter? Anyway, while MOND is a proposal that seeks to explain the flat rotation curves of galaxies, it is not a theory of gravity in itself, although it can form the basis for a theory.
I ask because I am interested in how alternative theories explain astronomical and cosmological phenomenon. Are these theories fundamentally different from the general theory of relativity, that they have fundamentally different theoretical entities such as denying the existence of Minkowski spacetime (and the associated phenomenon of gravitational lensing)
Minkowski spacetime as a concept has nothing to do with gravitational lensing. It is the spacetime of general relativity in the absence of gravitation - in otherwords special relativity (akin to Euclidean space with the addition of the time dimension). In Minkowski spacetime Lorentz transformations define change of frame.
and time dilation (or dark matter which isn’t a fundamental component of general relativity anyway, but that is more related to particle physics and cosmology) or proposing that extra dimensions to explain certain gravitational interactions.
Dark matter isn’t inherent to a theory of gravity but is needed to reconcile astronomical observations with GR. Some gravitational theories (such as TeVeS and other MOND based theories) seek to explain the observations without the need for dark matter.

Does this help?
…I ask in good faith as a means to explore scientific instrumentalism and antirealism. …Agnosticism makes it difficult for one to maintain a realist position.
I am not really familiar with the philosophical subtleties, but I would say that, in modern science, theories are accepted or rejected on the basis of how well they describe observation. GR is currently the most commonly accepted theory of gravity because it matches observation well. However, alternative theories might prove superior if they are at least as good as GR in its tested range and, in addition, make better predictions under certain conditions. So far that has not been the case, but that doesn’t mean that further theorising and attempts to devise means of distinguishing between GR and alternatives should or will stop.
 
Well, you haven’t shown any evidence of that so far.
Enjoy your faith in an idea which is patently wrong. Enjoy your complete failure to interest anyone in it. Have a good 2015.
Are still trolling and not reading?
How do you expect to learn something.
 
There is a range of alternative theories. Metric theories include GR which is a tensor metric theory. Other theories include add scalar or vector fields - for example in Brans-Dicke theory, which is a scalar-tensor theory similar to GR, the value of the gravitational constant itself varies as a function of local matter as described by an additional equation defining the scalar field of the reciprocal of the graviational constant. So there are also vector-tensor and even scalar-vector-tensor theories such as Bekenstein’s TeVeS theory, which is a relativistic theory based on non-relativistic MOND. There are also static or non-metric theories. You are correct that, to be taken seriously, theories must reduce in the low-velocity weak-field limit to Newtonian gravity - although of course in MOND, and theories based on it, it is proposed that in very weak field conditions gravity is not strictly Newtonian. Anyway, my estimate above of 15-20 of these theories is probably an underestimate. Some have been excluded over time by empirical evidence, but several remain viable theories.
There is the nonsymmetric gravitational theory of John W. Moffat. BTW, if dark matter cannot be seen, but only inferred from GR, would that not indicate a possible problem with GR?
 
There is the nonsymmetric gravitational theory of John W. Moffat.
Well, Moffat has developed four or five different theories of gravity himself. NGT is just the first of these. The most recent, Scalar-Tensor-Vector Gravity (known as MOG - MOdified Gravity), like TeVeS, is a tensor-vector-scalar theory, and attempts to explain the flat rotation curves of galaxies without calling on dark matter. As far as I know it’s viable and also predicts the accelerating expansion of the universe without dark energy.
BTW, if dark matter cannot be seen, but only inferred from GR, would that not indicate a possible problem with GR?
Well if the only reason to propose dark matter was to explain the observed galaxy rotations, and the dark matter particle could not be detected, then we might prefer an alternative to GR, like MOG for example. But it’s not as simple as that. The presence of dark matter is inferred for more than one reason (eg, gravitational lensing of galaxies, the observation of the Bullet Cluster, the need for a critical density of mass-energy to make the universe geometry flat, and so on). Next, it is far from being the case that every potential dark matter particle has been ruled out - there are still many potential particles to attempt to detect. Then, MOG is considerably more complex and less elegant than GR, adding a massive vector field and three scalar fields to the usual relativistic tensor field. It feels a little like adding epicycles - add enough free parameters and you can model anything. But you’re right that ultimately, if dark matter can’t be detected directly, we need to seriously question whether GR is a good model for gravity at galactic scales.
 
There is the nonsymmetric gravitational theory of John W. Moffat. BTW, if dark matter cannot be seen, but only inferred from GR, would that not indicate a possible problem with GR?
‘Dark matter was invented’ because there is no explanation for faster rotation of spiral galaxy stars.
If there was another explanation then the dark matter would not be required.

The other explanation is on the way, it appears the dark matter will vanish.
 
Well, Moffat has developed four or five different theories of gravity himself. NGT is just the first of these. The most recent, Scalar-Tensor-Vector Gravity (known as MOG - MOdified Gravity), like TeVeS, is a tensor-vector-scalar theory, and attempts to explain the flat rotation curves of galaxies without calling on dark matter. As far as I know it’s viable and also predicts the accelerating expansion of the universe without dark energy. Well if the only reason to propose dark matter was to explain the observed galaxy rotations, and the dark matter particle could not be detected, then we might prefer an alternative to GR, like MOG for example. But it’s not as simple as that. The presence of dark matter is inferred for more than one reason (eg, gravitational lensing of galaxies, the observation of the Bullet Cluster, the need for a critical density of mass-energy to make the universe geometry flat, and so on). Next, it is far from being the case that every potential dark matter particle has been ruled out - there are still many potential particles to attempt to detect. Then, MOG is considerably more complex and less elegant than GR, adding a massive vector field and three scalar fields to the usual relativistic tensor field. It feels a little like adding epicycles - add enough free parameters and you can model anything. But you’re right that ultimately, if dark matter can’t be detected directly, we need to seriously question whether GR is a good model for gravity at galactic scales.
Hello hec: Thanks a lot for your detailed explanations. I really enjoy reading them. It is a big help to get your viewpoint on these things.
 
The General Relativity stands on the Special Relativity.
The Special Relativity stands on the Newtonian/Galilean relativity.
If there is a way to show that the Newtonian/Galilean relativity is not correct then the Special Relativity falls and the General Relativity falls as well.
Where does it leave the Gravity?

Well, let us consider a kinetic energy analysis of a body on a cycloid trajectory.
An parallel of a steel ball horizontally rotating at constant angular velocity (uniform circular motion) on a string
to a steel ball on flat table is used to emphasize the logic of the analysis.
The rotation is observed from the two inertial reference frame systems: ground and a moving train at a constant velocity in a straight line.
The gravity has no effect on the analysis because it’s in 90 degrees to the velocity vector at all points of the rotation.

The moving observer in a train car without any signal from outside expects uniform circular motion. Here is a top view:
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The centrifugal act and the centripetal acp accelerations are equal and they are in balance.
This is equivalent to the steel ball lying on a table:
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The table legs and the table push back and they hold the steel ball in one place, there is no change of the ball position.

The trajectory equations:
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The velocity:
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The x and y vector sum:
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The constant kinetic energy assuming there is no friction – no kinetic energy change as it is the case with steel ball on the table:
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There is no mechanical work done assuming the frictionless rotation, the centrifugal and the centripetal forces are** constraint forces**.

Let us assume the steel ball firmly attached (welded or in a box) to a well-balanced rigid body wheel rotating horizontally at uniform circular motion.
When the wheel is on the moving train then the steel ball follows the cycloid trajectory from the ground reference point of view:
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This is equivalent to the steel ball lying on the table within a box or the ball is welded.
There are walls surrounding the steel ball, they keep the ball in a fixed position.
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The walls push back against the tangential acceleration.
The fixed position means there is no mechanical work done, there is no kinetic energy change, all the forces are constraint.

… continued …
 
The steel ball is a part (a particle) of a rigid body well-balanced wheel, the kinetic energy equations are:
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The kinetic energy is constant.

The following scenario changes everything.

The steel ball rotating on a ‘massless’ string is like a steel ball on the table that does not walls around it.
The tangential acceleration is not a constraint force anymore!
The ball will move, there is a position change, there is a velocity change, there is a real acceleration that is not constrained.
The kinetic energy changes, it’s being ‘pumped’ up and down at a critical speed/resonance.
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The centripetal acceleration acp points to the axis. There is nothing pulling in the 180 degrees opposite direction to the centrifugal acceleration act. **
The vector sum of the act and acp gives us the real tangential acceleration at that is
not constrained.**
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The trajectory equations:
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The velocity:
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The x and y vector sum:
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The kinetic energy:
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The kinetic energy change analysis captures the fact that the tangential acceleration is not a constraint force anymore!
The critical speed/resonance observed in the nature when v is in the same range as r*omega is the best proof.

It just might be that there is no dark matter after all. This might help to explain why the stars of spiral galaxies rotate faster than expected:
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The ‘free’ tangential acceleration creates a prolate cycloid. The stars move faster.
Yes, it’s so simple, many relativity paradoxes go away.

Jano
 
The ‘free’ tangential acceleration creates a prolate cycloid. The stars move faster.
Yes, it’s so simple, many relativity paradoxes go away.
This is no more than pseudoscientific nonsense. Let’s look at the conclusions first. According to this “analysis” if a body revolves in a circular path on the end of a string then the physics is different whether observed from a frame of reference at rest with respect to the centre of the path or from a frame of reference in uniform motion with respect to the centre. The author claims that there are forces in the latter case which force the path traced out by the body to be a prolate cycloid. This is completely wrong and violates a very old and very well tested physical principle - Galilean invariance - which states that the laws of physics are the same in all inertial frames (ie frames in uniform motion). And, of course, the conclusion is obvious that there cannot not be different accelerations viewed from different frames.

A circularly revolving body can be viewed from an infinite number of different inertial frames. The velocity v in the equations above refers to the velocity of the frame in which the observation is made in the plane of the circular motion. If we observe the motion in the rest frame of the circle, then v=0 and the body describes a circle. If we observe it in a frame moving at v=omegar, the body describes a perfect cycloid. If v<omegar the body describes a prolate cycloid and if v>omega*r the body describes a curtate cycloid. The body is free to rotate with any arbitrary angular velocity when viewed from any inertial frame.

So what went wrong in his analysis. I’ll point out four things, although there are more:


  1. ]The diagrams and conclusions regarding the accelerations experienced by the body in the cycloid case are wrong because the author imagines that the centrifugal force is always normal to the velocity. It is not necesssarily so. The acceleration is always directed to the centre of the circle regardless of reference frame. It’s easy to see that by differentiating his expressions for velocity (equation editors or LaTex don’t work on this forum, so bear with me)
    v[x] = V - r
    omega cos(omegat)
    v[y] = r
    omega sin(omegat)
    Differentiating these for acceleration gives:
    a[x] =dv[x]/dt = r
    omega^2 sin(omegat)
    a[y] = dv[y]/dt = r
    omega^2 cos(omega*t)
    So in the expressions for the acceleration, the velocity of the frame, V, disappears - the accelerations are independent of frame as expected and always point to the centre of rotation along the string. The discussion of a[ct] and a[cp] in the penultimate cycloid diagram is nonsense.
    ]The kinetic energy analysis is gibberish. In any discussion of kinetic energy, we need the system to be kinematically complete. But a body on the end of a weightless string rotating about a weightless point is not kinematically correct. The kinematically complete analysis would include a mass on the other end of the string. The two masses would rotate around their mutual centre of mass and the kinetic energy of the system in any arbitrary reference frame moving at V with respect to the centre of mass would be the energy of rotation 0.5(Iomega^2) plus the kinetic energy of translation 0.5(m1+m2)V^2. This kinetic energy would be constant in any given inertial frame. Remember Galilean invariance - the kinetic energy cannot be constant in time in one inertial frame and not in another.
    *]The analysis of masses being whirled round on strings is not relevant to planetary or galactic dynamics. The tension in the string can be arbitrarily large, so the angular velocity can be arbitrarily large. In astronomy, the string is replaced by gravity which has a precise and constrained “tension” given by Newton’s laws - from which Kepler’s laws can be derived.
    *]The problem of flat galaxy rotation curves is not a relativistic problem.

    Is this an example from the book you wanted me to read? This justifies my refusal, don’t you think?
 
And while this is not necessarily a forum for this sort of discussion, perhaps some CA members will learn some physics.

So referring to my post above, I’d like to clarify a couple of things:
  1. Kinetic energy is not invariant under Galilean transformations. That is trivial to see. A body at rest in one inertial frame has zero kinetic energy in that frame. The same body in any other inertial frame (which by defintion is moving at a non-zero velocity v with respect to the first) has velocity v in that frame and non-zero kinetic energy.
  2. You can think of the situation of a mass folloing a circular path on the end of a string in two ways:
    a) As a closed kinematic system in which there are no external forces - in order for this to be the case you have to include the finite mass on the other end of the string, and in such an analysis the total kinetic energy of system, while different in different inertial frames, is constant in time in all inertial frames or
    b) As a body constrained to move in a circle by an external force applied by the string. This is the analysis that Jaanosik is attempting. In this case, since there is an external force the work-energy principle applies. Changes in the kinetic energy of the particle equal the work done by the external force. The instantaneous work done is given by the scalar product of the force vector and the velocity vector of the body. But we know that the velocity vector of the body is different in different inertial frames whereas the acceleration and therefore force vector is the same in all inertial frames - we proved that above, So the work done at any instant is different in different inertial frames and so the change in kinetic energy is different in different frames. In the frame at rest with respect to the centre of the circle the acceleration is always normal to the velocity and therefore the dot product is zero - no work is done and so the kinetic energy remains constant. In any other inertial frame the acceleration and velocity vectors are not always normal and so work is done and the kinetic energy of the body changes over time.
I’d say the major error of Jaaanosik is to believe that Galilean invariance demands kinetic energy to be constant in all frames if external forces are being applied. It doesn’t. There are other mistakes too.
 
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