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Article #6214Re: A New Solution to the Twins Paradox, and Others
From: Pentcho Valev
Date: Tue, 30 Oct 2007 17:25
Date: Tue, 30 Oct 2007 17:25
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6089 bytes
On 30 Oct, 16:14, Tom Roberts <tjroberts...@sbcglobal.net> wrote in sci.physics.relativity: > Alen wrote: > > On Oct 31, 12:02 am, stevendaryl3...@yahoo.com (Daryl McCullough) > > wrote: > >> Alen says... > >>> You are right, and they have to resort to houdini-like > >>> contortions to avoid it. The accumulated time dilations of > >>> A in B's view, and B in A's view, are created when A and > >>> B are inertial frames. Yet, all this is magically invalidated > >>> because A and B accelerate and decelerate, but it is not > >>> invalidated in a third frame C, into which they decelerate. > >> Your problem, Alen, is that you rely on fuzzy concepts > >> without attempting to make them clear. What do you mean > >> by saying that "the accumulated time dilations...[are] > >> magically invalidated"? > >> The meaningful quantity is not "accumulated time dilations" > >> but the proper time recorded by each twin. How can time dilations > >> accumulate? What does that even mean? > >> In Special Relativity, the time shown on any ideal clock > >> that travels from event P1 to event P2 is given by: > >> Tau = Integral from t1 to t2 of square-root(1 - (v/c)^2) dt > > > At constant velocity, integration is not necessary. > > But the twin scanario does not have "constant velocity". > > > You need > > only write Dt' = (1/g)Dt, where D means a macroscopic time > > interval > > A sees B's Dt' to be less than his Dt > > B sees A's Dt' to be less than his Dt > > Yes. But remember this ONLY applies to an inertial frame. And remember > how these are measured: A and B each need assistants comoving with > themselves to measure an interval of the other's clock, because the > other's clock is MOVING relative to themselves. A marks the time on his > own clock and the time on B's clock ONLY when B is right next to A; A's > assistant marks the time of his (the assistant's) clock and the time on > B's clock ONLY when B is right next to him (the assistant). So there are > no "propagating photons". (interchange A and B for the other case; the > assistants' clocks are synchronized with their respective observers' > clocks -- do this via slow clock transport so there still are no > "propagating photons"). Note this is not at all the twin scenario; while > it can be applied to the inertial twin, it cannot be applied to the > accelerated (traveling) twin, because it requires an inertial frame > THROUGHOUT. > > If you want to apply this to the traveling twin, assume > he moves with constant velocity during the outbound and > return legs, with an instantaneous turn-around. This analysis > can then be applied during the outbound leg, and SEPARATELY > during the return leg. But the traveling twin's assistant > at the location of the inertial twin much CHANGE CLOCK > SYNCHRONIZATION WITH THE TRAVELING TWIN when the traveling > twin turns around. This change in clock synchronization is > essential for this type of analysis, and fully explains the > effect. > > > A's view of B, and B's view of A appear to > > magically vanish in the orthodox solution. > > Not true. There's no "magic", just basic physics. For an actual twin > scenario, A and B are distinguishable by the acceleration of one and the > non-acceleration of the other. When one does the ACTUAL COMPUTATION one > always finds that the accelerated (traveling) twin has less elapsed > proper time than the inertial (non-traveling) twin. Roberts Roberts are you really a distinguished hypnotist in Einstein criminal cult or just a hyperactive zombie? Countless times people explained to you that acceleration is immaterial in the quantitative interpretation of twin paradox; countless times you repeated the above idiocy. At least you should learn what your cleverer brothers hypnotists teach: http://isites.harvard.edu/fs/docs/icb.topic193296.files/chap11.pdf p. 14: "For the entire outward and return parts of the trip, B does observe A's clock running slow, but enough strangeness occurs during the turning-around period to make A end up older. Note, however, that a discussion of acceleration is not required to quantitatively understand the paradox, as Problem 11.2 shows." Pentcho Valev
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X-Google-Thread: 10f545,177dffb472c62cdc X-Google-Thread: 10b271,dfefe1ce1292e065,start X-Google-Thread: f74ae,dfefe1ce1292e065,start X-Google-Thread: fa4c1,dfefe1ce1292e065,start X-Google-Thread: 1139f8,dfefe1ce1292e065,start X-Google-Attributes: gid10f545,gid10b271,gidf74ae,gidfa4c1,gid1139f8,public,usenet X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!y42g2000hsy.googlegroups.com!not-for-mail From: Pentcho Valev <pvalev@yahoo.com> Newsgroups: sci.physics.relativity,sci.physics,sci.astro,fr.sci.physique,fr.sci.maths Subject: Re: A New Solution to the Twins Paradox, and Others Date: Tue, 30 Oct 2007 10:25:55 -0700 Organization: http://groups.google.com Lines: 84 Message-ID: <1193765155.362319.81470@y42g2000hsy.googlegroups.com> References: <1192767150.376630.10000@k35g2000prh.googlegroups.com> <1193748004.510221.32130@k35g2000prh.googlegroups.com> <fg7a0a0ovi@drn.newsguy.com> <1193750729.816539.127900@e34g2000pro.googlegroups.com> <n%GVi.37850$eY.9612@newssvr13.news.prodigy.net> NNTP-Posting-Host: 85.91.141.159 Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Trace: posting.google.com 1193765155 11388 127.0.0.1 (30 Oct 2007 17:25:55 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Tue, 30 Oct 2007 17:25:55 +0000 (UTC) In-Reply-To: <n%GVi.37850$eY.9612@newssvr13.news.prodigy.net> User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 6.0; Windows NT 5.1; SV1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30),gzip(gfe),gzip(gfe) Complaints-To: groups-abuse@google.com Injection-Info: y42g2000hsy.googlegroups.com; posting-host=85.91.141.159; posting-account=ps2QrAMAAAA6_jCuRt2JEIpn5Otqf_w0