Then I think you're using a faulty measure of acceleration, because that sentence is clearly inconsistent.It's accelerating away as the ground observer measures, even as v decreases.
Then I think you're using a faulty measure of acceleration, because that sentence is clearly inconsistent.It's accelerating away as the ground observer measures, even as v decreases.
Velocity with respect to what? The tower? Well the ground observer knows he's at rest with respect to that observer. Radar timings would provide the required velocity measurements. The issue of making things local is some which you've assumed by construction and now you're arguing the opposite.It's accelerating away as the ground observer measures, even as v decreases. The v is a locally measured velocity. If the projectile were rising alongside a tower, v would be the velocity someone in the tower would measure as the projectile passes by.
I've amply shown that Alpha is wrong/QUOTE]And yet no one who knows any relativity agrees with you. Of course if you're so sure why aren't you submitting your work to a journal? Why can't you provide the full GR calculation so there's no doubt your approximations are valid? All I see if you tap dancing around the issue of you justifying your claims.
Its a red herring to ask you demonstrate the validity of your claims? And 'predictable' suggests this isn't your first account here, as you have some expectations about how I treat cranks., which predictably resulted in a dump of red herrings
You're the one who queried if I really am a postgrad in some area of science. But I imagine you already knew I wasn't lying, if you're a new account for an old poster. You accused me of being unable to see the woods from the trees and suggested I read a book on logic. The fact I have a science orientated CV suggests the people who research physics think I'm pretty capable too. Its hardly irrational for me to trust actual physicists to evaluate my abilities and knowledge than someone who gets his physics from dreams. Besides you accusing me of trying to look superior is laughably hypocritical. Particularly when you follow it with :and even a CV to look superior no matter what.
You claimed to have solved major problems in physics by having a dream and you're accusing me of trying to come across as superior!? When someone says "I had a dream about physics and now I've got the solution to several problems in physics which have withstood decades of research by professional physics" then calling that person 'arrogant' is not a matter of fear that you might be right, its an entirely justified conclusion, along with the view you're delusional and irrational.I'm the one being scientific here, besides the dream itself. .... It's natural human reaction to accuse those with new ideas of arrogance.
No, I just expect people to justify their claims. I have no problem disagreeing with people, I disagree with people I work with on a number of things, ranging from whether a scalar Higgs could exist through to the physical validity of generalised geometry. I enjoy talking to informed intelligent people on subjects I don't know or on which I hold different views. That's part of the reason peer review exists, for people to scrutinise your methods and to help you improve.People like Alpha are satisfied only when you kowtow to them.
As I said to Jack in regards to SR, if you have something which could kill SR tomorrow or which actually solves various problems in physics I'd want to help in any way I could. But it seems to me you haven't and when I point out the things which I think you've failed to justify you start making excuses. If you can't justify your claims then why do you make them? Why ignore what people say about your work? If you're honest and believe your claims then you plan to submit it to a journal, where you'll get given similar comments. If I see areas you've failed to justify then reviewers will too.
Response is not retort. Your entire claim rests heavily on your assumption that the equivalence principle can be applied for regions rather than point by point in your set up. A retort would be to do the full GR calculation and show you're right. Pretty much anything short of that is a failure to retort.I've read & responded to the objections
Other than the fact you fail to justify properly critical assumptions you make, you ignore all comments by people who have experience with relativity, you fail to answer direct questions and you're here on a forum and not already undergoing review from a reputable journal. Your failure to respond to my comment that everyone here who is in academia doesn't post their work on forums in order to get it to the attention of others, they (or rather we) use journals.I'm the one being scientific here,
Here's a few direct questions so we can actually move forward :
1. Can you do the full GR calculation? If no then how do you know your approximations are sufficiently valid to make your claim valid? If yes why do you not include it in your posts, why use SR instead when it is less accurate and requires numerous assumptions?
2. Do you plan to submit your work to a journal? If yes then which journal and why haven't you done it already? If no then why post it at all as without being seen by academia it'll likely never be known in the relativity community.
3. In a related question, what level of detail and explanation would you, hypothetically, need to be presented with in order for you to say "Fair enough, I am wrong". Obviously comments and criticisms from half a dozen people with degrees or higher in relevant areas isn't enough.
4. Closely relating to Q1 and Q3, what is the upper threshold for your mathematics knowledge, so that should any of us wish to go down the route of discussing the specifics we know at what level to pitch any responses. An answer of 'yes' to Q1 implies at or above degree level, is this the case? If not from formal education where did you pick up said knowledge, assuming your claim to have any.
And remember, you claimed you're being scientific so your answers shouldn't contradict following the scientific method. You've done quite enough of that already.
Not sure what you mean, maybe you can elaborate. I may try to find a work around in Excel or do it by hand for three values, the minimum required.Make an analytical analysis, then.
Because SR is correct to a certain precision for a sufficiently small region, physics texts say, and I declared that my experiment is within such a region. (I said "I’m assuming a planet for which g is sufficiently constant over the whole experiment, so that SR gives high-enough precision results.")How do you know that SR returns correct results for your region?
Did you read my next sentence there, where confusion would be cleared up? The v is locally measured. The ground observer cannot measure v accurately except initially, when the projectile is launched. You seem to be assuming otherwise. The acceleration g (or a, used at the site) is not measured in the ground observer's frame; see the site for details on how it must be measured. "Acceleration away" means that the change in distance per unit time is increasing, as measured by the ground observer, and not that v is increasing.Then I think you're using a faulty measure of acceleration, because that sentence is clearly inconsistent.
This may be all I respond to from your post, although I'll read it, as long-winded as it is, just in case there's anything new there. Yes your requests for me to "demonstrate the validity" are red herrings. Then you repeat a dump of the red herrings you dumped before. You've been proven wrong that a fuller GR treatment is needed. SR gives correct results in the way I'm using it and to the given precision, thus no reason to use GR because GR would return the same result. Physics texts agree with me, and you've shown nothing to the contrary other than your opinion. Anything about my ability or inability to do unnecessary GR calculations or about a journal is irrelevant here. Etc. etc. I'd just be repeating ad naseum what you've been told before. All you offered in this thread is baseless accusations and irrelevant junk. If you want your ego massaged isn't there a better place to do it?Its a red herring to ask you demonstrate the validity of your claims?
Wald said:... it illustrates the difficulties which occur when one tries to derive the equations of motion of bodies from Einstein's equations via a perturbation expansion in the departure of flatness. In order to get a good approximation to a solution for a given order, one must use some aspects of the higher order equations.
In that quote, Wald is saying to take care "when one tries to derive the equations of motion of bodies". I'm not doing that. I'm using equations of motion that have already been correctly derived, in the authoritative book Gravitation.Yes, they are small perturbations away from flat but they are precisely the things whose effect you're interested in.
If the "perturbations away from flat" can be made smaller by making the region of interest smaller, then obviously they can be made negligible; i.e. too small for SR to return a different result at a given precision than a fuller GR treatment does. That is why "For sufficiently small regions, the special theory of relativity is correct!!" (not my quote, google it).Yes, they are small perturbations away from flat but they are precisely the things whose effect you're interested in.
Uh huh, sure you do. Yeah I bet there's plenty who'd treat the pseudoscience section as gospel if not for your fine work here.I generally post in reply to hacks not to convince them they are incorrect (they, you, are too far gone), I do it so a casual reader wouldn't be suckered into believing your nonsense.
Yes, I did read the rest of that post, and the point remains.BertBonsai said:Did you read my next sentence there, where confusion would be cleared up? The v is locally measured. The ground observer cannot measure v accurately except initially, when the projectile is launched.
Such arrogance will get you nowhere, Bert.BertBonsai said:You really should read Thinking Physics. The author encourages figuring out each problem presented without the use of math. When you can do that, likely you could come back to this issue and easily see that a fuller GR treatment is not required.
Don't use a numerical analysis: it is error-prone if you are unused to scientific computing. Rather, make a symbolic expression for the acceleration, and analyse it.Not sure what you mean, maybe you can elaborate. I may try to find a work around in Excel or do it by hand for three values, the minimum required.
You've "declared" it? Does it seem reasonable to you that you should be able to decide that your region is sufficiently small simply by decree?Because SR is correct to a certain precision for a sufficiently small region, physics texts say, and I declared that my experiment is within such a region. (I said "I’m assuming a planet for which g is sufficiently constant over the whole experiment, so that SR gives high-enough precision results.")
Whoa, numerical and analytical analyses are both quantitative. Qualitative is for airy fairy fluffy stuff descriptions.Make the analysis qualitative, rather than quantitative.
It's a thought expeiment, so why not?You've "declared" it? Does it seem reasonable to you that you should be able to decide that your region is sufficiently small simply by decree?
Don't know what I was thinking, there. Embarrassing, really.Whoa, numerical and analytical analyses are both quantitative. Qualitative is for airy fairy fluffy stuff descriptions.
Well, an approximation is reasonable only if the error introduced by the approximation is much smaller than the effect one is demonstrating. I haven't seen any analysis to support that, and plenty against.It's a thought expeiment, so why not?
I know you've been trying to get him to see that, but I don't think you'll succeed.Really, Bert has jumped the gun by introducing planets at all. In his equations he's really working with a uniform accelerating reference frame in flat space.
Provide page numbers.In that quote, Wald is saying to take care "when one tries to derive the equations of motion of bodies". I'm not doing that. I'm using equations of motion that have already been correctly derived, in the authoritative book Gravitation.
You're making the common crank mistake of thinking that because I know some mathematics and am comfortable talking mathematically then its the only mode in which I can converse and think. Besides, I do not require a book to tell me experiences I have had first hand. I've got hands on experience doing GR and other areas of physics, being taught it, researching it and teaching it. I have developed ways of thinking about science by actually doing science.You really should read Thinking Physics. The author encourages figuring out each problem presented without the use of math. When you can do that, likely you could come back to this issue and easily see that a fuller GR treatment is not required.
*sigh*. I'm not arguing with that, I'm arguing with your application of it where you don't justify that your assumptions are valid. I have said this before, please try to keep up.If the "perturbations away from flat" can be made smaller by making the region of interest smaller, then obviously they can be made negligible; i.e. too small for SR to return a different result at a given precision than a fuller GR treatment does. That is why "For sufficiently small regions, the special theory of relativity is correct!!" (not my quote, google it).
I have yet to see you demonstrate this kind of result comes up in your physical setup. You're consider regions light years in size.What if g ranges from x to x + 1x10^-4000. Is full GR treatment going to return a different result than SR (equations for a constant g) at 10 significant digits? Of course not. All the variation of g will drop out when rounding for significant digits. Using thinking like that, one need not break out Wald.
I didn't say that's a lot of such people. Generally its easy to see who the nuts are, they have no problem making stupid claims. But every now and again there's people who come here who present themselves as informed and able and then proceed to misrepresent the mainstream or put forth claims whose mistakes are perhaps subtle to the casual reader. Jack for instance makes a great many claims about SR and wants people to believe he understands it. He makes claims about what SR is and its methodology but almost invariably he's wrong and I (and others) point it out.Uh huh, sure you do. Yeah I bet there's plenty who'd treat the pseudoscience section as gospel if not for your fine work here.
It's impossible to do one without doing the other, in a sufficiently small region. The principle of equivalence implies (and many physics texts agree) that within a sufficiently small region, no experiment can distinguish between being at rest in a gravitational field and uniform acceleration in flat space. Google for "Locally being at rest on the Earth's surface is equivalent to being in a uniformly accelerated spaceship."Bert, you're working with uniform acceleration in flat space. Stick with that to begin with.
Don't attempt to move on to gravitation until you've confirmed your understanding of the flat space case.
Productive discussion is impossible with that type. Scientifically speaking, you shouldn't mention Alpha unless you can support his/her claims, which no reasonable person could do. You're encouraging bad behavior.You're talking at cross-purposes with AlphaNumeric, getting way over your head into matters that you don't even need to be discussing yet, when you could be engaging in productive discussion regarding the flat space scenario.
That's true, as the rocket site says as well. But so what? Where's the inconsistency? When astronomers found that supernovae are accelerating away from us, they effectively measured an increasing change in distance per unit time, from Earth. They didn't measure that acceleration at the locations of the supernovae.Yes, I did read the rest of that post, and the point remains.
You acknowledge that the inertial object's velocity can't be reliably measured except at the object's location.
It seems obvious that the same applies to acceleration.
Those situations are equivalent. In flat space for uniform acceleration, acceleration away is also the finding, as I've proven to you by example. You're just suggesting a problem without showing one; guilty by suspicion. Show a problem, then you'd have a point.Really, if you want to discuss uniform acceleration in flat space, then just say so. Say "OK, forget gravity for the moment. Consider a uniformly accelerating observer in flat space, launching a projectile in the direction of acceleration..."
When you have that sorted, then you could consider moving on to gravity an cosmic solutions.
How would that change the fact that the equations predict acceleration away as described, and that I'm using those equations correctly?Don't use a numerical analysis: it is error-prone if you are unused to scientific computing. Rather, make a symbolic expression for the acceleration, and analyse it.
Yes, it's perfectly fine to do that in a thought experiment.You've "declared" it? Does it seem reasonable to you that you should be able to decide that your region is sufficiently small simply by decree?
Following the rules of significant digits, any variation of g beyond the final precision + 1 significant digit drops out before the equations are even employed. For example, if the final answer has 5 significant digits and g ranges from 1.00000000 to 1.00000007, the only g that need be input into the equations is 1.00000. That's true for any mathematical application. Therefore in a sufficiently small region, GR can disagree with SR only if GR is invalid. Which explains (google for it) "For sufficiently small regions, the special theory of relativity is correct!!"Well, an approximation is reasonable only if the error introduced by the approximation is much smaller than the effect one is demonstrating.
That chip on your shoulder must be pretty heavy. 'That type' is people who know some physics because they've put in time and effort to understand and then apply that knowledge to develop new work which passes scrutiny by their peers.Productive discussion is impossible with that type.
Scientifically speaking you should be able to justify your claims and explicitly demonstrate that your approximation is indeed the correct approximation. I've given a specific example of how such approximations aren't straight forward, taken from a well known textbook on GR, so scientifically the onus is on you to justify you're correct. And if you're wanting to be scientific then you'd reply to direct questions you're asked. Dodging criticisms and questions would prevent your work being published if you were following the scientific method and submitting your work to a journal for review. You can't trot out "Be scientific" when you're not. Its called hypocrisy.Scientifically speaking, you shouldn't mention Alpha unless you can support his/her claims, which no reasonable person could do. You're encouraging bad behavior.
You should say please. Already done, in the link I gave where I showed acceleration away.Provide page numbers.
*bigger sigh* (Yes I know you *sigh* to try to show superiority). I am using a sufficiently small region, by declaration. Then you need not carry on as if I didn't.*sigh*. I'm not arguing with that, I'm arguing with your application of it where you don't justify that your assumptions are valid. I have said this before, please try to keep up.
Yes, for a sufficiently small region about a given point in a given space-time with given metric then you can use SR. How large this region is about a specific point is a point which should be addressed whenever someone does such a calculation. The person doing the calculation should compute such things as curvature, as it arises in a Taylor expansion of the metric about the point.
So what? Like g can't vary only at the 1000th digit in such a region in principle?You're consider regions light years in size.
Yes I have, by declaration.Why are you struggling to grasp this? Yes, its well known that GR simplifies to SR for given limits but if you're going to do that you need to show the physical system you're considering satisfy such limits. Have you? No.
Not your irrelevant ones. I showed irrelevancy.Can't you answer my direct questions?
Not a pet theory. I showed acceleration away, using existing equations of SR, not my theory. Your whole journal mention is irrelevant and not scientific reasoning. I proved that real physics is done right here, in forums. I didn't avoid your scrutiny, I refuted it.Having a pet theory and coming to a forum, rather than a journal, is a sign you want to avoid the scrutiny of those who understand the area of physics you make claims about.
Why not use some of that knowledge to see that you're wrong here?'That type' is people who know some physics because they've put in time and effort to understand and then apply that knowledge to develop new work which passes scrutiny by their peers.
That's been proven to be unnecessary.Tell you what, why don't you go through the full GR calculation, or at least get the ball rolling, and we can discuss how to explicitly demonstrate the result that GR approximates to SR for small regions.
But I'm not willing to do more than what's needed to prove my points.I'm entirely willing, and indeed actively want, to discuss the application of perturbation theory to relativity, its quite interesting.
What's really happening is that you can't admit you're wrong, so you're asking for more proof on top of the proof given. That's a common tactic of the unscrupulous.Scientifically speaking you should be able to justify your claims and explicitly demonstrate that your approximation is indeed the correct approximation.
Your example was shown to be off topic. The onus is not on me to provide additional proof. One proof is enough.I've given a specific example of how such approximations aren't straight forward, taken from a well known textbook on GR, so scientifically the onus is on you to justify you're correct.
Nope, not irrelevant ones.And if you're wanting to be scientific then you'd reply to direct questions you're asked.
And I'll tell you again, I don't care about journals. Irrelevant. Can you show that journals are necessary to do good physics? Of course not, and you'll ignore the question too.I'll ask again, do you plan to submit your work to a journal? If so, which one? If not, why not, what about being scientific and submitting to academic review?
You write whole books here, then edit them and expect me to see it all? How many times did I give you the quote "For sufficiently small regions, the special theory of relativity is correct!!"? 5 times now probably. Look it up for once! You don't even disagree with it, you just use the dishonest tactic of insisting that more proof is required. Any good text on the principle of equivalence agrees with that quote. What you provided, Wald, was shown to be off-topic. It doesn't matter what you provide when it's irrelevant./edit
I see you've replied to my previous post. As expected, nothing retorted. You also ignored several direct questions, one of which was to ask you what it would take to convince you you're wrong. You've claimed I was mistaken when asking for the full GR treatment and now I've been vindicated by a professor whose work is on the shelf in pretty much every GR academic's office in the world. You claim "Physics texts agree with me". Why ones? Provide title and page numbers. I've provided them for my justification, you should be able to do the same because if you can't then you aren't being scientific, you're just being a dishonest fraud. But then your unwillingness to answer direct questions, even when repeatedly asked, is testament to that.
Bert, you're biting of more than you can chew, and it's pissing people off.It's impossible to do one without doing the other, in a sufficiently small region.
Honestly Bert, you have no idea what you're talking about. I don't think you're trying to understand what AN is saying, all you're doing is seeing disagreement. I think that there is a misunderstanding between you and Alpha, and I think you're both behaving badly to some degree by not taking a step back and sorting out your underlying misunderstanding. A good step would be to step away from gravity for the moment, and simply focusing on uniform acceleration.Productive discussion is impossible with that type. Scientifically speaking, you shouldn't mention Alpha unless you can support his/her claims, which no reasonable person could do. You're encouraging bad behavior.
That's the question you should explore with AN. He's much smarter at that than I am.That's true, as the rocket site says as well. But so what? Where's the inconsistency?
I don't pretend to understand the details of those measurements, Bert. Do you? Remember, this is not flat spacetime. That is something we could move on to once we have our heads properly wrapped around the meaningfulness of different measures of acceleration in the flat spacetime case.When astronomers found that supernovae are accelerating away from us, they effectively measured an increasing change in distance per unit time, from Earth. They didn't measure that acceleration at the locations of the supernovae.
If the situations are equivalent, then why bother mentioning gravity? Why not just analyse uniform acceleration in flat spacetime?Those situations are equivalent. In flat space for uniform acceleration, acceleration away is also the finding, as I've proven to you by example. You're just suggesting a problem without showing one; guilty by suspicion. Show a problem, then you'd have a point.
Yet you haven't shown any problem with my understanding. Just guilty by suspicion. I used existing SR equations to show that one can match a gravity prediction of Newton's right down to the last pixel on a chart. That should give a reasonable person an indication that I might know what I'm doing. The traditional flat spacetime case is already covered on the site I linked to. In a uniform gravitational field, spacetime is flat and the ground is accelerating. That's how the situations can be equivalent.Bert, you're biting of more than you can chew, and it's pissing people off.
Seriously, forget gravity for the moment, and make sure that you have agreement on the flat spacetime case. There's no point in mentioning gravity until you have that foundation properly set.
Yes, the principle of equivalence says that uniform acceleration is the same as a uniform gravity field. No, that doesn't mean you understand General relativity.
More guilt by suspicion. No evidence at all that I don't know what I'm talking about.Honestly Bert, you have no idea what you're talking about. I don't think you're trying to understand what AN is saying, all you're doing is seeing disagreement. I think that there is a misunderstanding between you and Alpha, and I think you're both behaving badly to some degree by not taking a step back and sorting out your underlying misunderstanding. A good step would be to step away from gravity for the moment, and simply focusing on uniform acceleration.
Have you even read Alpha's stuff? If you had, you'd see that it amounts to this, paraphrased: "Yes SR is correct in a sufficiently small region, but you must prove your point in such a region using a full GR treatment". That's wanting it both ways. If I did a full GR treatment and it showed the same result, Alpha would want still more; that's the way such people are. Alpha has not shown one problem with my stuff here. That's not to say that Alpha isn't real smart about GR. It's just a pathological need of him/her to be "right" in the face of proof to the contrary.That's the question you should explore with AN. He's much smarter at that than I am.
That's like saying, if you see a gold bar in the street why pick it up? Why not just walk by? ... There's no good reason not to analyze it from the equivalent gravity perspective, esp. when it results in one of the best findings in physics of the last 50 years at least, and leads to the solution of the dark energy problem. Besides, it's what I was shown in the dream, which I'm relating here. Why should I leave out the best parts?If the situations are equivalent, then why bother mentioning gravity? Why not just analyse uniform acceleration in flat spacetime?
So what if it's a special case? I've not said otherwise. Nor does it being a special case indicate a problem. It still means that a projectile launched upward at a speed close to c initially accelerates away as measured by a ground observer. What's clogging up the discussion is that a legitimate finding has so repelled the audience that they're grasping at straws to avoid accepting it.The problem is clear - you've asserted that there's an issue with gravity, but you're demonstrating it only for the special case of uniform gravity in flat spacetime. People are pointing out that this is a special case, and it's clogging up the discussion.
Whether the discussion is productive depends on other participants. The discussion could be productive if "guilt by suspicion" wasn't being done (you started out fine), and if Alpha wouldn't use unscrupulous tactics to try to look superior. I've made my case about initial acceleration away; it's proven. I haven't tied it to cosmic expansion yet, and may not if others continue to be unscientific. (In fact it seems unlikely.) If the natives are hostile for no good reason that's the way the cookie crumbles but it's not my problem. Besides the dream itself, I've followed the scientific method here.Do you want a productive discussion, Bert? Or do you want to continue this unproductive bickering? I think there is a good discussion to be had, but you'll have to take it one step at a time. Uniform acceleration first. Gravity and cosmic expansion later.