General Principle of Relativity to solve The problem of Gravitation part – 1

I mostly Given importance to Special theory of relativity when i was studying these concepts. but its obvious we like simple things, confused ,yes i proclaim that General theory of relativity is not general as it states.

Einstein writes : If the reader has followed all our previous considerations, he will have no further difficulty in understanding the methods leading to the solution of the problem of gravitation. its because one needs previous theory and concepts which are as follows

  • The Equality of Inertial and Gravitational Mass as an Argument for the General
  • Postulate of Relativity.
  • The Relativity of Simultaneity.
  • Theorem of the Addition of Velocities.
  • On the Relativity of the Conception of Distance.
  • The Lorentz Transformation.
  • The Gravitational Field.
  • The Behavior of Measuring−Rods and Clocks in Motion.
  • Experience and the Special Theory of Relativity.
  • Minkowski’s Four−dimensional Space.
  • The General Theory of Relativity.
  • Special and General Principle of Relativity.

Let me start to explain the  Galileian relativity  :  The Fundamental law states that the laws of motion are the same in all inertial frames. We need an reference of point to measure anything in universe, Its sometimes impossible to do without the reference. one of the First things of relativity study mere research without actually knowing the importance was described in “Dialogue Concerning the Two Chief World Systems”.

He used this as the example himself given as travelling at constant velocity, without rocking, on a smooth sea; any observer doing experiments below the deck would not be able to tell whether the ship was moving or stationary.

If Two inertial frames say “A” having position coordinates r = (x, y, z) as its position co-ordinates.  and Time (t) . similarly A’. We can synchronize the clock in the two frames so that we can assume t = t’ . Suppose A’ is in relative uniform motion to A with velocity v. Consider a point object whose position is given by r’ (t) = r(t) in A.

capture

The velocity of the particle is given by the time derivative of the position. Another differentiation gives the acceleration in the two frames.

Italian scientist and scholar Galileo made pioneering observations that laid the foundation for modern physics and astronomy. Born on February 15, 1564, in Pisa, Italy, Galileo Galilei was a mathematics professor who made pioneering observations of nature with long-lasting implications for the study of physics. He also constructed a telescope and supported the Copernican theory, which supports a sun-centered solar system. Galileo was accused twice of heresy by the church for his beliefs, and wrote books on his ideas. He died in Arcetri, Italy, on January 8, 1642.

many more to write, will post in my next post.

© Akshay Kumar [2017]

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