The more I think about it, the less likely it seems to me that this data could ever be used to falsify GR. If the true velocities really are too fast to be bound in GR, then that just implies it was a mistake to classify them as a bound pair to begin with. Wide binaries would orbit each other on timescales such that we simply can't just watch them orbit each other to see that they are truly bound.
Bingo. The most likely explanation is that these stars are not actually bound.
It's difficult to get definitive measurements in astronomy due to the distance and time scales. Best bet for exploring GR with astronomical measurements is improving the results of the Event Horizon Telescope. Supermassive black holes provide an extreme environment with rapid changes. That should sort out between GR and competing theories.
The more I think about it, the less likely it seems to me that this data could ever be used to falsify GR. If the true velocities really are too fast to be bound in GR, then that just implies it was a mistake to classify them as a bound pair to begin with. Wide binaries would orbit each other on timescales such that we simply can't just watch them orbit each other to see that they are truly bound.
Bingo. The most likely explanation is that these stars are not actually bound.
It's difficult to get definitive measurements in astronomy due to the distance and time scales. Best bet for exploring GR with astronomical measurements is improving the results of the Event Horizon Telescope. Supermassive black holes provide an extreme environment with rapid changes. That should sort out between GR and competing theories.
You talk as if improving the results of the Event Horizon Telescope for this kind of definitive answer was easily done. When in fact this likely to be order of years if not decades, if we are talking about the addition of orbital radio telescopes.
likely again muddied the initial fundamental issues... Momentum is transferred between the resonant field and the induced field(s) in the frustum walls. This seems clear since the EM fields associated with the frustum walls is induced by an interaction with the resonating EM field within the frustum. However, unlike classical systems, only one massive object is involved, the frustum itself.
Since the EM radiation that ultimately generates the resonant field is introduced from outside the frustum, it does not seem to be a closed system in the classical since we expect when speaking of CoM. Instead it seems more appropriate to evaluate the system as a whole within the context of conservation of energy (CoE), which would include the external EM source, and any transfer of momentum would be included as one component, of CoE.
A second question raised in the linked post, was whether an EM field has any “inherent” momentum potential greater than that associated with the momentum of the individual photons/EM waves that the field is generated/composed from/of? My initial thought is that the momentum potential within the resonant field is limited to that basic momentum, just mentioned.
My focus on a need for higher power tests and even reverting to testing earlier frustum designs with the improved test beds, of the day, is grounded on two questions, I don’t feel have been resolved.
One is that, should the potential momentum available for transfer be limited to the inherent momentum associated with any EM photons/waves contributing to the internal resonant EM field, there is a possibility that the there would be insufficient total momentum potential available, from low power systems to overcome the inherent inertial resistance of the device’s mass and inherent initial resistance of the test bed. Think of it like this were we dealing with a photon rocket what would be the minimum power/force required to overcome the inherent inertia of the mass of the device itself? Higher power tests provide a greater possible momentum potential to begin with.
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It does not matter how sensitive your test equipment is, if the device you are testing does not or cannot generate sufficient force to overcome the involved inertial mass and inherent baseline resistance of the test equipment.
Higher powered tests have a greater potential of producing a more significant interaction, with little or no change in the total inertial mass of the device.
The more I think about it, the less likely it seems to me that this data could ever be used to falsify GR. If the true velocities really are too fast to be bound in GR, then that just implies it was a mistake to classify them as a bound pair to begin with. Wide binaries would orbit each other on timescales such that we simply can't just watch them orbit each other to see that they are truly bound.
Bingo. The most likely explanation is that these stars are not actually bound.
It's difficult to get definitive measurements in astronomy due to the distance and time scales. Best bet for exploring GR with astronomical measurements is improving the results of the Event Horizon Telescope. Supermassive black holes provide an extreme environment with rapid changes. That should sort out between GR and competing theories.
You talk as if improving the results of the Event Horizon Telescope for this kind of definitive answer was easily done. When in fact this likely to be order of years if not decades, if we are talking about the addition of orbital radio telescopes.
I didn't say it would be easy. It could take a decade with funding. But it would take less time than observing wide binaries for decades only to discover they're not really wide binaries (not a test of GR).
We have 71 'binaries', where we know the position of all 142 stars, and their velocities. For these 71 'binaries,' and I've put the word binary in quotes, not because I think there is any reason to doubt that they are binaries, but because it doesn't matter whether actually are or not. They are still a test of our theory of gravity, even if they are somehow not really binaries.
We still have to explain why they are moving as they are moving.
For all 71 of these instances the stars in question are well separated from anything else. We know they are exerting a gravitational force on each other. Unless there is some mass we cannot see, everything else is far enough away that their gravitational impact on the motions of each of these instances should be minor.
But out of the 81 instances, 44 are behaving like Newtonian physics (or GR) would predict. But for all of these 44, the real or apparent distance between the pairs is less than 7000 AU.
All 37 pairs whose real or apparent distance is more than 7000 AU apart are diverging from what Newtonian physics (or GR) would predict. And they are diverging in a consistent way.
Something seems to be going on. As Gaia continues to take measurements we will likely get even more 'binaries' that can be compared.
We have 71 'binaries', where we know the position of all 142 stars, and their velocities. For these 71 'binaries,' and I've put the word binary in quotes, not because I think there is any reason to doubt that they are binaries, but because it doesn't matter whether actually are or not. They are still a test of our theory of gravity, even if they are somehow not really binaries.
We still have to explain why they are moving as they are moving.
For all 71 of these instances the stars in question are well separated from anything else. We know they are exerting a gravitational force on each other. Unless there is some mass we cannot see, everything else is far enough away that their gravitational impact on the motions of each of these instances should be minor.
We only know the locations and velocities of the stars (some components of the velocities at least). There is only a meaningful relationship between velocity and separation if the stars are bound. Otherwise, gravitational theory can only predict acceleration which is not within our capability to meaningfully measure on any practical time scale. The separations between the stars being considered are measured in light years, such that the separation between the sun and the Alpha Centauri system would fit into the relevant section of the plots (around 1.3 parsecs) Other gravitational influences certainly need to be considered at that scale.
But out of the 81 instances, 44 are behaving like Newtonian physics (or GR) would predict. But for all of these 44, the real or apparent distance between the pairs is less than 7000 AU.
All 37 pairs whose real or apparent distance is more than 7000 AU apart are diverging from what Newtonian physics (or GR) would predict. And they are diverging in a consistent way.
Something seems to be going on. As Gaia continues to take measurements we will likely get even more 'binaries' that can be compared.El-Brady showed that GR does in fact predict something different to happen as the separation increases, because components of the velocity that can be measured accurately enough are measured in different planes for each star, breaking naive assumptions that the velocities are measured in the same plane. Corrections for this can only be done with sufficiently accurate measurements of the 3rd velocity component, but El-Brady showed that at a minimum the measured values are consistent with a GR based model that accounts for the actual way measurements are performed.
I've overstated the case. If we imagine the stars didn't exist one hundred years ago, and then ninety-nine years ago, we put them in their current locations with their current velocities, then in that context the arrangement wouldn't reveal much about gravity.
But if the stars have been in existence for millions of years, and they've been experiencing gravity over that span of time, then it's a struggle to imagine how they can be in these locations and with these velocities at this point in time without being binaries. It seems intuitively spectacularly unlikely.
But the trouble is that saying you can't imagine how something can occur isn't proof that it isn't possible.
If we look at figure 3 in the Al-Badry paper, four different panels are shown for different scenarios that were modeled. Now I have a lot of questions about the wide binary simulation in the Al-Badry paper, but I'm pretty confident that at least in this much I've got it right, that these four panels in figure 3 show the results of four different runs of the simulation under four different assumed states of knowledge about the stars.
In the bottom panel we see a simulated binary run where it's assumed the viewer from earth has no information on the radial velocity of these stars. From Hernandez et al. paper (2019), we know only 10 of the systems might fit this condition (I need to verify that they truly have no radial information on these stars, or if they just meant that the radial information was incomplete.) But in any event the bottom panel would only apply to at most 10 of the 81 systems the Hernandez et al. have chosen to focus on.
In figure 2 of Al-Badry paper they superimpose the data from the 81 systems from the Hernandez et al. paper (2019) on the simulated binary run which assumed no radial data. It fits quite well. That seems quite impressive, and if they have done the simulation correctly it explains the data from 10 of the 81 systems. (Or actually really I do have questions even then, but for now I'll skip all of that.)
But it leaves the question of why the Al-Badry paper didn't superimpose the data from the Hernandez paper on the other three simulated binary runs revealed in figure 3. The top panel in figure 3 is a simulated binary run where we know the radial velocities and the radial velocity data has a standard deviation of 0.2 km/s. This would likely apply to some subset of the Hernandez data. Why isn't it plotted?
I've overstated the case. If we imagine the stars didn't exist one hundred years ago, and then ninety-nine years ago, we put them in their current locations with their current velocities, then in that context the arrangement wouldn't reveal much about gravity.
But if the stars have been in existence for millions of years, and they've been experiencing gravity over that span of time, then it's a struggle to imagine how they can be in these locations and with these velocities at this point in time without being binaries. It seems intuitively spectacularly unlikely.
But the trouble is that saying you can't imagine how something can occur isn't proof that it isn't possible.What are you trying to say here? The last sentence here that you stated is a great counterargument to the paragraph immediately preceding it. Intuition is completely useless when determining the expected distribution of stars with some given relative proximity. There are models that predict it, but also lists of reasons why they could be wrong. The El-Badry paper lists reasons that there can be stars near each other with not particularly different velocities even if unbound.
If we look at figure 3 in the Al-Badry paper, four different panels are shown for different scenarios that were modeled. Now I have a lot of questions about the wide binary simulation in the Al-Badry paper, but I'm pretty confident that at least in this much I've got it right, that these four panels in figure 3 show the results of four different runs of the simulation under four different assumed states of knowledge about the stars.
In the bottom panel we see a simulated binary run where it's assumed the viewer from earth has no information on the radial velocity of these stars. From Hernandez et al. paper (2019), we know only 10 of the systems might fit this condition (I need to verify that they truly have no radial information on these stars, or if they just meant that the radial information was incomplete.) But in any event the bottom panel would only apply to at most 10 of the 81 systems the Hernandez et al. have chosen to focus on.The Hernandez paper uses 1D velocity in its plots, its results are based on comparing to a model that makes an incorrect assumption about the velocities that are used. Since no correction was made in the Hernandez paper for this effect, and it is easy to simply not do the correction, then there is no problem just comparing the data in that way. It at least shows that there is no obvious inconsistency in the more accurate part of the velocity data with GR, when using a model that correctly represents how the data was measured.
I know intuition is an unsatisfactory argument, but think about what is implied if in fact the stars are not bound. That means that two stars have wandered relatively close together with rather similar speeds.
For the systems where we have the full velocity data, not only do we have similar speeds but both velocities are in the same plane.
But trying to quantify the odds of this occurring is probably quite difficult, so I think the reference to less than 10% chance for each not being bound in the Hernandez paper is not an assessment of the actual odds, but instead an assertion that they have proved it's less than a 10% chance, although in fact they believe the odds are far, far less than that.
The Hernandez paper uses 1D velocity in its plots, its results are based on comparing to a model that makes an incorrect assumption about the velocities that are used. Since no correction was made in the Hernandez paper for this effect, and it is easy to simply not do the correction, then there is no problem just comparing the data in that way. It at least shows that there is no obvious inconsistency in the more accurate part of the velocity data with GR, when using a model that correctly represents how the data was measured.I do not understand this assertion. Figure 2 is the same as the bottom panel in figure 3, except Figure 2 has the data from the Hernandez et al. paper superimposed.
The bottom panel of the four panels in figure 3 is labeled "no RVs", where RV means 'radial velocity' and therefore this is a simulation run under the assumption that we are only seeing the apparent motions and don't know the real velocity or real distance between the stars.
Do you disagree with that? Or do you mean that if we just ignore the radial data on the grounds that the radial data is not nearly as good as the other data, then it reconciles with GR?
If it's the latter case, remember that I wondered awhile ago if that was going on, and asserted that if El-Badry was implicitly assuming the radial data was bad, then he needed to explicitly state that he was doing that.

Late 3rd week in July 2019 could be an interesting date in EmDrive history.
Wonder what automobile company makes fuel cell powered vehicles?
Late 3rd week in July 2019 could be an interesting date in EmDrive history.
Wonder what automobile company makes fuel cell powered vehicles?
Late 3rd week in July 2019 could be an interesting date in EmDrive history.
Late 3rd week in July 2019 could be an interesting date in EmDrive history.Phil, you've had plenty of opportunity to provide data; to provide proof. You haven't done so.
No matter what anyone's personal "beliefs" are, science relies on data to define a proof. Belief without data is more akin to religion than science.
This is a place for science.
Late 3rd week in July 2019 could be an interesting date in EmDrive history.
Wonder what automobile company makes fuel cell powered vehicles?
Interesting article....
https://aetux.com/wp-content/uploads/2019/05/Non-rocket-non-reactive-quantum-engine.pdf