special relativity

SPECIAL RELATIVITY Presented by: PRAVEEN MOHAN TSO (Electronics)

Relative Motion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Reference Frames ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Theories before Einstein ,[object Object],[object Object],[object Object],[object Object]

Theory before Einstein…… ,[object Object],[object Object],[object Object],[object Object],[object Object]

Words of Einstein (Thoughts…) ,[object Object],[object Object],[object Object],[object Object]

Thought Experiment ,[object Object]

[object Object],[object Object],(Cont.)

Can be intuitive... ,[object Object],[object Object],[object Object]

Same idea with light ,[object Object],[object Object],[object Object],[object Object],[object Object]

Theory of Relativity ,[object Object],[object Object],[object Object],[object Object],[object Object]

Theory of Relativity ,[object Object],[object Object],[object Object],[object Object]

Postulates of Special Relativity ,[object Object],[object Object],[object Object],[object Object],[object Object]

Consequences of the Special Theory Of Relativity

4-Vector and Lorentz Transformation ,[object Object]

( Cont. ) is the Position 4-vector Or  ’=  where

Simultaneity ,[object Object],[object Object],[object Object]

Light Clock ,[object Object],[object Object],[object Object]

Handy Light Clock Consider pulse of light bouncing between two mirrors (retroreflectors) d t o = d / c

[object Object],[object Object],[object Object],Now Observe Same Clock moving

Moving Light Clock ,[object Object],d ct vt

Time Dilation calculated ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],d ct d ct t o = t [1 - (v 2 / c 2 )] 1/2 The clock in the moving frame runs slower.

Length of 1 minute w.r.t. Speed of frame

Muon Experiment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

( Cont. ) ,[object Object],[object Object]

Length Contraction ,[object Object],[object Object],[object Object]

(Cont.) ,[object Object],[object Object],[object Object],[object Object]

Length of 1 meter w.r.t. Speed of frame

Fly by a House Location of objects

Fly by a House at a speed near the Speed of Light

Fly sideways by a house at a normal speed

Fly sideways by a house ( at 50% the speed of light )

Fly sideways by a house at 80% the speed of light

Fly sideways by a house at 90% the speed of light

Fly sideways by a house at 99.9% the speed of light

Length contraction should be of considerable interest to space voyagers. ,[object Object],[object Object],[object Object],[object Object],[object Object]

Twin Paradox I ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Twin Paradox II ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Twin Paradox III ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

So where’s the paradox? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Solution ,[object Object],[object Object],[object Object],[object Object]

Momentum and Mass ,[object Object],[object Object]

Mass and Energy ,[object Object],[object Object],[object Object],[object Object],[object Object]

(Cont.) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Mass and Energy (evidence) ,[object Object],[object Object],[object Object]

Correspondence Principle ,[object Object],[object Object],[object Object]

General Theory of Relativity Einstein's General Theory of Relativity paper.

Motivation for General Relativity: Einstein’s tower ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

( Cont. ) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

( Cont. ) ,[object Object],[object Object],[object Object],[object Object],[object Object]

Consequences of General Theory of Relativity

Gravitational Lensing Galaxies between the earth and a quasar can produce multiple images. From bending one can estimate the mass of galaxy

Thank You Presented By: PRAVEEN MOHAN Trainee Scientific Officer (Electronics)

special relativity

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special relativity