Article View: sci.physics.relativity
Article #6981Re: Need Help With c-Invariance
From: Uncle Ben
Date: Sun, 01 Mar 2009 13:28
Date: Sun, 01 Mar 2009 13:28
113 lines
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8145 bytes
On Mar 1, 5:22 am, Pentcho Valev <pva...@yahoo.com> wrote: > On Feb 28, 10:15 pm, Tom Roberts <tjroberts...@sbcglobal.net> wrote in > sci.physics.research: > > > Aaron Arcsec wrote: > > > On Sat, 21 Feb 2009, Glen Herrmannsfeldt wrote: > > >> As particles are accelerated their mass/energy increases > > >> following special relativity. > > > > Are you claiming that a particle's mass/energy increases > > > with its speed? > > > He is using an old-fashioned terminology that has become outmoded > > precisely because it is so easy to confuse it. Like you have done. > > > The modern vocabulary uses the word "mass" only for the intrinsic > > property of an object that denotes "how much stuff is present". This is > > manifestly independent of an object's motion, and is independent of > > which observer is looking at the object. We say it is invariant. > > So Einsteiniana has abandoned the classical definition of mass hasn't > it Honest Roberts: > > http://en.wikipedia.org/wiki/Mass > "In physical science, mass refers to the degree of acceleration a body > acquires when subject to a force.....In everyday usage, mass is > commonly confused with weight. But, in physics and engineering, weight > means the strength of the gravitational pull on the object." > > The following quotations clearly show why Einsteiniana has abandoned > the classical definition of mass: > > http://www.physlink.com/Education/AskExperts/ae13.cfm > "So, it is absolutely true that the speed of light is not constant in > a gravitational field [which, by the equivalence principle, applies as > well to accelerating (non-inertial) frames of reference]. If this were > not so, there would be no bending of light by the gravitational field > of stars....Indeed, this is exactly how Einstein did the calculation > in: 'On the Influence of Gravitation on the Propagation of Light,' > Annalen der Physik, 35, 1911. which predated the full formal > development of general relativity by about four years. This paper is > widely available in English. You can find a copy beginning on page 99 > of the Dover book 'The Principle of Relativity.' You will find in > section 3 of that paper, Einstein's derivation of the (variable) speed > of light in a gravitational potential, eqn (3). The result is, > c' = c0 ( 1 + V / c^2 ) > where V is the gravitational potential relative to the point where the > speed of light c0 is measured." > > http://www.blazelabs.com/f-g-gcont.asp > "So, faced with this evidence most readers must be wondering why we > learn about the importance of the constancy of speed of light. Did > Einstein miss this? Sometimes I find out that what's written in our > textbooks is just a biased version taken from the original work, so > after searching within the original text of the theory of GR by > Einstein, I found this quote:"In the second place our result shows > that, according to the general theory of relativity, the law of the > constancy of the velocity of light in vacuo, which constitutes one of > the two fundamental assumptions in the special theory of relativity > and to which we have already frequently referred, cannot claim any > unlimited validity. A curvature of rays of light can only take place > when the velocity of propagation of light varies with position. Now we > might think that as a consequence of this, the special theory of > relativity and with it the whole theory of relativity would be laid in > the dust. But in reality this is not the case. We can only conclude > that the special theory of relativity cannot claim an unlimited domain > of validity ; its results hold only so long as we are able to > disregard the influences of gravitational fields on the phenomena > (e.g. of light)." - Albert Einstein (1879-1955) - The General Theory > of Relativity: Chapter 22 - A Few Inferences from the General > Principle of Relativity-. Today we find that since the Special Theory > of Relativity unfortunately became part of the so called mainstream > science, it is considered a sacrilege to even suggest that the speed > of light be anything other than a constant. This is somewhat > surprising since even Einstein himself suggested in a paper "On the > Influence of Gravitation on the Propagation of Light," Annalen der > Physik, 35, 1911, that the speed of light might vary with the > gravitational potential. Indeed, the variation of the speed of light > in a vacuum or space is explicitly shown in Einstein's calculation for > the angle at which light should bend upon the influence of gravity. > One can find his calculation in his paper. The result is c'=c(1+V/c^2) > where V is the gravitational potential relative to the point where the > measurement is taken. 1+V/c^2 is also known as the gravitational > redshift factor." > > http://www.mathpages.com/rr/s6-01/6-01.htm > "In geometrical units we define c_0 = 1, so Einstein's 1911 formula > can be written simply as c=1+phi. However, this formula for the speed > of light (not to mention this whole approach to gravity) turned out to > be incorrect, as Einstein realized during the years leading up to 1915 > and the completion of the general theory. In fact, the general theory > of relativity doesn't give any equation for the speed of light at a > particular location, because the effect of gravity cannot be > represented by a simple scalar field of c values. Instead, the "speed > of light" at a each point depends on the direction of the light ray > through that point, as well as on the choice of coordinate systems, so > we can't generally talk about the value of c at a given point in a non- > vanishing gravitational field. However, if we consider just radial > light rays near a spherically symmetrical (and non- rotating) mass, > and if we agree to use a specific set of coordinates, namely those in > which the metric coefficients are independent of t, then we can read a > formula analogous to Einstein's 1911 formula directly from the > Schwarzschild metric. (...) In the Newtonian limit the classical > gravitational potential at a distance r from mass m is phi=-m/r, so if > we let c_r = dr/dt denote the radial speed of light in Schwarzschild > coordinates, we have c_r =1+2phi, which corresponds to Einstein's 1911 > equation, except that we have a factor of 2 instead of 1 on the > potential term." > > Pentcho Valev > pva...@yahoo.com So, what's the problem?
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X-Google-Thread: 10f545,392a510150c5ede6 X-Google-Thread: 10b271,392a510150c5ede6 X-Google-Thread: fa4c1,392a510150c5ede6 X-Google-Attributes: gid10f545,gid10b271,gidfa4c1,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news1.google.com!news2.google.com!postnews.google.com!q18g2000vbn.googlegroups.com!not-for-mail From: Uncle Ben <ben@greenba.com> Newsgroups: sci.physics.relativity,sci.physics,fr.sci.physique Subject: Re: Need Help With c-Invariance Date: Sun, 1 Mar 2009 05:28:05 -0800 (PST) Organization: http://groups.google.com Lines: 113 Message-ID: <a6045bd2-2511-42c0-a313-00fb07fd1907@q18g2000vbn.googlegroups.com> References: <BAY113-W55222E71E34B3F6E768226A6BD0@phx.gbl> <34b0db8a-3472-4561-875a-a860a3d11c4d@j39g2000yqn.googlegroups.com> <gnkj9c$mt9$1@aioe.org> <23q5q4d1apiodp6hj1i9evdm6c1hugitih@4ax.com> <fLdql.23770$ZP4.2993@nlpi067.nbdc.sbc.com> <6ce774b6-8a2a-466d-bca8-30b23458b355@h20g2000yqn.googlegroups.com> NNTP-Posting-Host: 67.246.31.49 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1235914085 19099 127.0.0.1 (1 Mar 2009 13:28:05 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Sun, 1 Mar 2009 13:28:05 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: q18g2000vbn.googlegroups.com; posting-host=67.246.31.49; posting-account=15T5jAkAAACpO9KgK0Ue212ywoAPQtp7 User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30),gzip(gfe),gzip(gfe)