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| Tags: einstein, elevators, experiment, thought |
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#141
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On Apr 5, 1:54 pm, "PD" wrote:
On Apr 5, 5:04 am, wrote: On Apr 4, 6:52 pm, "Eric Gisse" wrote: On Apr 4, 4:58 am, wrote: On Apr 3, 8:55 pm, "EricGisse" wrote: On Apr 3, 8:37 am, wrote: [...] 2) The shift difference with the "acceleration" cases is the gravitational shift squared divided by 2. Such difference, which is certainly not negligible in the case of the Sun, reveals the error in the PoE. No dumbass, it reveals the error in using an approximation. The dumbass is you, the exact "accelerating" shift is -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)), which is different from the "gravitational" shift GM/Rc^2 * h/(R+h))! *sigh* The Binomial expansion of sqrt(1+x) for x 1 to first order in x is 1 + x/2. That means, to first order, -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)) = GM/Rc^2 * h/(R+h). I will never understand why the equivalence principle keeps getting dragged into this. And why do you omit the second order? Because it shows that the PoE is false? Anyhow, the difference between the "gravitational" and the "acceleration" shift is GM/Rc^2 * h/(R+h) - (-1 + sqrt(1 + 2GM/Rc^2 * h/(R+h))), which, for h = distance Sun's surface - Earth is about 2.25 * 10^-12. According to the PoE, the difference should be 0 ! No. You are under the impression that, by the principle of equivalence, two expansions should agree term by term. This is incorrect. There is no such requirement, and I don't know why you think there should be. Let's take a more bonehead example: pi^2 = 8 * [1/1^2 + 1/3^2 + 1/5^2 + 1/7^2 + ...] and pi^2 = 24 * [1/2^2 + 1/4^2 + 1/6^2 + 1/8^2 + ...] Now, since both of these expansions produce the same number exactly, are you going to tell me that the two expansions have to agree term by term? Would you like to demonstrate that agreement? PD You are trying to evade the point, i.e. the validity of the PoE. See for instance the following excerpt from Strobel's Astronomy Notes. (http://www.astronomynotes.com/relativity/s3.htm) "Part of Einstein's genius was his ability to look at ordinary things from a whole new perspective and logically follow through on the consequence of the insights he gained from his new perspective. He proposed an experiment involving two elevators: one at rest on the ground on the Earth and another, far out in space away from any planet, moon, or star, accelerating upward with an acceleration equal to that of one Earth gravity (9.8 meters/second2). (Modern readers can substitute ``rocket ship'' for Einstein's elevator.) If a ball is dropped in the elevator at rest on the Earth, it will accelerate toward the floor with an acceleration of 9.8 meters/second2. A ball released in the upward accelerating elevator far out in space will also accelerate toward the floor at 9.8 meters/second2. The two elevator experiments get the same result!" I have demonstrated that the two elevator experiments give different results, meaning that they falsify the PoE. Notice that the two shift formulae *don't* produce the same number exactly! Marcel Luttgens |
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#142
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On Apr 5, 9:24 pm, "Eric Gisse" wrote:
On Apr 5, 2:04 am, wrote: On Apr 4, 6:52 pm, "Eric Gisse" wrote: On Apr 4, 4:58 am, wrote: On Apr 3, 8:55 pm, "EricGisse" wrote: On Apr 3, 8:37 am, wrote: [...] 2) The shift difference with the "acceleration" cases is the gravitational shift squared divided by 2. Such difference, which is certainly not negligible in the case of the Sun, reveals the error in the PoE. No dumbass, it reveals the error in using an approximation. The dumbass is you, the exact "accelerating" shift is -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)), which is different from the "gravitational" shift GM/Rc^2 * h/(R+h))! *sigh* The Binomial expansion of sqrt(1+x) for x 1 to first order in x is 1 + x/2. That means, to first order, -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)) = GM/Rc^2 * h/(R+h). I will never understand why the equivalence principle keeps getting dragged into this. And why do you omit the second order? Because it shows that the PoE is false? No, the higher order terms are omitted because it is being compared to a first order equation. The PoE only enters in via your delusions. Anyhow, the difference between the "gravitational" and the "acceleration" shift is GM/Rc^2 * h/(R+h) - (-1 + sqrt(1 + 2GM/Rc^2 * h/(R+h))), which, for h = distance Sun's surface - Earth is about 2.25 * 10^-12. According to the PoE, the difference should be 0 ! Dude, do you even know what the equivalence principle _is_ ? You are trying to evade the point, i.e. the validity of the PoE. See for instance the following excerpt from Strobel's Astronomy Notes. (http://www.astronomynotes.com/relativity/s3.htm) "Part of Einstein's genius was his ability to look at ordinary things from a whole new perspective and logically follow through on the consequence of the insights he gained from his new perspective. He proposed an experiment involving two elevators: one at rest on the ground on the Earth and another, far out in space away from any planet, moon, or star, accelerating upward with an acceleration equal to that of one Earth gravity (9.8 meters/second2). (Modern readers can substitute ``rocket ship'' for Einstein's elevator.) If a ball is dropped in the elevator at rest on the Earth, it will accelerate toward the floor with an acceleration of 9.8 meters/second2. A ball released in the upward accelerating elevator far out in space will also accelerate toward the floor at 9.8 meters/second2. The two elevator experiments get the same result!" I have demonstrated that the two elevator experiments give different results, meaning that they falsify the PoE. Marcel Luttgens |
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#143
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On Apr 5, 9:24 pm, "Eric Gisse" wrote:
On Apr 5, 2:04 am, wrote: On Apr 4, 6:52 pm, "Eric Gisse" wrote: On Apr 4, 4:58 am, wrote: On Apr 3, 8:55 pm, "EricGisse" wrote: On Apr 3, 8:37 am, wrote: [...] 2) The shift difference with the "acceleration" cases is the gravitational shift squared divided by 2. Such difference, which is certainly not negligible in the case of the Sun, reveals the error in the PoE. No dumbass, it reveals the error in using an approximation. The dumbass is you, the exact "accelerating" shift is -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)), which is different from the "gravitational" shift GM/Rc^2 * h/(R+h))! *sigh* The Binomial expansion of sqrt(1+x) for x 1 to first order in x is 1 + x/2. That means, to first order, -1 + sqrt(1 + 2GM/Rc^2 * h/(R+h)) = GM/Rc^2 * h/(R+h). I will never understand why the equivalence principle keeps getting dragged into this. And why do you omit the second order? Because it shows that the PoE is false? No, the higher order terms are omitted because it is being compared to a first order equation. The PoE only enters in via your delusions. Anyhow, the difference between the "gravitational" and the "acceleration" shift is GM/Rc^2 * h/(R+h) - (-1 + sqrt(1 + 2GM/Rc^2 * h/(R+h))), which, for h = distance Sun's surface - Earth is about 2.25 * 10^-12. According to the PoE, the difference should be 0 ! Dude, do you even know what the equivalence principle _is_ ? Excerpts from Wikipedia (http://en.wikipedia.org/wiki/Principle_of_equivalence #Tests_of_the_Einstein_equivalence_principle): "In the physics of relativity, the equivalence principle is applied to several related concepts dealing with gravitation and the uniformity of physical measurements in different frames of reference. They are related to the Copernican idea that the laws of physics should be the same everywhere in the universe, to the equivalence of gravitational and inertial mass, and also to Albert Einstein's assertion that the gravitational "force" as experienced locally while standing on a massive body (such as the Earth) is actually the same as the pseudo-force experienced by an observer in a non-inertial (accelerated) frame of reference." According to Einstein, "An observer in a windowless room cannot distinguish between being on the surface of the Earth, and being in a spaceship in deep space accelerating at 1g." This is false, as I have demonstrated using photons. Marcel Luttgens |
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#144
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On Apr 6, 5:18 am, wrote:
I have demonstrated that the two elevator experiments give different results, meaning that they falsify the PoE. Notice that the two shift formulae *don't* produce the same number exactly! Marcel Luttgens Umm, no, you only demonstrated that you are an imbecile and a liar. I showed you, step by step that the difference between the PoundRebka experiment and the case of an accellerated elevator of about 22.5 m (the height of the tower in the Pound Rebka experiment is 10^-30. In return, I challenged you as follows: Marcel le Cornu Write down two things side by side: 1. The gravitational redshift expanded to the second Taylor term for light originating in the Sun and observed on the Earth 2. The Doppler redshift expanded to the second term for an elevator 150*10^9m long. 3. You will notice that the first order terms are identical. Only the second order terms differ (unless you attempt another one of your stupid cheats, you's better not because you have seen how quickly I catch you) 4. Subtract the second order terms. What numerical value do you get? You never answered, come on imbecile, do the step by step calculations, what is the result? |
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#145
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On Apr 6, 7:18 am, wrote:
On Apr 5, 1:54 pm, "PD" wrote: [snip] Let's take a more bonehead example: pi^2 = 8 * [1/1^2 + 1/3^2 + 1/5^2 + 1/7^2 + ...] and pi^2 = 24 * [1/2^2 + 1/4^2 + 1/6^2 + 1/8^2 + ...] Now, since both of these expansions produce the same number exactly, are you going to tell me that the two expansions have to agree term by term? Would you like to demonstrate that agreement? PD You are trying to evade the point, i.e. the validity of the PoE. See for instance the following excerpt from Strobel's Astronomy Notes. (http://www.astronomynotes.com/relativity/s3.htm) "Part of Einstein's genius was his ability to look at ordinary things from a whole new perspective and logically follow through on the consequence of the insights he gained from his new perspective. He proposed an experiment involving two elevators: one at rest on the ground on the Earth and another, far out in space away from any planet, moon, or star, accelerating upward with an acceleration equal to that of one Earth gravity (9.8 meters/second2). (Modern readers can substitute ``rocket ship'' for Einstein's elevator.) If a ball is dropped in the elevator at rest on the Earth, it will accelerate toward the floor with an acceleration of 9.8 meters/second2. A ball released in the upward accelerating elevator far out in space will also accelerate toward the floor at 9.8 meters/second2. The two elevator experiments get the same result!" I have demonstrated that the two elevator experiments give different results, meaning that they falsify the PoE. Notice that the two shift formulae *don't* produce the same number exactly! And you'll notice that if you take any finite order of the two expansions of pi^2 that I gave you, the two finite sums do *not* add up to the same number, though the whole expansions do *exactly* add up to the same number. The PoE says that the *exact* calculation of the two elevator experiments will give the *exactly same* answer. This does NOT mean, and this is what people have been trying to tell you, that if you do an expansion of the calculation and keep only first-order terms, or keep only terms up to second-order, or keep only terms up to ninth- order, that the finite sums up to that order need to agree. In the bonehead example I gave you, they clearly don't. And they don't in your *approximations* to the two elevator cases, either. The PoE does not require that and should not be thought of as needing to require it. PD |
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#146
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On Apr 6, 4:48 am, wrote:
[...] This is false, as I have demonstrated using photons. The only thing you have demonstrated is your inability to understand the concept of the "approximation" or even the equivalence principle. You stupidly compare the results obtained from a first order then a second order equation, then come to the even stupider conclusion that the equivalence principle is invalidated. It really doesn't matter if you continue bleating - I am right and you are wrong, and nothing you say or do will ever change that. Your incessant whining will always be confined to USENET - you are too much of a coward to actually do anything in real life about stuff you are confident enough to whine about for years on end in the internet. Have a nice life, idiot. Marcel Luttgens |
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#147
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On Apr 7, 10:21 am, "Eric Gisse" wrote:
On Apr 6, 4:48 am, wrote: [...] This is false, as I have demonstrated using photons. The only thing you have demonstrated is your inability to understand the concept of the "approximation" or even the equivalence principle. You stupidly compare the results obtained from a first order then a second order equation, then come to the even stupider conclusion that the equivalence principle is invalidated. Either you have no idea about the scientific method, or you are a crackpot. Bye, Marcel Luttgens It really doesn't matter if you continue bleating - I am right and you are wrong, and nothing you say or do will ever change that. Your incessant whining will always be confined to USENET - you are too much of a coward to actually do anything in real life about stuff you are confident enough to whine about for years on end in the internet. Have a nice life, idiot. |
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#148
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On Apr 7, 5:16 am, wrote:
Marcel's weaseling snipped Marcel le Cornu Write down two things side by side: 1. The gravitational redshift expanded to the second Taylor term for light originating in the Sun and observed on the Earth 2. The Doppler redshift expanded to the second term for an elevator 150*10^9m long. 3. You will notice that the first order terms are identical. Only the second order terms differ (unless you attempt another one of your stupid cheats, you's better not because you have seen how quickly I catch you) 4. Subtract the second order terms. What numerical value do you get? You never answered, come on imbecile, do the step by step calculations, what is the result? |
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