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Going nearly light speed — can you see your reflection? Lasers can’t be white!

Q: If you are traveling at the speed of light, and you hold up a mirror that is also traveling that fast will you be able to see yourself? Please give an explanation. (Riveesh, Glasgow, Scotland)

Albert Einstein, ca 1905 at the patent office in Berne, Switzerland.A: Nothing that has mass can move at the speed of light, but we can imagine an astronaut moving at nearly that fast.

Albert Einstein, ca 1905 at the patent office in Berne, Switzerland.

The astronaut, cruising through space at near light speeds, picks up her mirror, and takes a look. Yes. She sees herself.

The reason why is so simple that it took a genius to state it. In 1905, Albert Einstein formulated his Special Theory of Relativity, which results from just two postulates:

  • The speed of light in a vacuum is a constant.
  • The rules of physics have to work the same in all frames of references — moving or at rest — as long as the moving frames are not accelerating. Things have to work as usual.
  • Thus, our astronaut traveling at a relativistic speed can see herself in a mirror just as easily as an Earthling sitting at a make-up mirror. The rules of nature are the same for both situations. Light from the astronaut’s face bounces off her mirror and reflects back at light speed, even though she’s traveling at nearly the same speed. She can see herself.

    This, of course, disturbs our "common sense" and everyday experiences. We might expect that light moving ahead from the face of the astronaut, who is moving at near light speed, might move at nearly double light speed. But, Einstein says, No. Light always moves at the same constant speed in a vacuum.

    Admittedly, Einstein merely postulated that this be true. He, however, built his entire theory of relativity based on the two postulates. We have tested the resulting theory over the past century. Never have we found a discrepancy. It always works. So, probably his postulates are true, no matter what our "common sense" thinks.

    Further Reading:

    Conceptual framework of special relativity by Rod Nave, HyperPhysics

    Theory: special relativity by Helen Quinn, Stanford Linear Accelerator Center

    Special relativity by John Zavisa, How stuff works

    Q: White light contains all wavelengths. But, I understand a laser is created from just one wavelength. So, is it possible to create a White Laser? (Ray, Memphis, Tennessee)

    Laser light reflecting off mirrors.  Courtesy of the US Air Force and Wikipedia.A: Nope, for just the reason you mentioned. A laser must be coherent light whose waveforms march together in the same direction, in phase and all at the same frequency, which means having the same exact color. When two waveforms are in phase, that means that all their peaks and troughs line up. By definition, however, white light consists of all frequencies of visible light from infrared to ultraviolet. Furthermore, the waveforms of white-light’s constituent frequencies jumble together without a common direction or phase.

    Laser light reflecting off mirrors. Courtesy of the US Air Force and Wikipedia.

    By the way, white Light Emitting Diode (LED) light exists. A light emitting diode, however, emits light whose frequencies are clustered about a given color. But it’s not a laser. The emitted light is not a single frequency, nor coherent.

    My LED flashlight that produces white light does so using a blue (gallium nitride) LED, covered with a yellow phosphor. The chip emits the blue light; the yellow phosphor absorbs the narrow-spectrum blue light and re-emits a broad-spectrum The LED (magnified) used in a Pelican flashlight. The yellow rectangle in the center is the semiconductor material. No electricity is being applied to the LED, and so it emits no light now.  Courtesy of Keith Swenson, copyright, Pelican Products.light centered about yellow. Then, cleverly enough, the yellow light stimulates the red and green receptors in my eyes. So, with the residual blue, my brain receives a mix of blue, red and green — which gives white. I see a bluish white. But it isn’t a white laser, merely a white LED.

    The LED (magnified) used in a Pelican flashlight. The yellow rectangle in the center is the semiconductor material. No electricity is being applied to the LED, and so it emits no light now. Courtesy of Keith Swenson, copyright, Pelican Products.

    Further Reading:

    Lasers by Rod Nave, HyperPhysics

    Pelican LED flashlights — white light

    Lasers by April Holladay, Encarta

    Spectral colors by Rod Nave, HyperPhysics

    Lasers, Wikipedia

    (Answered Feb. 7, 2006)

     

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