Further Contents of E = mc2

Let us look at the energy-momentum relations for massive and massless particles. They are E = p2/2m and E = cp respectively. As you know, it was Einstein who unified these relations with his special relativity.

Einstein lived in this house
(Bern, Switzerland) from 1903
to 1905. During this period, he formulated his special theory of relativity.

We can then construct the following Einstein/Wigner table.

Einstein's Genealogy

Massive/Slow between Massless/Fast
Energy
Momentum
E=p2/2m Einstein's
E=(m2 + p2)1/2
E=p
Spin, Gauge,
Helicity
S3
S1 S2
Wigner's
Little Group
S3
Gauge Trans.
Click here for a photo. Build
YOUR OWN HOUSE!

You are then invited to build your own house. How are you going to build your own house? With what? In order to build a house consistent with it neighborhood is to find a Lorentz-covariant entity which takes different forms for slow and fast particles.

See next page.




portrait by Bulent Atalay (1978)