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Article #5685Re: DIVINE ALBERT, POINCARE, NON-EUCLIDEAN GEOMETRY
From: JanPB
Date: Thu, 31 Jan 2008 18:33
Date: Thu, 31 Jan 2008 18:33
51 lines
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4360 bytes
On Jan 30, 11:31 pm, Pentcho Valev <pva...@yahoo.com> wrote: > On Jan 30, 10:37 pm, JanPB <film...@gmail.com> wrote: > > > > > On Jan 30, 2:30 am, Pentcho Valev <pva...@yahoo.com> wrote: > > > >http://hem.bredband.net/b153434/Works/Einstein.htm > > > Divine Albert: "In a space which is free of gravitational fields we > > > introduce a Galilean system of reference K (x, y, z, t), and also a > > > system of co-ordinates K' (x', y', z', t') in uniform rotation > > > relatively to K. Let the origins of both systems, as well as their > > > axes of Z, permanently coincide. We shall show that for a space-time > > > measurement in the system K' the above definition of the physical > > > meaning of lengths and times cannot be maintained. For reasons of > > > symmetry it is clear that a circle around the origin in the X, Y plane > > > of K may at the same time be regarded as a circle in the X', Y' plane > > > of K'. We suppose that the circumference and diameter of this circle > > > have been measured with a unit measure infinitely small compared with > > > the radius, and that we have the quotient of the two results. If this > > > experiment were performed with a measuring-rod at rest relatively to > > > the Galilean system K, the quotient would be [pi]. With a measuring- > > > rod at rest relatively to K', the quotient would be greater than [pi]. > > > This is readily understood if we envisage the whole process of > > > measuring from the "stationary" system K, and take into consideration > > > that the measuring-rod applied to the periphery undergoes a Lorentzian > > > contraction, while the one applied along the radius does not. Hence > > > Euclidean geometry does not apply to K'." > > > > Why does Divine Albert believe that, "with a measuring-rod at rest > > > relatively to K', the quotient would be greater than [pi]"? Obviously > > > because "the measuring-rod applied to the periphery undergoes a > > > Lorentzian contraction". Then why does the segment of the periphery, > > > to which the measuring-rod is applied and which moves together with > > > the measuring-rod, fail to undergo a Lorentzian contraction? > > > The bulk of the disc prevents it. The circumference wants to contract > > but it can't - it develops internal strain instead. > > Bravo zombie! Without your explanation one may be misled into thinking > that Divine Albert has just plagiarized Poincare's 1902 result, [etc. etc.] If you have a question - ask. There is no need to pretend you are providing a valid critique when all you want is get an answer to a question you cannot figure out yourself. Just ask. Don't attack - it's infantile. -- Jan Bielawski
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X-Google-Thread: 10f545,2875c24c3759b3e4 X-Google-Thread: 10b271,2875c24c3759b3e4 X-Google-Thread: fa4c1,2875c24c3759b3e4 X-Google-Thread: f55d3,2875c24c3759b3e4 X-Google-Thread: 1139f8,2875c24c3759b3e4 X-Google-Attributes: gid10f545,gid10b271,gidfa4c1,gidf55d3,gid1139f8,public,usenet X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews.google.com!n22g2000prh.googlegroups.com!not-for-mail From: JanPB <filmart@gmail.com> Newsgroups: sci.physics.relativity, sci.physics, fr.sci.physique, fr.sci.philo, fr.sci.maths Subject: Re: DIVINE ALBERT, POINCARE, NON-EUCLIDEAN GEOMETRY Date: Thu, 31 Jan 2008 10:33:52 -0800 (PST) Organization: http://groups.google.com Lines: 51 Message-ID: <7a57c106-e32c-4baf-babe-44e23316faea@n22g2000prh.googlegroups.com> References: <1a2ecc3d-c1c4-407f-acbf-7693d1543c85@p69g2000hsa.googlegroups.com> <3947e194-b107-4cf4-96bf-b1670ae53d47@i3g2000hsf.googlegroups.com> <9d29c820-716a-439f-919c-aaf436283e5e@v67g2000hse.googlegroups.com> NNTP-Posting-Host: 63.114.26.15 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 7bit X-Trace: posting.google.com 1201804433 18079 127.0.0.1 (31 Jan 2008 18:33:53 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Thu, 31 Jan 2008 18:33:53 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: n22g2000prh.googlegroups.com; posting-host=63.114.26.15; posting-account=Y2v6DQoAAACGpOrX04JGhSdsTevCdArN User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.8.1.11) Gecko/20071127 Firefox/2.0.0.11,gzip(gfe),gzip(gfe)