1.5-1.6 Special Relativity Flashcards

1
Q

What was light hypothesised to travel through?

A

The Aether medium

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2
Q

Why was light hypothesised to travel through a medium?

A

Classical waves e.g water and sound propagate through a medium, and their speed of propagation is set relative to the medium

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3
Q

Describe the M.M interferometer

A

Light gets split into a horizontal and vertical component

- Each ray is then reflected by a mirror and then interference is observed

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4
Q

What was the result from the MM interferometer?

A

A significantly null result

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5
Q

What was a consequence of the null result of the interferometer?

A
  • Error with the aether theory or wave theory

- Stokes suggested the aether was dragged along by the Earth

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6
Q

What is Lorentz’ force law?

A

F = q(E + v x B)

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7
Q

Why was Lorentz’ force law significant?

A

It connects mechanics with EM

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8
Q

What is the result of the d’Alembert operator operating on E and B when there are no sources?

A

0

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9
Q

What problem did Lorentz have with his Lorentz transformation?

A

It didn’t work with his force law

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10
Q

How did Einstein solve Lorentz’ problem?

A

He resolved LTs with mechanics and brought a new understanding of time
- Galilean and Newtonian mechanics were restricted to where v/c &laquo_space;1

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11
Q

Describe Minkowski’s space time

A

4 dimensional, coordinates (ct, x, y, z)

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12
Q

How are events described in space time?

A

As points

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13
Q

Why are spacetime coordinates so useful?

A
  • Can choose the origin of each axis
  • Also change the orientation of the spatial axis via a transformation
  • Change the spatial axis
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14
Q

What is a Lorentz Boost?

A

Applying a LT in the x and ct coordinates

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15
Q

When do we get a time like interval?

A

When ds^2 > 0

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16
Q

When do we get a space like interval?

A

When ds^2 < 0

17
Q

When do we get a light like interval?

A

When ds^2 = 0

18
Q

Why is ds^2 = 0 for a light like interval

A

As the separation between the events is connected by a light ray, cdt = dr