By Arnold Sommerfeld
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Extra resources for Atomic structure and spectral lines
The profusion of what were thought to be elementary particles in 1960 resulted from the fact that there are many ways to combine three quarks to produce members of the proton family or a quark and an antiquark to create a meson. The fast elementary particle reactions were the result of the rearrangement of the quarks within the particle, while the slow reactions resulted when the weak interaction changed one kind of quark into another. A peculiar feature of the quark model is that quarks have a fractional charge.
The theory is not renormalizable, you cannot get rid of the infinities. As in the case of the electric interaction the simple calculations work well, and that is why we think we know a lot about the graviton. But when you try to make what should be tiny relativistic corrections, the correction turns out to be infinite. No mathematical slight of hand has gotten rid of the infinities. The failure to construct a consistent quantum theory of gravity interacting with point particles has suggested to some theoretical physicists that our picture of the electron and some other particles being point particles is wrong.
From the it’s too dull point of view, distance is measured by meter sticks, and there are relationships like the Pythagorean theorem and various geometric and trigonometric rules already familiar to the reader. Time appears to be less challenging—it is measured by clocks and seems to march inexorably forward. On the too esoteric side are the theories like Einstein’s General Theory of Relativity which treats gravity as a distortion of space and time, the Feynman-Wheeler picture of antimatter as being matter traveling backward in time, and recent “super symmetry” theories which assume a ten dimensional space.