The Electromagnetic Spectrum

What do light, radio waves, and x-rays have in common? Everything! They are all electromagnetic radiation which differ only in their frequency, wavelength, and energy. All electromagnetic radiation travels at the speed of light, which in a vacuum is 186,282 miles per second or almost 671 million mph.

There are no distinct boundaries between different regions of the electromagnetic spectrum. The spectrum can, however, be conveniently divided into the following seven general categories (in order of decreasing energy and increasing wavelength): gamma rays, x-rays, ultraviolet, visible, infrared, microwave, and radio.

Depending on how it is observed, all electromagnetic radiation has a dual nature, capable of behaving either as a wave or as a particle. We call these particles photons. The highest energy photons are gamma ray photons, and the lowest energy photons are radio wave photons.

The highest-energy, shortest-wavelength electromagnetic radiation (gamma rays and x-rays) usually behaves like a particle rather than a wave in experiments, whereas the lowest-energy, longest-wavelength electromagnetic radiation (radio waves) usually behaves like a wave in experiments.

Is there a limit to how far the electromagnetic spectrum extends? On the high energy end, we think so. On the low energy end, not really. Let’s explore both extremes.

Gamma rays are produced by the most energetic processes in the universe. The highest energy gamma rays yet detected are 2.5 PeV (2.5 peta-electronvolts or 2.5 × 1015 eV). The theoretical limit to the energy of a gamma ray is the Planck energy, 12.2 ReV (12.2 ronna-electronvolts or 1.22 × 1028 eV). Any gamma ray having this much energy would have a wavelength of a Planck length (1.6 × 10-35 meter). At this wavelength, standard quantum physics breaks down and the gamma ray photon would concentrate so much energy into so small a space that it would likely collapse into a microscopic black hole, ending its existence as radiation.

There is another, much lower energy limitation, however. At gamma ray photon energies around 0.1 to 100 PeV (1014 – 1017 eV), the universe becomes almost completely opaque over large distances. A gamma-ray photon at this extreme energy will travel only a short distance before colliding with a photon from the pervasive cosmic microwave background. This collision converts the original photon into an ultra-relativistic electron-positron pair. As these new particles hurtle through space, they smash into additional background photons via inverse Compton scattering, boosting them into high-energy gamma rays. This triggers an energy-diluting electromagnetic cascade: photons create particle pairs, and particle pairs produce new photons. The chain reaction repeats until the individual photon energies drop below the threshold required for pair production. The end result: the original high-energy gamma ray photon never reaches your detector.

Now, let’s talk about the opposite end of the spectrum, the radio waves. What do we know about the least energetic of photons? To put things in perspective, you may be interested to know that national and international standards have been established for the orderly use of the radio spectrum down to a frequency of 3 kHz (3000 Hz), although the military is using 40 – 80 Hz radio waves for global submarine communications, and every electrical wire in your house is generating low levels of 60 Hz radio waves due to alternating current flipping back and forth 120 times each second.

Below 40 Hz exists a strange realm indeed. The Earth and its atmosphere act like a giant, natural radio transmitter. Lightning storms continuously bombard the upper atmosphere and trigger extremely low frequency radio waves (known as Schumann resonances) that ring around the globe at roughly 7.5 Hz.

To generate radio waves with even lower frequencies than 7.5 Hz, the scale of the “antenna” must grow to planetary proportions. In nature, this occurs when exceptionally energetic lightning events or the shockwaves from large meteors dump enormous energy into the atmosphere, creating radio waves with frequencies of 3 Hz or lower. The immense mechanical stress of shifting fault lines before an earthquake can turn miles of quartz-rich bedrock into a colossal subterranean transmitter, broadcasting seismic radio pulses down to a fraction of a hertz via the piezoelectric effect. Humans can replicate this feat artificially, but the physical constraints are staggering. For example, a 1 Hz wave has a wavelength of nearly 300,000 kilometers. Efficient transmission requires an antenna of comparable size.

There is no theoretical lower limit to a radio wave’s frequency. Any accelerating electrical charge can produce one, and if the system that produces it is large enough, natural processes can generate radio waves with frequencies as low as a nanohertz (a billionth of a Hz), or even lower, resulting in wavelengths measured in light-years.

We can only study these ultra low frequency radio waves which are of a cosmic origin from space because the Earth’s ionosphere reflects away everything below about 5 MHz. But we’ll have to travel far from the Sun if we wish to listen to cosmic radio frequencies below about 20 kHz because the solar wind acts as a reflective shield. Only by traveling beyond the heliopause and into interstellar space will we escape the Sun’s plasma shield, though the ambient interstellar medium itself will still block frequencies below 2 kHz. In order to listen to the cosmic din and chatter at sub-Hertzian frequencies, you’d have to find a completely empty intergalactic void entirely cleared of plasma.



Here are the wavelength ranges of our currently operating general purpose space telescopes (1 Å = 1 angstrom = 0.1 nm = 0.1 nanometer = 10-10 m).

Fermi Gamma-ray Space Telescope
0.000000041 → 1.55 Å

Chandra X-Ray Observatory
1.20 → 120 Å

Hubble Space Telescope                         Visible Spectrum
1150 → 17,000 Å                                           3800 → 7500 Å          (blue → red)

James Webb Space Telescope
6000 → 283000 Å

There are currently no active general purpose space telescopes operating in the 120 Å to 1150 Å range (between Chandra and Hubble). This is known as Extreme Ultraviolet (EUV), the transition zone between the ultraviolet and x-ray parts of the electromagnetic spectrum. However, space telescopes that observe the Sun do observe in the EUV region.

Because neutral hydrogen in the interstellar medium is highly efficient at absorbing EUV radiation, galactic and extragalactic objects are difficult or impossible to observe at these wavelengths, especially between 400 Å and 912 Å.

There are currently no general purpose space telescopes observing at wavelengths longer than 283000 Å (James Webb), in the far-infrared and radio part of the spectrum.

To detect far-infrared and submillimeter (shortest-wavelength radio) radiation requires a space telescope to be cooled to nearly absolute zero. This is challenging but not impossible.

The Earth’s atmosphere is adequately transparent to most radio waves, so observing this part of the electromagnetic spectrum from the Earth’s surface is easier and cheaper than building a radio space telescope. However, the far side of the Moon would be an even better location to observe almost the entire radio spectrum (except for the short-wavelength submillimeter radiation which requires extreme cooling as mentioned above), both because the Moon lacks an atmosphere but also because terrestrial radio interference would be completely blocked.

The Beginning

We continue our series of excerpts (and discussion) from the outstanding survey paper by George F. R. Ellis, Issues in the Philosophy of Cosmology.

Thesis D1: An initial singularity may or may not have occurred.
A start to the universe may have occurred a finite time ago, but a variety of alternatives are conceivable: eternal universes, or universes where time as we know it came into existence in one or another way.  We do not know which actually happened, although quantum gravity ideas suggest a singularity might be avoided.

If we imagine, for a moment, running the clock of the universe backwards to earlier and earlier times, its size gets smaller and its density gets larger until we reach a moment—even earlier than the putative inflationary era—when classical physics at the macroscopic level no longer applies and some (as yet unknown) quantum physics must apply to everything—even gravity.  Therein lies the problem, because if you run the clock backwards just 5.39 x 10-44 second from this time, you reach the purported moment of the Big Bang—the initial singularity.  But whoa (or perhaps woe)!  How can we say anything about the Big Bang—or even if it occurred at all—since the laws of known physics completely break down 5.39 x 10-44 second (the Planck time) after the Big Bang!  See the problem?

Perhaps the universe came into existence through a process analogous to radioactive decay where an alpha particle leaves a nucleus through quantum tunneling.  Perhaps our universe “tunneled” into existence from somewhere else, and thus our beginning isn’t really the beginning.  This is just one of many possibilities.

This is a key issue in terms of the nature of the universe: a space-time singularity is a dramatic affair, where the universe (space, time, matter) has a beginning and all of physics breaks down and so the ability to understand what happens on a scientific basis comes to an end. However eternal existence is also problematic, leading for instance to the idea of Poincaré’s eternal return: everything that ever happened will recur an infinite number of times in the future and has already occurred an infinite number of times in the past.  This is typical of the problems associated with the idea of infinity.  It is not clear in the end which is philosophically preferable: a singularity or eternal existence.  That decision will depend on what criteria of desirability one uses.

While infinity is a highly useful mathematical device, one can make a strong argument that infinities do not exist in the physical universe (or even multiverse).  Quantum physics already gives us a possible clue about the infinitely small: we appear not to be able to subdivide space or time any further than the Planck length (1.616 x 10-35 meter) or the Planck time (5.39 x 10-44 second).  We would not be able to distinguish between two points less than a Planck length apart, nor two moments in time less than a Planck time apart.  While harder to envision, might not there also be an upper limit to size?  And time?

Thesis D2: Testable physics cannot explain the initial state and hence specific nature of the universe.
A choice between different contingent possibilities has somehow occurred; the fundamental issue is what underlies this choice.  Why does the universe have one specific form rather than another, when other forms consistent with physical laws seem perfectly possible?  The reasons underlying the choice between different contingent possibilities for the universe (why one occurred rather than another) cannot be explored scientifically.  It is an issue to be examined through philosophy or metaphysics.

Metaphysics is the part of philosophy that deals with existence, space, time, cause and effect, and the like.  Metaphysics begins where physics necessarily ends due to observational limitations.

Did anything exist before the Big Bang?

Was there a Big Bang?

What are the physical properties of the very early universe, when energy densities existed that are far beyond our ability to recreate in the laboratory?

What lies beyond our particle horizon?

Are there other universes?

Why does anything exist at all?

References
Ellis, G. F. R. 2006, Issues in the Philosophy of Cosmology, Philosophy of Physics (Handbook of the Philosophy of Science), Ed. J. Butterfield and J. Earman (Elsevier, 2006), 1183-1285.
[http://arxiv.org/abs/astro-ph/0602280]

Liddle, A.R. 2015, An Introduction to Modern Cosmology, 3rd ed., Wiley, ISBN: 978-1-118-50214-3.