One other carrier of information might exist in the form of the faster than light tachyons. *** with naturally occurring interstellar debris increases dramatically with increasing speed, so it is not clear how well high speed spacecraft could survive prolonged interstellar voyages. Electromagnetic signals, or signals employing gravitational waves and neutrinos all travel at the speed of light. At that speed a message can reach the nearest stars in a matter of years, the center of our Galaxy in thirty thousand years, and the nearest galaxies in some millions of years. Two way conversations would have to be correspondingly slow. Just now electromagnetic waves may look like the best bet because we do not yet know how to receive or transmit gravitational waves, and the transmission and reception of neutrinos is discouragingly inefficient. But all that may change. One other carrier of information might exist in the form of the faster than light tachyons. Tachyons are hypothetical particles which may very well not exist at all. We just don't yet know. However, if they do exist, they would be priority choice for urgent messages. They could be transmitted at such high speeds that two-way conversation might be practical in some instances. Tachyons, if they can be generated, would take advantage of a loophole in the laws of relativity. Einstein's special theory states that no particles can be accelerated up to or beyond the speed of light. However, it does not state that particles can't be generated directly at these high velocities. Just as two colliding photons can give rise to a pair of particles such as an electron and a positron or a proton and an antiproton, both travelling at velocities well below the speed of light, so also we can imagine two photons colliding and giving rise to a pair of tachyons. We do not yet know how to detect these entities, but as long as we remain uncertain about their existence, we will be ignorant of what might well be the most promising channel for interstellar and intergalactic messages. *** We now turn to the language to be used. Two ideas have been widely discussed in this context. The first involves pictograms - simple pictures that might be easily understood. The second concerns artificial languages that are self explanatory. This second approach is particularly interesting. The most extensively developed language of this kind is Lincos developed by the mathematician Hans Freduenthal at the University of Utrecht. In essence, he starts out with a list of symbols representing one dot, two dots, three dots, .=1, ..=2, ...=3, and so on. He then lists examples of addition. Essentially 1 + 1 = 2 1 + 2 = 3 2 + 1 = 3 1 + 1 + 1 =3 and so on. This defines not only mathematical relations, but also the concept of equality that is a common part of our social thinking. Symbols like < and > are similarly defined by lists of numerical examples and eventually work their way into such concepts as greatness, prominence, and so on. In principle such a language can go on to physics, for instance, by listing the relative masses of all atoms and nuclei known to be stable. Every advanced civilization will know the values of these masses which bear a nearly – but not quite - integer relationship. And once the elements are defined a further listing can show elementary chemical reactions and structures including those that are fundamental to our existence - metabolic processes and genetic structure. Beyond this stage a message can become encyclopedic. For, it is really the fundamental structure of the language that is most difficult to establish. Once that is accomplished, more sophisticated concepts can readily be added in any quantity. The problem of constructing intelligible pictograms is somewhat different. Such pictures consist of light and dark squares arrayed very much like a television picture. There are mn elements - where m and n both are prime numbers. With this choice of prime numbers there are only two ways that a rectangular array - picture - can be obtained: a picture with n rows and m columns, or one with m rows and n columns. If m = n the picture is square and unique except for a left-to-right, up-down ambiguity. Proponents of pictograms often do include some elementary arithmetic and chemical concepts in their pictures, but they rapidly go on to show more sophisticated ideas, a picture of man or a sketch of the solar system. Whether such pictures are intuitively obvious is not really clear. Our own intuition is so *** The first reception of extraterrestrial messages no doubt will involve great difficulties and major technical advances. However, once this initial barrier is overcome a whole new social era could begin. *** strongly conditioned that such messages are likely to be quite fundamentally prejudiced to the extent of being incomprehensible to an alien civilization. Ultimately the pictograms should be subject to exactly the same need for logical development as any other language, and I imagine a properly designed interstellar message is likely to contain both a preliminary developmental chapter that defines the language, as well as a message that may be partly in the form of words, and partly illustrated by pictograms. *** The final question to be considered here is whom to address. Or whom to expect to transmit. If we believe that life can only exist on planets, then we might first transmit messages to the nearest known planetary systems or search for messages emanating from these nearest neighbors. Such messages might consist of individual symbols (letters, numbers) each transmitted for a period lasting anywhere from seconds to hours. On the other hand if, as Frank Drake has pointed out, some forms of life could exist on a neutron star where temperatures are far higher than on Earth, metabolic rates could be speeded up a million-fold. Such a civilization might then transmit messages at a rate of a million symbols a second. The problems of transmitting and receiving at these speeds would not necessarily be more difficult for us, but we would have to be aware of the great range of possibilities. Not only would we have to worry about the language to use, the contents to be transmitted and the means of transmitting, we even would have uncertainties about how "fast to talk." The first reception of extraterrestrial messages no doubt will involve great difficulties and major technical advances. However, once this initial barrier is overcome a whole new social era could begin. 58