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Article #6888Re: NEWTON'S EMISSION THEORY OF LIGHT
From: Pentcho Valev
Date: Fri, 03 Apr 2009 06:20
Date: Fri, 03 Apr 2009 06:20
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5428 bytes
Two Einsteins confuse Einsteinians: The Albert Einstein of our generation clearly accepts Newton's emission theory of light but then finds it suitable to confuse other Einsteinians: http://www.amazon.com/Brief-History-Time-Stephen-Hawking/dp/0553380168 Stephen Hawking, "A Brief History of Time", Chapter 6: "Under the theory that light is made up of waves, it was not clear how it would respond to gravity. But if light is composed of particles, one might expect them to be affected by gravity in the same way that cannonballs, rockets, and planets are.....In fact, it is not really consistent to treat light like cannonballs in Newtonβs theory of gravity because the speed of light is fixed. (A cannonball fired upward from the earth will be slowed down by gravity and will eventually stop and fall back; a photon, however, must continue upward at a constant speed...)" The original Einstein also believed in and even used Newton's emission theory of light but confused Einsteinians in a different way: 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.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 pvalev@yahoo.com
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X-Google-Thread: 10f545,f9b66444b84d54f2 X-Google-Thread: 10b271,f9b66444b84d54f2 X-Google-Thread: fa4c1,f9b66444b84d54f2 X-Google-Attributes: gid10f545,gid10b271,gidfa4c1,domainid0,public,usenet X-Google-Language: ENGLISH,CP1252 Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews.google.com!p11g2000yqe.googlegroups.com!not-for-mail From: Pentcho Valev <pvalev@yahoo.com> Newsgroups: sci.physics.relativity,sci.physics,fr.sci.physique Subject: Re: NEWTON'S EMISSION THEORY OF LIGHT Date: Thu, 2 Apr 2009 23:20:46 -0700 (PDT) Organization: http://groups.google.com Lines: 64 Message-ID: <55eeb8b6-8cc6-4d45-8321-b07a572f4c14@p11g2000yqe.googlegroups.com> References: <15d02346-2ab7-452e-8ca3-0dc3f8aba8ec@q16g2000yqg.googlegroups.com> <49CD2D31.CE3E081D@hate.spam.net> <c1fffa6f-b9d3-4b43-a69f-e5ef1aafd876@p11g2000yqe.googlegroups.com> <42d97247-ab58-41e2-a79a-a8b84d142665@x29g2000prf.googlegroups.com> <19ba3b3f-e935-4a09-b256-57678702f622@c36g2000yqn.googlegroups.com> <075c2821-d56e-4c9d-b3d8-9afd9c9ea19d@e18g2000yqo.googlegroups.com> <igm8t41jicm6art1mmi5u4c29aanht3djc@4ax.com> <wTZAl.270087$WX2.197770@newsfe23.ams2> NNTP-Posting-Host: 79.100.231.46 Mime-Version: 1.0 Content-Type: text/plain; charset=windows-1252 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1238739646 23511 127.0.0.1 (3 Apr 2009 06:20:46 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Fri, 3 Apr 2009 06:20:46 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: p11g2000yqe.googlegroups.com; posting-host=79.100.231.46; posting-account=Lz-LbgoAAABPDavKeW-eYeobwLHD_cvQ 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)