Here is a piece I am calling: “The Dirac Sea”. It uses the infamous equation E=mc2 which was used earlier by another composer here. This piece was also inspired by Etlux's brilliant "Quarks"
“The Dirac sea is a theoretical model of the vacuum as an infinite sea of particles possessing negative energy. It was invented by the BritishphysicistPaul Dirac in 1930 to explain the anomalous negative-energy quantum states predicted by the Dirac equation for relativisticelectrons. The positron, the antimatter counterpart of the electron, was originally conceived of as a hole in the Dirac sea, well before its experimental discovery in 1932. Dirac, Einstein and others recognised that it is related to the 'metaphysical' aether:
... with the new theory of electrodynamics we are rather forced to have an aether. – P.A.M. Dirac, ‘Is There An Aether?,’ Nature, v.168, 1951, p.906.
The equation relating energy, mass and momentum in special relativity is:
E2 = p2c2 + m2c4,
In the special case of a particle at rest (ie p = 0, ) the above equation reduces to E2 = m2c4, which is usually quoted as the familiar E = mc2. However, this is a simplification because, while x * x = x2, we can also see that ( − x) * ( − x) = x2. ” (This is from Winkepedia)
Needless to say, I didn’t do the math. What I did do is use the masses of three particles (Tau Lepton, Muon, and Electron) that can be found in the Dirac Sea as the basis for a tonal sequence. And then I just ‘creatively’ constructed a piece using the motives derived from those masses. The Engergy (E) of the piece (The main motive) is equal to Musical tones (M) divided by the speed of light (186,000 fps – nope I didn’t square it because I didn’t like the tonal sequence it offered). Thus my Dirac see is not square and comes from the equation: E=MC or E=12/186,000 or 6.4516129032258064516129032258065e-5. I used the first 9 digits to select tones of the chromatic scale with 0 = the first tone.
The “DIRAC SEA” contains:
A The Dirac Sea
B Tau Lepton
A’ The Dirac Sea
A’’ The Dirac Sea
A’’’ The Dirac Sea
It’s in a quasi rondo form with the sea returning carrying references to each particle. The themes or motivs were created by using the atomic mass of each particle and generating a tone sequence from that number. All the rest was creative doodling!
Have a listen to:
Dirac Sea (esnips)
Dirac Sea (Soundclick)
Dirac Sea (Box)