This post first appeared on Today in Alternate History.
In January, 1878, David
 E. Hughes was working on his improved Carbon Microphone, which was 
intended to surpass the scratchy voice quality of the microphone 
developed by Emile' Berliner in 1876 for the Bell Telephone.  Before 
long, Hughes discovered that by adjusting the size of the carbon rod in his prototype device, he can pick up a mysterious sound. Over
 several hours of painstaking adjustment, he finally zones in on the "The
 Signal." In truth, it closely resembles the Morse code sounds hear d
when a speaker is attached to a telegraph line: sequences of dots 
and dashes. For the first few seconds, he believes he is intercepting 
the telegraph communication being sent over the wires not far from his 
laboratory in London.
However,
 Hughes is familiar with the simple Morse Code, which covers the English 
alphabet plus the numerals zero to nine with code groups ranging from a 
single 'dit' "." or 'dah' "-" to a series of six ". . . . . ."  The 
signal Hughes detects is very different because every series adds up to 
exactly seven.
Hughes sets up a paper tape recorder to capture the message, which seems 
endless as dots and dashes. After listening to the signal for over an 
hour, it suddenly begins a new cycle starting with ". . . . . . ." 
immediately followed by "- - - - - - -". The third and fourth groups are
 ". . . . . . -" followed again by "- - - - - - -". The cycle repeats 
over and over with the first group being one binary number higher and 
the second group repeating the "- - - - - - -" until after 127 distinct 
groups the last set is "- - - - - - -" "- - - - - - -"
Hughes remembers a conversation with a mathematics professor about how 
telegraphy code could be perceived as a binary code system of counting, 
and the odd number groups at the start of this sequence seem to exactly 
follow his lecture.  The professor wrote on the chalk board  0=0, 1=1, 
10=2, 11=3, 100=4, 101=5, 110=6, 111=7, 1000=8 with the "." =0 and "-"=1
 in the telegraph code.  If the mysterious signal was a uniform code in 
binary, then it could be said to symbolize 128 different meanings 
starting with decimal and binary zero and ending with decimal 127 or 
binary 1111111 aka "- - - - - - -"
The Morse Code developed by Samuel Morse in 1835 only had 36 code groups
 covering the American standard alphabet plus numerals 0-9. The 
Continental Morse system added four additional emblems to add in the 
Umlaut vowels and CH sounds used by the Germanic languages, but it still 
only contained 40 emblems in total. The signal being received by the 
Hughes device has over three times as many emblems as the Continental 
Morse system in use in Europe. 
The only comparable code Hughes can think of is the Chinese Telegraph 
Code introduced just six years earlier. The Chinese code consisted of a 
list with 10,000 Chinese character symbols numbered 0001 to 9999. To 
transmit the symbols, the sender would list the symbol number, and the 
receiver would look up the sequence of number sets in the code book to 
translate from numbers back into traditional Chinese characters.
Not knowing any language that would use 128 distinct symbols, Hughes does
 the best thing he can think of: he publishes his discovery including 
detailed descriptions of his 'receiving mechanism' both via the media 
and through letters to experts in the fields of mathematics and 
telegraphy.
Soon the universities of Cambridge and Oxford have competing groups 
listening to the mysterious signal and attempting to decipher its 
meaning.  Initially the series of symbols is arbitrarily assigned values
 of 0-9 for the same numbers in binary code and the "- - - - - - -" 
symbol is assigned the value of a space with nothing in it to separate 
the other symbols. After a few weeks, however, the research teams 
including mathematicians reluctantly conclude that the signal dose not 
use a decimal number set but rather an octal or base eight set of 
numbers being 0-7. This is determined when a long series of number groups 
is deciphered and determined to start with 1, 2, 3, 5, 7, 11, 15, 21, 
23, 27 and finishing with 467. The list is 64 numbers long, and the Mathematics department soon determines that this is the list of the 
first 64 prime numbers counting in base 8, or Octal.  The accompanying 
text is presumed to give a description of what prime numbers are and how
 they are calculated.  Another passage is determined to be an array of 
addition, subtraction, multiplication, division, square root and cube 
root tables also arranged in sets of 64.  Once it is determined which 
symbols are numbers 0-7 and which symbols represent each type of common 
arithmetic operation, another section of the Signal is deciphered to 
cover the concepts of  Algebra, Calculus, Geometry, and Trigonometry,  which
 branches into quadratic functions, analytical geometry, differential 
calculus, and ultimately into concepts like the Butterfly Effect and 
Chaos Theory, all described in mathematical terminology with blocks of 
undecipherable accompanying text.
Every 21 hours and 23 minutes in the Signal, it restates the 0-127 symbol
 series as if to mark the beginning of a new information set. After 
several cycles of ever more complex and advanced mathematics, the 
information transitions into a new set of information. This time the 
sequence lists a set of numbers from zero to ninety-four (decimal) each 
combined with a number sequence and an undeciphered  symbol group. The 
first of the series is translated as 1 = 1.01, and the last of the list 
translates as 94 = 244.06. Fortunately, one of the undergraduates 
assisting on the project  soon realizes that the list is a set of 
chemical elements from 1, Hydrogen, to 94, an unknown element humanity 
has not yet discovered. The first number is the position on the table of
 proton masses in the nucleus, and the second number is the average mass 
of the same nucleus. By subtracting the first number from the second,
 chemists can determine how many neutrons a typical nucleus has. For 
some types of matter, like element 50, Tin, the number of neutrons in 
various isotopes is not a single stable result but actually a set of ten
 discrete isotopes.  The blocks of text that goes with each element on 
the "next page" of the Signal after the simplified list of 94 has a lot 
more to say about Tin with ten subsets of data one for each stable 
isotope than Hydrogen, element 1 and Helium, element 2, with just two 
stable isotopes each.  A few elements like Fluorine, element 9, only has
 a single stable isotope while Technetium, element 43, has no stable 
isotopes. The text for Technetium and the other unstable elements with 
83 or more protons has more than the average amount of text describing 
their most stable isotopes radioactive half lives described in units of 
time based on the length of the pause between code groups in the Signal 
or about 0.5 seconds.  This leads to additional information about how 
the producers of the Signal think about time.
Once each of 94 elements, a number of which have not been discovered yet
 by humanity, are all described in detail, the Signal shifts into 
chemistry. First, very simple chemistry like the formula for Carbon, 
Hydrogen, Oxygen, and Nitrogen molecules followed by Water (H2O), Carbon 
Dioxide (CO2), Ammonia (NH3), Methane (CH4) and Hydrogen Cyanide (HCN). 
From there, it grows more and more complex with acids 
(HNO3)~(HCl)~(HClO3)~(H2SO4) and bases (CaCO3), (Na2CO3). After organic 
chemistry comes metallurgy with metallic alloys of hundreds of formulas 
from simple carbon steel (98Fe2C) to highly complex alloy steels with 
(3U8W2V1C86Fe), aka Uranium Tungsten Vanadium Carbon Steel. It also 
includes alloys like Aluminum Bronze (1Al9Cu), which had been created and
 tested on a bench top batch level because chemist and metallurgists 
were a curious lot despite the fact that aluminum was worth its weight 
in gold, if not more.
Further on were chemical processes for refining alumina into aluminum 
and leaching urinate ore to separate out the uranium.  There were also 
chemical descriptions of many styles of battery, as well as descriptions
 of fuel cells, dynamos, and fully rectified AC generators producing DC 
current.  Electrolytic refining of copper, which had only been invented 
in Wales in 1869 less than a decade earlier, is discussed in chemical 
detail showing how the process can be improved and how the slime that 
results can be additionally refined to recover gold, silver, platinum,
and several other base metals depending on the particular copper ore 
used in the process. For the production of Technetium, Element 43, there
 is a complete, step-by-step set of instructions for building an 
electromagnet particle accelerator to bombard molybdenum in a vacuum 
chamber with hydrogen ions to transmute it into technetium for special 
corrosion resistant steel alloys.  Unfortunately, the text for many of 
these methods of working on metallic refining are completely 
indecipherable even though the chemistry and mathematics behind the 
processes is clear enough once it is translated from the original 
symbology to conventional mathematics and chemistry language.
The simple fact is that even with multiple university teams working on 
the translation of the information provided by the Signal, which has soon
 passed around to world to every university capable to generating the 
small amount of electricity needed to power the Hughes receiver, constantly shifts to a different subject area every 21 hours 
and 23 minutes. Mathematics, Chemistry, Electromagnetism, Metallurgy, 
Astrophysics, Electronics...  The problem is, while a great many things 
can be learned or compared to existing knowledge in the topics that 
include a lot of mathematics or chemistry because those areas are most 
easily translated, other things prove to be completely opaque pages and 
pages of written text without a single mathematical or chemical equation
 taking place anywhere. Without translation, it could be deep philosophy,
 poetry, or pornography, because nobody really understands it, at least in
 those first few months. Wealthy sponsors and companies are more than 
willing to fund translations of new techniques of refining, developing 
processes for new materials and so on because they believe the results 
will be highly profitable.  However, the lack of understanding leads to 
some quirks like metallurgists knowing that Technetium is a valuable 
alloy agent for steel and that it can be made by bombarding molybdenum 
with hydrogen ions of a certain range of energies without understanding 
that ion-bombardment technetium is normally produced for medical 
diagnostic testing while technetium for alloy purposes is generally 
refined from nuclear fission products as a value-added commodity 
resulting from fission energy production.  The ion-bombardment technetium is expensive but worthwhile for medical testing. On the other
 hand, the metallurgical technetium is a byproduct of an already 
profitable completely separate method of production, which makes it 
nearly free to the producer. However, fission-product Technetium is not 
useful for medical testing.
By the end of the year, a new series of pages are deciphered showing the 
mathematical underpinning of electronic manipulation of the 
electromagnetic spectrum.   The basis of the knowledge starts with the 
fact that all electromagnetic waves are the same kind of photons as 
visible light, just shifted to other frequencies. The very highest 
frequencies are photons of such energy that they can penetrate the earth as 
Cosmic rays and pass right out the atmosphere on the opposite side and 
travel on into space for incalculable distances. Then are the Gamma rays
 that can pass through thick pieces of metal and expose film on the 
other side or pass through food to completely sterilize it as a form of 
preservation. Next come the X-ray frequencies that can pass through 
flesh but not bone, allowing exposed film to show damage to a person's 
skeleton or locate bullets without exploratory surgery.  Then is the 
Ultraviolet spectrum that feeds plants energy from sunlight to make 
glucose molecules and power all their cellular energy needs. Finally, the
 relatively narrow band where all the colors of the Visible spectrum fit
 before trailing off into Infra-red.  Below the lowest Infra-red are the Microwave and ever longer Radio wave frequencies. Mathematical 
descriptions of microwave radar frequencies and communication radio 
frequencies along with many other useful technical ideas appear in this 
section starting with piezoelectric crystal radio diagrams, flame diode 
and triode amplification, vacuum tube diode and triode diagrams, rare 
earth diode and triode designs, semiconductor amplifier board designs, 
analog computers, digital computers, semiconductor chips on smaller and
 smaller tolerance chip designs. 
At that point, one of the teams of linguists has a breakthrough. All 
along, the diagrams with math or chemistry applications have been 
understood to some degree. Now it has been determined that each change 
in topic begins with the same two words followed by a word presumed to 
be the title of the topic being transmitted. The Linguists have decided 
that the first two words in each title are "History Of" and the third 
word is the topical name. The Mathematics topic starts "History Of 
Numbers" and starts with counting out the same zero to seven emblems in 
order from zero to two hundred in Octal base, then moves into addition 
and subtraction, then multiplication and division, then squares and 
square roots, cubes and cube roots, Algebraic manipulations, 
Trigonometric operations, basic quadratic coordinate systems, polar 
coordinates, matrix algebra, calculus, differential calculus, tensor 
calculus and on and on until you get chaos theory of number sets and the
 butterfly effect.  The mathematicians of the universities are often not
 as advanced as the final few pages of the "History of Numbers" gets to 
eventually.
The "History of Elements"  starts with a list of the 94 discrete 
chemical elements and their properties and then goes into great details 
on chemistry both organic and inorganic of how these discrete elements 
combine in various forms to make molecules, starting with the very simple
 O2 and N2 and Ar molecules of the atmosphere and continuing on through 
the structures of 23 distinct amino acids and some larger protein 
molecules that incorporate those amino acids.  The organic chemistry 
portion of the signal starts with the very simplest hydrocarbon, Methane
 (CH4), and goes up to the very complex hydrocarbons that incorporate 
benzine rings, aromatic chains and incredibly complex fatty acids like 
Arachidonic Acid that has a twisted 20 carbon long chain and and Alkane 
molecules with up to 70 carbon atoms that mostly come from sources like 
coal tar or asphalt seeps like the La'Brea  tar pits in California or 
the Asphalt Lake in Trinidad.   The most complex molecules shown are a 
double helix molecule of Threose nucleic acid.
The inorganic chemistry section gives a history of metals, ores including
 methods for reducing tin and copper ores to their metallic forms then 
mixing them to produce primitive bronze. The copper section goes on 
through a long list of copper alloys completing with various aluminum 
bronzes, many of which include additional alloy agents.  The iron section
 starts with reducing bog iron to wrought iron through forge working the
 ore all the way to multiple alloy elements in uranium tungsten vanadium
 tool steel. This section goes into detail on where to find every one of
 the 94 elements in natural minerals except for the special list for 
products of fission reactions. It also includes many very useful 
technologies like thorium mantle lanterns. These put out a bright white 
light source from burning a fuel where thorium in a fine mesh 
arrangement around the flame promotes complete high temperature 
combustion.  The final part of the inorganic chemistry portion details 
how to combine fissile and fertile element salts with beryllium salts to
 form a critical mass generating very intense heat and fission products.
That description leads into electromagnetic effects, of "The History of 
Electronics". The electromagnetic spectrum and electronics for 
manipulating the photons of each energy range to do something useful 
like transmit information wirelessly, build centimeteric  then millimetric radar to spot other ships when weather reduces visibility 
for visible light observation and weather radar to track storm patterns.
 Of course, until the translators manage to build the first generation 
diode and triode devices to rectify and amplify each effect, the text has
 little impact on 19th century life.
"The History Of Machines" starts with wind power from sails describing 
square, lanteen, sprit, gaff, and lug sail arrangements and variations. 
Next are shapes and designs for oars covering blade shapes, balance 
points and even reversing rig systems so a person rowing a small boat is
 facing the same direction the oars are pushing the craft instead of 
facing the opposite direction and needing to constantly turn to confirm 
the boat is aimed correctly.
Also included are the concepts of leverage, center of balance/gravity, 
and mechanical advantage in the form of single pulley, block and tackle 
pulley systems, and inclined plane vs deadlift energy requirements for 
moving mass around. The final part of the block and tackle lift section 
included automatic arrestor gear for elevators where, so long as the main
 cable is supporting the weight of the elevator box, the brake clamps are
 held open, but, if the cable goes completely slack, the brakes clamp 
closed. This is also described as an air pressure system for railroad 
and vehicle brakes where pressurized air holds the brakes open, but 
pressing a pedal or opening a relief valve lets the pressure escape,
clamping the spring loaded brakes closed.  These developments are both 
recognized by engineers as operationally similar to the Otis Safety 
elevator patented in 1853 and the Westinghouse Air Brakes developed in 
1867 for locomotives.
From there, the text moves on the windmills using sailcloth blades and 
water mills using undershot and overshot water pressure to turn paddle 
wheels. As part of this portion, also discussed are fish wheels for 
harvesting smelt or salmon migrating to breed with carefully designed 
net bladed wheels that scoop up the fish and dump them into a live 
holding area or directly into a cleaning area. It describes both wind and water 
mills using belt and shaft systems to provide power to machine tools 
like drills, drop hammers, bellows for forging work, sanders, planing 
tables,  and even precision lathes.  Of course, this leads inevitably 
into detail description in how each machine tool is constructed and 
calibrated. After the wind and water wheel systems comes water turbines 
that operate using water flowing down to a much lower level to generate 
electricity or turn the shaft and belt system with greater efficiency.  
Also in this section is the combination commonly called a Trompe air 
compressor. Trompe's uses water-entrained air to fill a deep cavern or 
mined space with high pressure air that can operate a wide range of hand-held machine tools powered by turbines turned by escaping pressurized 
air.
The next step in machinery is steam pressure and starts with very simple
 crude steam pumping systems, then low pressure cylinder steam engines 
that develop into double-acting and uniflow steam cylinder systems, 
steam turbine systems, and finally flame augmented steam turbine systems.
 These last system uses a separate pipe feeding into the steam turbine 
that injects a mixture of pressurized air and fuel that is ignited right
 before leaving the injection pipe. This additional energy source 
reduces the demand for steam and prevents the steam in the first stage 
of the turbine from cooling and condensing at all before it exits all 
the way through the low pressure turbine. In the most complex designs,
the flame injection also takes place in the intermediate pressure 
turbine stages.  This leads to a detailed explanation of Bernoulli's 
principal of pressure changes leading to temperature changes and vice 
verse'.  Using cold, dense Trompe pressurized air and a gaseous fuel like natural gas or vaporized gasoline adds a considerable efficiency to the
 steam turbine in the last description.
After the finish of the steam power section comes the internal and external combustion engines. Internal engines use several methods 
including hot oil engines that compress air and spray oil on a hot 
surface, raising its temperature to the ignition point, Diesel engine 
designs using much higher compression, and the Bernoulli principal to 
heat the air to incandescent temperatures and ignite oil injected into 
the compressed gasses and the spark ignitions systems that compress 
flammable gasses or vapors like town gas or gasoline vapor with air and 
then ignite the mixture with a spark plug. 
The external combustion engines direct readers back to steam engines for
 boiler-based systems and for closed systems gives detailed descriptions
 of how a Stirling engine system works.  Naturally Stirling had patented
 his engine in 1816, so engineers recognized it immediately just as they 
had recognized the Watt steam engine and Knight impulse water wheel as a
 step in the process of increasing mechanical capabilities.  While an 
undershot water wheel might by 10-20 percent efficient at capturing the 
energy of a stream and an Overshot wheel 30-40 percent efficient, the 
Knight impulse water wheel was 75 percent efficient, and the next more 
advanced design from the Signal data stream was 90 percent efficient. 
In the same fashion, the Stirling engines in the text start out as low 
efficiency with heavy material weights and fixed location or low 
mobility and go through a series of evolutionary changes as the 
materials used in construction and tweaking the design parameters 
increase efficiency step by step ending with a design that is light 
weight and highly efficient, but which materials are needed for 
construction are not yet available.
 One
 version of the Stirling engine described is for remote deployment and 
uses a radioisotope thermal heat source. The same radioisotope is also 
described in another section as element 94, mass 238, as a heat source for
 a bimetallic thermal generator using the Seebeck Effect discovered by 
John Seebeck in 1821. Seebeck discovered that certain combinations of 
metals would, if heated on one end and cold on the other, produce a small 
electrical potential that could be tapped as electric current. By 
placing a radioactive thermal source in the middle and deploying the 
Seebeck metals as vanes around the heat source, a temperature 
differential was created that generated electricity.  Using that heat 
alternatively to power a Stirling engine was a more efficient was of 
producing current at least in theory.  However, the Seebeck effect 
required no moving parts, so it was extraordinarily reliable in working 
as expected whereas the Stirling engine would require periodic maintenance
 or repairs.
One
 version of the Stirling engine described is for remote deployment and 
uses a radioisotope thermal heat source. The same radioisotope is also 
described in another section as element 94, mass 238, as a heat source for
 a bimetallic thermal generator using the Seebeck Effect discovered by 
John Seebeck in 1821. Seebeck discovered that certain combinations of 
metals would, if heated on one end and cold on the other, produce a small 
electrical potential that could be tapped as electric current. By 
placing a radioactive thermal source in the middle and deploying the 
Seebeck metals as vanes around the heat source, a temperature 
differential was created that generated electricity.  Using that heat 
alternatively to power a Stirling engine was a more efficient was of 
producing current at least in theory.  However, the Seebeck effect 
required no moving parts, so it was extraordinarily reliable in working 
as expected whereas the Stirling engine would require periodic maintenance
 or repairs.
Next came the section on "The History of Trapped Supernova Energy". This
 section started out with a description of astronomy and astrophysics 
describing how, based upon the temperature and diameter of a star, what 
frequencies and densities of electromagnetic effects could be calculated
 for each distance. It used the Sol system for an example giving the 
age, size, and composition of the star for a complete description of how its
 thermonuclear fusion process worked at converting four ionized hydrogen
 protons into a Helium 3 or Helium 4 nucleus depending on which pathway 
was followed at key stages of the process. It also revealed how much 
energy was generated by each step and how this in turn caused the 
sunlight to be in a very broad spectrum of frequencies in the 
electromagnetic spectrum. From there, it went into describe how the 
energy of those emissions was absorbed by bodies like planets, asteroids,
 and dwarf planets or planetoids at various distances. This data covered 
everything down to and including the 3:2 orbital resonance of Mercury, 
the superheated dense atmosphere of Venus and its retrograde rotation, 
the concept of the "Goldilocks Zone" where liquid water would be common 
on planets of certain distances from this energy level star depending on
 factors like how thick the atmosphere was, what greenhouse gasses were 
present and so on.  Next it described the planetoid Ceres and discussed 
how it differed from smaller asteroidal bodies, how Jupiter swept many 
dangerous small bodies up with its gravity field reducing the risk of 
Earth collisions by such bodies and how the gas giants Jupiter and 
Saturn were fundamentally different from Neptune and Uranus. It then 
went on to describe objects in the Kuiper belt where solids were often 
the same molecules that served as gasses and liquids in the inner solar 
system.   From there, it branched into the mathematics of stellar evolution and
 how stars much bigger or smaller than the Sun would evolve differently.
 Finally, it described stars that were so massive that they exploded in 
tremendous supernovae and left behind as their ashes all the elements 
heavier than iron including the Actinides. The Actinides were then 
described as element capable of being fissioned to release more stored 
energy than initiating the fission required. In essence, they had 
captured tiny bits of the tremendous energy released by their parent 
supernova in the arrangement of their nucleus cores and fission released
 some of that energy where it could be used for useful work.  This was 
followed by descriptions of nuclear fission devices from the most 
primitive natural uranium reactors to the most advance liquid salt and 
liquid metal based breeder reactors that would consume any actinide and 
return fission products like technetium or neodymnium, useful for 
industry, and higher actinides like Plutonium 238 for radiothermal 
sources to supply energy to remote or isolated locations.  Oddly enough ,
nuclear fission explosives were neither described in detail nor much 
remarked on, other than in the sense that if too much fast fissionable 
material was allowed to accumulate in a small enough volume, the 
resulting pulse of energy would release deadly levels of energy and more
 or less vaporize your expensive material dispersing it.