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Notes on Relativity and Cosmology - Physics Department, UCSB

Notes on Relativity and Cosmology - Physics Department, UCSB

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50 CHAPTER 2. MAXWELL, E&M, AND THE ETHER<br />

If we want light from the straight star in fr<strong>on</strong>t of us to make it all the way<br />

down, we have to tilt the telescope. In other words, what we do see though the<br />

telescope is not the regi<strong>on</strong> of space straight in fr<strong>on</strong>t of the telescope opening,<br />

but a bit of space slightly to the right.<br />

Light Ray hits side instead of reaching bottom<br />

Telescope moves through ether<br />

Must tilt telescope to see star<br />

This phenomen<strong>on</strong> had been measured, using the fact that the earth first moves in<br />

<strong>on</strong>e directi<strong>on</strong> around the sun <strong>and</strong> then, six m<strong>on</strong>ths later, it moves in the opposite<br />

directi<strong>on</strong>. In fact, some<strong>on</strong>e else (Fizeau) had measured the effect again using<br />

telescopes filled with water. The light moves more slowly through water than<br />

through the air, so this should change the angle of aberrati<strong>on</strong> in a predictable<br />

way. While the details of the results were actually quite c<strong>on</strong>fusing, the fact that<br />

the effect occurred at all seemed to verify that the earth did move through the<br />

ether <strong>and</strong>, moreover, that the earth did not drag very much of the ether al<strong>on</strong>g<br />

with it.<br />

You might w<strong>on</strong>der how Fizeau could reach such a c<strong>on</strong>clusi<strong>on</strong>. After all, as<br />

you can see from the diagram below, there is also <strong>and</strong> effect if the ether is<br />

dragged al<strong>on</strong>g by the earth. In the regi<strong>on</strong> far from the earth where the ether is<br />

not being dragged, it still provides a ‘current’ that affects the path of the light.<br />

The point, however, is that the telescope <strong>on</strong> the Earth must now point at the<br />

place where the light ray enters the regi<strong>on</strong> of ether being dragged by the earth.<br />

Note that this point does not depend <strong>on</strong> whether the telescope is filled with air<br />

or with water! So, Fizeau’s observati<strong>on</strong> that filling the telescope with water<br />

increases the stellar aberrati<strong>on</strong> tells us that the ether is not str<strong>on</strong>gly dragged<br />

al<strong>on</strong>g by the earth.<br />

Ether here<br />

at rest wrt Earth<br />

Earth<br />

Out here, an ether ‘‘current’’ flows<br />

(as measured by Earth)

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