The Riddle Of Spin Statistics Theorem – Basudev Mishra
ON SPIN STATISTICS THEOREM:-
A friend wanted to understand ‘Bose -Einstein statistics’ in a simpler format. This is my reply to him.
‘Bose -Einstein statistics’ follows from something called the Spin-Statistics Theorem. It requires relativity, to derive the Spin-Statistics Theorem. There are lots of attempts to justify the result without relativity, but they do not work in the mathematical formalism. As I have repeatedly written citing Prashastapaada, relativity is a wrong description of reality and there is much misunderstanding about the nature of bosons and fermions. One can Google “Anti-Relativity” and find huge support for my above statement.
It is said that exchanging the position of two fermions will change the sign of the wave function, while the wave function for bosons will remain the same. Why does this happen and what does spin has to do with it? No one understands. Some say Bosons’ are particles whose wavefunction is symmetric under such an exchange or permutation, so if we swap the particles, the wavefunction does not change. Fermions are particles whose wavefunction is antisymmetric, so under such a swap the wavefunction gets a minus sign, meaning that the amplitude for two identical fermions to occupy the same state must be zero. This is the Pauli Exclusion Principle: two identical fermions cannot occupy the same state. This rule does not hold for bosons. Too confusing.
Others say, Bosons’ wavefunctions do not change sign when you rotate them 360 degrees, while fermions’ wavefunctions do change sign when you rotate them 360 degrees. What happens if we interchange two bosons or fermions? Also, why fermions’ wave functions change sign upon rotation of 360 degrees. Secondly, why two identical particles interchanged is equivalent to one being rotated by 360 degrees?
To understand the problem, one must understand what is spin and what is the nature of fermions and bosons. Think of a small cylindrical pipe and a candle. Place both on the table and rotate. When you rotate the candle by 360 degrees, it comes back to its original position. That is, by spinning once, it reverts to its original position. This is an example of Spin 1. Now rotate the cylindrical pipe. You do not have to rotate it by 360 degrees, it appears to come back to its original position after rotating 180 degrees – ½ of one spin. This is an example of Spin 1/2.
Now think of a glass and water filled in it. Water needs a container – here the glass tumbler. Overturn the glass by 180 degrees. All the water is displaced – occupy space in ‘another container’ – may be of different shape including the flat surface where it spreads. But if you rotate the empty tumbler by 360 degrees, it returns to its original position without being displaced. The solid glass tumbler behaves like a boson and the liquid water behaves like fermions.
Electricity is the flow of electrons and behaves like a fluid. You can picture these as a fish in water. The water surrounds the fish. We observe something only by contrasting its motion or radiation with its background. We observe the fish only because it radiates different wavelengths than water. We cannot differentiate one water molecule or a drop of water from another, because they radiate the same wavelength. If the fish moves, it creates a tip or a wave-front, which we could differentiate from the background. Similarly, what we call bosons (including electrons), are nothing but a part of the “electron sea”, in which some radiation from the protons (like the fish) creates a wave-front. We call each such wave front electrons.
For this reason, one cannot predict the position of an electron, but when one measures it, one finds it in a fixed position. How can one measure unless he/she first observe the wave-front? One cannot measure something without perceiving it first. “Scientists” up turn this logic and say that, though they cannot predict the exact location of the electron, an electron is always found in a place when it is measured.
This way, they fool everyone with incomprehensible statements and “mathematical structures”.
There is no weirdness in the quantum world. I can explain each quantum phenomena with macro equivalents. Modern science needs rewriting and it must not be done by the “Scientists”, but rational people who do not fantasize.