The Special Theory of Relativity Read Chapter 2 of the hand-written notes 2.1 ∗Classical Relativity Consider an observer, named O, who measures the position of an object in his coordinate system as ~x = (x,y,z), at time t. A second observer, named O′, is in an inertial frame (no Certificates will not be issued for this course. There is no reference frame in which light can appear to be at rest. Part I: The Special Theory of Relativity Albert Einstein 8 relativity) we shall see that this "truth" is limited, and we shall consider the extent of its limitation. 1 Origins of Relativity When hearing the words \theory of relativity," most immediately think of the equation E= mc2, or Albert Einstein. 924 0 obj SPECIAL RELATIVITY Introduction. ��-�lƕ��o���j���7�"���)Ҕ;s��uS���=�~� �ʸ#v���}���G��m9e���a��AJ� %PDF-1.3 ������9Kb�pv��Iev���n���}�.N�'L��S�|�7������8pX��3���MX��.��y�mδ�y� ��FA�?ٓm�����Ys�FJ�BѺ�cD ����@^%뗥��}e����1�.nL0]9���J�;���C�/�p�W2Ö�Ѩnd�Cjî�>WA�+��\$���9��1�8('u�h|�E�� It is in this book that I first read about the superluminal speeds which are possible and are indeed result of STR. Course Description. SUMMARY OF THE PREDICTIONS OF THE THEORY OF SPECIAL RELATIVITY Time dilation Length contraction along the direction of motion Space and Time are relative Relativity of Simultaneity Velocities are relative, except for that of light, and add up in such a way that they never exceed the velocity of light. x��Y[S�F~�_�O�I�{��7B����6/�y��ڒ#�%����dI�d��a��͹~{.��?��'f>�{�G8V�"��?z�����8Ɠ���0Ô(ʌf������=����X��������(\�OS�h)���ÚOWxr��O���r�h���,�Q|����/S��E/�&�c��DJ�1D�"GF�%��En��Q9ߍu�q���*੘�D�y�1��m��Y|��a,q����#���3|�7�}%�h��!T�J)�k�d �R���\���B�SI�R�E%LA���W�L�Q���ֶ"�� �Jbd-�8`�p ��"�+�e���p %�쏢 z�1���D.����I��k5We3�l���G~�N�]�%8��v�o��x����&�8_��, 7+�x�l����8&��d8�c�b��l2�SGͷn���6���/|�Z�?Wq�F��3�r?�~Z� A��\$T�P����15�bp��0U����V.��8 �� ����z�C#�i�,ӹ��/ذ�Qܘ> Knuteson wishes to acknowledge that this course was originally designed and taught by Prof. Robert Jaffe. �����(����2�h/rX�6.W�­G������[h7q-x7����2�6 N�f8W��Ag��}����Հ���ea���!O��6�x�]�\$|᷁�"��12�FP��\$4�G0�]Kn�dC�+4��c���3'������~�M���W*�P�),E�9��H�3j�p�L�Ƅ8��xF���A���*wΪV����@c ��E�:@G���F�{SC�;�ѵ���3�J �~ #-��ő���(�[email protected]��[email protected]��B㕪z�� Later chapters cover the Lorentz transformations, the laws of kinematics and dynamics according to special relativity. %�N��n�|�[email protected]�1d��xK�/8pj�B�Tp�����&j���ՠ'Y9 ���v��d�\$����sE��u��\$����uGѐ���?Ƙ�%a�a����v����K���Lyè��J�N�e4'`T ��)��g�R�����Y�����8�+Rk�1����\$TFzaOS�'� C���0xP��9f(݈����8U�\΄���F�Va���)�<>�B��CJ&3�;2�3��]��n&�a���)V����k5�i�������M�Z7����XU(�L�s���M�x"�G7�#���޲�U;��N�u�q��\$zul�ܭ��a����E�i���p�"°Όu��\��h�C�\2����K ���vX�=>9)A�\$1{X�B����da����A �(��ZJ�^`����P1c�B�G���5�N;�\�@NY�\UM��"^�4���T_d��g�����yӄ��@N�06�������Y�t��I�����*#��j�FX��㗣�/Zr�je��@�h;��]���I��^'�j�waW��˺���{�5�+����U�. -z��p�����d���L�⍫�ɲD(��gK���΋���)�?��?z�ob9��1��خ�8������� �/���@�N��l���s_�Ӳ������9����� The special theory of relativity 1.1 Historical background 1905 is often described as Einstein’s annus mirabilis: a wonderful year in which he came up with three remarkable ideas. Ambr. Since some of the exposi­ These were the Brow-nian motion in ﬂuids, the photoelectric effect and the special theory of relativity. The Special Theory of Relativity is the theory credited to and detailed/proposed by Albert Einstein in his third 1905 paper titled \On the Electrodynamics of Moving Bodies". These were the Brow-nian motion in ﬂuids, the photoelectric effect and the special theory of relativity. the Special Theory of Relativity which is accessible to any stu­ dent who has had an introduction to general physics and some slight acquaintance with the calculus.