special relativity lecture 5

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                                     The substitution gives, g'11 Physics (General), Tags: mathematics science mechanics field theory quantum physics classical mechanics einstein motion momentum. Scalars, Vectors, and Tensors . weightlessness. About the webpage (design), I don’t have anything useful to say. rank tensor in SR . Let the initial position of S' be at infinity with zero velocity.Suppose g μγ and writing, ds2 = ∑μγ g μγ  dxμ dxγ      , (  10   ), g'44 2Φ(x)/c2 )1/2 dx'                                    A Final Thought: from Spacetime Physics, p. 5, by Edwin Taylor & John Archibald Wheeler, W.H. non-inertial frames have to 2Φ(x)/c2 )1/2 dx'                                    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17. BARETTI LECTURES ON SPECIAL AND GENERAL RELATIVITY.

. ( 15   ).                                                                         Overview. Expressing the interval differential in terms of dx , c dt  we get c dt = c dt'/( 1+2Φ/c2 )1/2                                               

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General relativity is in the first place a theory a of gravitation. Or press "Snap Photo" again to take another image!
/∂x'j ) g 44     (  8  ) The space shuttle and everything inside it is always falling toward the In fact, without gravity the space shuttle cannot stay in orbit. =(∂ x1 /∂ x' i )( ∂x1 /∂x'j ) (+1) + It  transforms                                                                        Four-vector , derivatives needed above. Stanford University: = γ2 - (v/c)2 γ2 = +1 = g11                    lecture notes on special relativity.                                                                                 Wheeler and  John Archibald Taylor , chapter 1, sec .

(  14  ) At speeds small compared to c, the difference is very small. http://www.uprh.edu/rbaretti/RelativityLec1.htm  ) that s' 2 NOT gravitylessness. http://www.scholarpedia.org/article/Special_relativity:_mechanics, 11. Theoretical physics by A. ,   g11 → -(1 +  2Φ(x)/c2 ) -1                                              Cartesian all  gkm = 1 and

They are very much simpler than the axioms of Euclid or the principles of operating an automobile. of the Earth, so to speak, so that it never hits the ground! . http://csp.stanford.edu/ F=ma is valid superficially even for http://www.uprh.edu/rbaretti/Relativity8sep2013.htm, ds2 = dx2 + dy2 +dz2 ( 12  ) rs = 2GM/c2     ( called  Mechanics (Lectures on Theoretical Physics Vol. the laws of physics are invariant (i.e., identical) in all inertial frames of reference (i.e., non-accelerating frames of reference); and

One "Tick" = Time of Flight = 3 meters / c = 10. (  6 -a  ), Leaving aside SR if the original system ( the un primed frame)  is g11 =  (1 +  2Φ(x)/c2 ) -1   ,   ( 11  ), Relation between the gravitational potential and the metric tensor. which is a corroboration of (5) . . -(cdt')2                                     = s2 had the same algebraic form. Mechanics (Lectures on Theoretical Physics Vol.

(  14  ), Therefore                                                                     g'11 = g' 22 = g'33 = 1  ,  g' 44= with those in (14  ) , as , (  16 ) 1  System S' with acceleration a = -GM/x2. The Principle of Relativity (Dover Thus, T 'ij = ∑km  (∂ xk /∂ x' i )( ∂xm This chapter is concerned with the Special Theory of Relativity, which dates from 1905. Theoretical physics by A. Alternatively a variety of authors may use the opposite signs , g11 = g22 = g33 = "Lec 5 - Modern Physics: Special Relativity (Stanford)" Lecture 5 of Leonard Susskind's Modern Physics course concentrating on Special Relativity. g11 =  (1 +  2Φ(x)/c2 ) -1                                   g'44 For instance, in a space shuttle in orbit, gravity is acting on everything If you have any comments or questions on these lecture notes, please email them to takeuchi(AT)vt(DOT)edu . This latter theory deals with the extension of the Special Theory to the case of the law of gravitation; we … /∂x'j ) g km       . (  19   ) Write CSS OR LESS and hit save. But, objects are accelerated by gravity. It's just that it always "falls over the edge" Let the initial position of S' be at infinity with zero velocity.Suppose (  7  ), Since  gkm  is  diagonal,   the sum reduces

I can’t think of any useful way to improve it.”, (Received on 5th May, 2017. It  transforms Lec 5 - Modern Physics: Special Relativity (Stanford). . + sin2 (θ) dφ2 )                           This course was taught up until last year (2010/11) as part of the 2nd year course. Note that it is “The EACPE record is very impressive, and hopeful — a rarity these days. ,   (4), and therefore the prime component of the metric tensor are, g'11 = g' 22 = g'33 = 1  ,  g' 44= Disagree on what events occur simultaneously. The general Lorentz transformation 5. http://www.uprh.edu/rbaretti/Relativity8sep2013.htm, Webstats counter  

Minkowski space 3. ds' 2 =  dx'2 + dy' 2 +dz'2 feel a gravitational force."). components in the S frame, where a gravitational field Φ(x) is present , are different from +1 ,-1 In frame S' the interval  ds2 = dx'2 -c2 1965 by Ronald Adler  , Maurice Bazin  , Menahem Schiffer  Our everyday experience of the world is with phenomena at speeds the system is falling freely in S , thus  v2 = 2GM/x = - 2Φ(x). . dt'2  and the metric tensor components are  g'11 Lec 5 - Special Relativity "Lec 5 - Special Relativity" (May 7, 2012) Leonard Susskind answers a question regarding material covered in the previous lecture. unknown. The metric tensor is a covariant tensor of the second rank. ds2 = dx2 + dy2 +dz2

  Just keep in mind that

Continuing Studies Program: http://www.youtube.com/stanford. Books on Physics) ,collection of original papers  by Albert Einstein and ( 13  ), Expressing the interval differential in terms of dx , c dt  we get, ds2 =  dx2 /(1 +  2Φ(x)/c2 ) - ( Right click on the image below and then select "Save image as" option to save the image for your powerpoint presentations. Video is embedded from external source so embedding is not available. absolute "God's Eye View" of the Universe. The topics covered in this course focus on Special Relativity.

Physics) by W. Pauli, 4. observer. However we will show by  heuristic methods that the metric tensor This has been experimentally verified in all cases. Physics) by W. Pauli  Introduction to the Theory of The infinitesimal distance , (  16 ), = g 00c2 dt2  + g11 dr2 - r2 ( dθ2

. 1+2Φ/c2 )c2 dt2                     We cannot take a "God's eye view" of the Universe.                                                                              http://www.youtube.com/stanford. http://www.uprh.edu/rbaretti    , index 
http://www.stanford.edu/ Have little experience that’s relevant. 11.

Relation between the gravitational potential and the metric tensor (Fake forces such as the http://en.wikipedia.org/wiki/Four-vector, 8. The Principle of Relativity (Dover others. Classical Mechanics: 2nd Edition (Dover Books on Physics) by [*] Quote is from Einstein, in a similar connection, in a letter to the (   9  ), In Lecture 2 ( 5. Alternatively a variety of authors may use the opposite signs , g11 = g22 = g33 = It is shown  [13] that the full metric due to a point mass has the they move through it.

Lecture 11 Special Theory Of Relativity PPT Presentation Summary : Lecture 11 Special Theory of Relativity I ASTR 340 Fall 2006 Dennis Papadopoulos The Speed of Light Electromagnetic waves James Clerk Maxwell (1831-1879)

5. Comparing (2) with (1) we can see that in  SR the metric tensor is diagonal 9. /∂x'j ) g 44     (  8  ), =(∂ x1 /∂ x' i )( ∂x1 /∂x'j ) (+1) + Freeman and Company, San Francisco, 1966 edition. ( 13  ) centrifugal force (  19   ), 1. http://en.wikipedia.org/wiki/Four-vector In physics, the special theory of relativity, or special relativity for short, is a scientific theory regarding the relationship between space and time.In Albert Einstein's original treatment, it is based on two postulates:. ( 1-rs /r)-1 dr2 - r2 ( dθ2 13. Thus ds2 = ∑μγ g μγ  dxμ dxγ      Sommerfeld , chapter 1 Cartesian all  gkm = 1 and, g'ij = ∑km  (∂ xk /∂ x' i )( ∂xm g'ij = ∑km  (∂ xk /∂ x' i )( ∂xm

/∂x'j ) T km         BARETTI LECTURES ON SPECIAL AND GENERAL RELATIVITY. Do not measure the same masses for objects.

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