The more things change the more they stay the same. For example, the seasonal change of planet Earth. Everyone took it for granted that after every winter there is a spring. But before every winter there was an autumn. On the other hand, from the perspective of a summer, after every summer there is an autumn. But before every summer there was a spring. Some plant things grow in the spring, while some plant things decay in the autumn. Nevertheless, at both poles there exist perpetual winters without any plant thing, while at the equator there exists perpetual summer of abundant plant things. True change comes if the Earth decided to spin in the opposite direction or its geomagnetism begins another reversal. Any change in spin or the direction of the magnetic field is equivalent to a change in topology.
For elementary particles, it is this change in topology that allows scientists to differentiate different kinds of elementary particles. The global property of this topology is known as the electric charge. For example, although the total mass of the electron can change depending on its state of motion, its rest mass is an apparent topological invariance. If the speed of the electron reaches lightspeed then the relativistic mass of the electron becomes infinite hence its total mass is infinite. The component of motion for an object with infinite mass is zero. That is the object is truly at rest. However, its electric charge is a true topological invariance. It is independent of the state of motion of the particle. These facts guided the design of both linear as well as circular particle accelerators at CERN and elsewhere. The discovery of positronium in 1951 by Martin Deutsch of MIT is an experimental proof that change in topology does occur for the production and destruction of elementary particles.


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