Mathematical Obscurities in Special Relativity

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20 years 11 months ago #6889 by tvanflandern
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Jan</i>
<br />The speed of light is the same for the observer in S and S', so x=ct and x'=ct'. Hence, x/t = x'/t'. Using the Lorentz Transformation, we know that x/t = x'/t' = (x - v*t)/(t-(v/c^2)*x) = x/t + v*((x/(c*t))^2-1) + O(v^2) + ...<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Your lead-in assumption was that v = c, as in x=ct. You cannot then switch assumptions and treat it as v&lt;c.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">SR has been proved untenable beyond any reasonable doubt.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Given that hundreds of the best minds in history have plowed this same ground before, a humbler approach such as asking where the error is in your derivation would be much less offensive. -|Tom|-

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20 years 11 months ago #6997 by Jan
Replied by Jan on topic Reply from Jan Vink
Tom,

If you feel offended, then I have attained my goal. However, this is not meant personally, believe me. But let me elaborate.

With my post, I intend to have a relativists experience, just for once, how the rest of us "morons" feel by having to live with the swindle that is called Relativity. Also, let me inform you that my argument can be found in:

Walter Theimer, "Die Relativitätstheorie: Lehre, Wirkung, Kritik" (A. Francke, Bern and München, 1977).

Therefore, if you do not agree with my post, then critise others that come up with the same problems. SR is riddled with ambiguities where and how terms are specified, if at all specified.

A quote:

" In some derivations of the Lorentz transformation (in particular by Einstein), there are contradictions arising from the fact that the coordinates discussed are in the same time that of the photon and that of a general spatio-temporal event (e.g. Baig)"

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">Your lead-in assumption was that v = c, as in x=ct. You cannot then switch assumptions and treat it as v&lt;c.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">

Who is talking about assumptions? I have not used any assumption, other than that the velocity of light is the same everywhere. Relativists do this on a daily basis. Or are you questioning the validity of x=ct and x'=ct' when two observers try to measure one single photon? Here, v is the velocity of the origin of S' as measured from S. I have made no assumptions other than that the S and S' start from a common origin and a photon is eminating from the origin in the x-direction. Again, this is not my idea, but can be found in any "credible" physics book.

Where could I have possibly gone wrong in my proposition? it only has two steps. Both of which are justified in an experiment where we measure a circular wave front of light eminating from the common origin. Since relativity tells us that both observers S and S' perceive that they are in the center of the circular wave front, we simply set x=ct and x'=ct' for the distant traveled by the single photon in both frames. Again, this is not my idea, but this is used to derive the Lorentz Transformation. See "Linear Algebra" by Friedrig, Insel and Spence (Fourth Edition), pp. 451-464.

Since x' and t' are related to x and t through this transformation, the result is inevitable.

I need to stress that my "rant" is by no means personal, but you probably understand.




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20 years 11 months ago #6998 by tvanflandern
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Jan</i>
<br />With my post, I intend to have a relativists experience, just for once, how the rest of us "morons" feel by having to live with the swindle that is called Relativity.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">So why beat me up with it? I'm no SR supporter, and my intuition says the same as your does. But your argument (like the one in the book, one of dozens of published treatises that are wrong) is not valid for SR for the usual reason -- not letting go of simultaneity.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">SR is riddled with ambiguities where and how terms are specified, if at all specified.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">I disagree. Once you let go of simultaneity, it all starts to make mathematical sense. The physics never did and never will make sense.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">"In some derivations of the Lorentz transformation (in particular by Einstein), there are contradictions arising from the fact that the coordinates discussed are in the same time that of the photon and that of a general spatio-temporal event (e.g. Baig)"<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Yet another example of not letting go of simultaneity. That phrase "at the same time" is poison when trying to understand mathematical relativity.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">S and S' start from a common origin and a photon is eminating from the origin in the x-direction.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Thank you for clarifying the setup.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">Where could I have possibly gone wrong in my proposition? it only has two steps.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">You must decide whether you wish to track the moving photon traveling at speed c or a moving body traveling at v&lt;c. You cannot do both <i>simultaneously</i> because there is no simultaneity as you know it in SR.

So the relations x=ct and x'=ct' hold only for the moving photon. They do not apply to bodies moving at speed v. And when you switch to bodies moving at speed v, the photon relation no longer holds. That is because there is no distant simultaneity in SR.

If you ever hope to understand why relativists are wrong but not crazy, you must jettison all notions of simulteneity as you know it.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">I need to stress that my "rant" is by no means personal, but you probably understand.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">I do understand, but tire of trying to teach this weird, obsolete theory. The mental energy required to grok it is just not worth it, IMO. -|Tom|-

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20 years 11 months ago #6999 by Jan
Replied by Jan on topic Reply from Jan Vink
Tom,

A quote by some scientist that sums up the miserable state of affaires we find ourselves in:

"there has not been a fair balanced debate concerning the veracity or falsity of Special Relativity. All we get are two armies lined up against each other. There is no genuine debate and exchange of ideas. The debate is somewhat like that of a pair of drunks, who do not listen to each other. Any riposte is good enough, just to counter the point of the other side"


SR is like religion, you just believe it or you don't. There does not exist true objectivity.

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20 years 11 months ago #7188 by tvanflandern
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Jan</i>
<br />"there has not been a fair balanced debate concerning the veracity or falsity of Special Relativity."<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Yes, there was such a debate sponsored by the American Institute of Physics in 1959 -- well celebrated at the time, and probably the last time such a debate occurred where the outcome was not a foregone conclusion. (It was still respectable to disagree with relativity back then because it was still a frontier topic with few applications.)

At least one major physics figure and relativity supporter in the debate, Herbert Dingle, was eventually led to defect and write the then-famous book "Science at the Crossroads". However, in hindsight, his arguments were like yours and hundreds of others that presumed a certain measure of distant simultaneity and were therefore not the least bit persuasive to other relativists.

The discussions launched by the debate simmered through the 1960s and into the early 1970s. Mendel Sachs wrote about another "paradox" disproving SR in Physics Today, the most widely read physics publication in the world. The response was intense and emotional on both sides and raged on through many issues of the magazine. Eventually, the relativists prevailed because most of the dissenters were still making the same old failure to jettison simultaneity and were defeated on that grounds -- a failure to understand. The larger result was even more unfortunate: Physics Today and other publications adopted editorial policies against dealing with disputes of relativity as "too complex to deal with and always eventually proved wrong".

Every year, new minds come out of schools, and some of them get stopped cold by the same old dilemmas. But there are few relativists still willing to listen. All arguments based on some internal inconsistency in SR are of this type that will persuade no one because "time slippage" resolves all such apparent paradoxes. (Our "universal instant of now" corresponds to the infinite past, present, and infinite future of any other frame, depending on location.) It has been proved that no information can get out of the "light cone" even at speed c, so no real contradiction is possible.

So we are left with two choices:

(1) Keep trying to understand SR until you "get it" the way the relativists do. That took me 25 years. My article www.dipmat.unipg.it/~bartocci/ep6/ep6-vanfl.htm was an attempt to help others get there quicker. Frankly, it was rewarding when I finally did "get it", even though I never believed a word of it. But like solving the Rubiks Cube, I felt a sense of accomplishment over having finally solved a puzzle, however worthless the effort might have been in a practical sense. However, it did allow me to switch my focus from finding logical problems with SR to finding experimental disproofs.

or

(2) Move on. [:)] -|Tom|-

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20 years 11 months ago #6935 by Jan
Replied by Jan on topic Reply from Jan Vink
Tom,
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"> Every year, new minds come out of schools, and some of them get stopped cold by the same old dilemmas. But there are few relativists still willing to listen. All arguments based on some internal inconsistency in SR are of this type that will persuade no one because "time slippage" resolves all such apparent paradoxes. (Our "universal instant of now" corresponds to the infinite past, present, and infinite future of any other frame, depending on location.) It has been proved that no information can get out of the "light cone" even at speed c, so no real contradiction is possible.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">

I find this affair very depressing. It is assumed that everyone is less "intelligent" than the people who came up with the theory. From 1905, things have gone downhill ever since, and always will, so it seems.

The physical universe has turned into a geometric excercise, where the photon is the slave driver. That is to say, the photon imposes its behaviour on any space-temporal event of any conceivable kind.

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">Move on<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">

We must, but not without our scars [B)]

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