Relativity Physics and Science Calculator - Michelson - Morley and The Luminiferous Aether Wind .
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The Luminiferous Aether Wind

"I maintain that the cosmic religious feeling is the strongest and noblest motive for scientific research" - Albert Einstein ( 1879 - 1955 )

§ Or, what is the nature of light and how does it comes to our eyes?

According to Isaac Newton ( 1642 - 1727 ) in his "Opticks"  ( 1704 ) light is transmitted at a finite speed by the "Luminiferous Aether Wind" which is the common or universal medium of propagation. This aether wind was further hypothesized as an absolute and stationary "frame of reference" for the measurement of time, especially as James Clerk Maxwell's ( 1831 - 1879 ) equations for electromagnetic radiation - including light - required it.  [ aether : Latin: the upper rarified air reaching into the heavens; Greek: to glow, to burn ]

The Luminiferous Aether was imagined by physicists since Isaac Newton as the invisible "vapor" or "gas aether" filling the universe and hence as the carrier of heat and light to our eyes, although we now understand by Maxwell's equations that these are both a unified electromagnetic phenomena.

Luminiferous Aether

Further, the "Corpuscular Theory of Light" promulgated by Isaac Newton set forth the idea that light is composed of small discreet particles or corpuscles. In this sense, the corpuscular theory of light resembles the modern photon quanta, but the theory failed under conditions of "light interference" and "diffraction" or the bending of light.

According to Maxwell's equations, light is a self - propagating electromagnetic transverse wave with electric and magnetic components where the oscillating electric and magnetic field components induce their respective opposites and vice-versa. These electric and magnetic components oscillate at right angles to each other and propagate perpendicularly to the direction in which they indefinitely travel unless absorbed by intervening matter. That is, each kind of field - electric and magnetic - generates the other in order to propagate the entire composite structure moving forward through empty space at the finite speed of light, c.

newton's law of inertia

transverse wave

Maxwell wrote in his "A Dynamical Theory of the Electromagnetic Field" ( 1864 ), pg. 499, part ( 97 ) [ note: pg. 41 of this pdf. ], the following:

"The agreement of the results seems to show that light and magnetism are affections of the same substance, and that light is an electromagnetic disturbance propagated through the field according to electromagnetic laws".

Light being a transverse wave therefore possesses a wavelength, frequency and velocity described simply as follows:

speed of light

Also,

refraction light index

where the light wave still maintains a constant frequency, ƒ. That is, only wavelength and speed of light change when light passes thru a boundary of different materials and hence light frequency, ƒ, is an "invariant quantity" in the universe, notwithstanding or discounting any frequency changes due to any "Doppler Effect":

Albert Michelson

This inverse relationship between light frequency, ƒ, and wavelength, λ, was also visually observed and eventually measured:

mach's principle of inertia

edward morley

As you can see the color violent has the shortest wavelength with the highest frequency while red has the longest of the visible light spectrum with an inverse lowest frequency as follows:

albert michelson

Finally, the Interference of light waves is the interaction of two or more light waves and producing a distinctly different light wave pattern such as

newton's law of universal gravity .

The type of light used in an interference experiment  will be where the ( two ) light waves are correlated or "coherent" with each other in terms of the same light source and/or the same wave frequency. The most useful light for the purpose of creating interference patterns is sodium light, a monochromatic light which is produced in a rather narrow bandwidth of wavelength. An interferometer instrument is used for the purpose of producing "constructive" and "destructive" interference wave patterns which depend on the relative wave phases, frequencies or wavelengths, and amplitudes of the interacting light waves.

addition of relativistic velocities

note: The red wave is moving left - to - right, the green wave is moving right - to - left. The resultant wave is black.

In the Michelson - Morley Experiment  ( 1887 ) a single source of Sodium light is split into two coherent beams of light which in turn are bounced off of reflecting mirrors and then re - combined on a viewing screen in order to observe the pattern effects, if any, of the Luminiferous Aether upon these two beams of light as Earth traverses its solar orbit.

§ The Michelson - Morley Experiment ( 1887 ) or does a luminiferous aether really exist?

If the Luminiferous Aether Theory is correct, then as the Earth passes ( 18 mi/sec or 30 km/sec ) in its solar orbit thru the hypothesized stationary aether and by the Galilean addition of velocities of the Earth plus any velocity of light ( already known to be about 186,300 mi/sec ) emanating from the Michelson - Morley interferometer instrument on the Earth, therefore either "constructive" or "destructive" interference fringes will be detected.

In other words, if the hypothesized luminiferous aether exists, then there will be "destructive" interference fringes as the Earth transits thru it and the luminiferous aether thereby inhibits the flow of interferometer source light; in other aligned directions of Earth's passage thru the aether and the interferometer instrument itself ( remember that interferometer can be rotated 360° in its mercury bath ), there should appear "constructive" interference fringes. Hence, pointing one arm of the Michelson - Morley interferometer in the direction of Earth's transit orbit should produce an interference fringe pattern amounting to 0.4 fringe width where the instrument was sensitive to 0.01 fringe width. And in this way, it should be able to detect either the Earth's velocity thru the stationary aether or from the perspective of the laboratory, the velocity of the aether wind itself should be detected across a stationary Michelson - Morley interferometer.

1887 albert michelson-edward morley experiment

§ The Michelson - Morley Interferometer:

1887 michelson-morley experiment

§ Physical Characteristics:

  1. the movable mirror is controlled by a precision micrometer which determines relative distance d ( d1 initial separation - d2 final mirror separation ) between the reflecting mirrors. the effect of moving the mirror is that of changing the length of one of the path ( or arm ) lengths;

  2. the compensator lens is of exactly of the same thickness as the beam splitter. This is necessary to guarantee equal lengths of light beam paths;

  3. the beam splitter is a half - silvered mirror;

  4. the source light is agitated sodium vapor gas producing monochromatic light in the 589 nanometer wavelength;

  5. the entire instrument rested on a 1.5 meter square block of sandstone which in turn rested on a huge block of marble, all of which then floated in a pool of mercury. the effect of this mounting foundation was to almost totally eliminate thermal and mechanical vibrational effects and therefore it was possible to rotate the instrument through an entire 360° with virtually no mechanical vibration;

  6. the precision of the instrument was effectively extended so that each light beam path had a length of 11 meters; thus, the effect of about 1/100th of an interference fringe would be detectable;

  7. the wave interferences are observed at the focal plane of a collimator lens.

§ Mathematics of the Michelson - Morley Interferometer:

interferometer mathematics

where

interferometer variables

§ How it was operated:

For each one (1) hour noon session on July 8, 9, and 11, 1887, Michelson and Morley carefully turned their interferometer thru 10° incremental rotations wherein they took calibrated readings every one-sixteenth of a 10° turn. Likewise, Michelson and Morley performed their interferometer experiment in the evenings of July 8, 9, and 12, 1887, for a total of six ( 6 ) hours.

§ What Michelson and Morley discovered:

Although Michelson and Morley had expected to measure different speeds of light ( anisotropies ) depending upon the orientation of the Earth in its orbital transit as well as for differing interferometer 10° rotations throughout a complete 360°, in fact their interferometer instrument produced no discernible interference fringes and therefore indicated no apparent motion of the Earth relative to the hypothesized luminiferous aether.


This was an incredible conclusion!


What this Michelson - Morley Experiment suggested was nothing less than revolutionary:

edward morley

§ However, why all this should be was still left to some other explanations:


Polish - born, Jewish American Albert Abraham Michelson together with Prof. Edward Morley, M.D. and Phd., American chemical scientist,  determined that c = 299,792,458 m/sec ( 186,265 miles per second ) is finite and that no aether [ ether ] exists for which Michelson became the first American in 1907 to receive a Nobel Prize in Physics. But this sort of discovery required a deeper mathematical physics than was presently available to them at the time.

§ You as the reader may now do one of the following:


§ References:

  1. theory of relativity  "On the Relative Motion of the Earth and the Luminiferous Ether", by Albert A. Michelson and Edward W. Morley, The American Journal of Science, Third Series, Vol. XXXIV, No. 203, November 1887, pgs. 333 - 345

  2. gottfried von leibnitz  "Recent Advances in Spectroscopy", by Albert A. Michelson, Nobel Lecture, December 12, 1907

  3. isaac newton  "Michelson–Morley analogue for electrons using trapped ions to test Lorentz symmetry", by T. Pruttivarasin, M. Ramm, S. G. Porsev, I. I. Tupitsyn, M. S. Safronova, M. A. Hohensee, H. Häffner, T. Pruttivarasin, H. Häffner - published: Nature 517, 592 - 595 ( 29 January 2015 ) doi:10.1038/nature14091. This is the most up-to-date, latest confirmation of the famous original 1887 Michelson - Morley Experiment and its fundamental basis in the isotropy of the speed of light in both the large cosmic scale as well as the quantum Planck scale of physical nature, all of which provided the experimental basis for the Lorentz Transformation Equations and without which Einstein's Special Relativity mathematics and science would not be possible!!

galileo galilei

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