Q. Why did Albert Einstein choose the dilation of time to explain a missing piece in Newton’s theory of gravity?
A. Because that was the only way to prove and explain a deeper and a more hidden truth, invisible to our most sophisticated instruments. Physics and the sophisticated technology behind it can’t replace the resourcefulness and power of our minds. Einstein tried to explain to himself -using nothing but thoughts experiments by the way- an obvious flaw in the concept of space and time and he formulated an equation to help us see the reality as it is perceived.
What Einstein found was a “symptom” and he did very well to find the relief for it. No argument that thanks to his Theory of Relativity we are much better now than where we were a century ago… but the illness in our theories remains. Dr. Richard Feynman was awarded the Noble Prize for his Theory of Quantum electrodynamics and up until today [when it comes to predicting results] it’s one of our most exact ones… however he was forced to trick his numbers using what’s known as “re-normalization”. Feynman had to get rid of a few infinite solutions before succeeding and that was something he wasn’t felt too good about it according to his written memories. [true!]
You look where ever alpha appears in our equations and right behind it is pi. Alpha, the coupling or the Fine structure constant as it’s also known represents the “illness” I was mentioning to you above. 137 is a constant without units defining it, a dimensionless magnitude that appears when ever pi is around.
Mathematics has a rather abstract concept, the infinitesimal point in space. It’s supposed to be so small that a quark could be seen as a planet near to it and it’s still even smaller (!) If you try to imagine it for just a moment and you close your eyes you could even see a point in a 3 dimensional plane of space floating alone. Since your mind is able to move around it you will be looking at nothing but a sphere… not very different than our sun or a moonless planet. There’s an old mathematical equation to define that little sphere’s volume and is that concept of volume what tells us how much space that point is occupying… correct? But the equation contains an irrational constant within itself: π. Apparently everyone seems to feel fine with it and most probably we keep blaming our mathematics for not finding the way to make pi rational. Did you know that Dr. Feynman used to recite all the decimals of pi up until his “point” nine times the number 9. He definitely saw the problem with an infinite tail of decimals however since there was nothing he or anyone could do about it… let it be!
The entire problem, the illness that keep our multiple interpretations and theories in physics from a final unification depends in the inclusion of a final solution to this problem. It’s a problem that we can’t see nor measure it but is there and alpha is the missing piece to make it visible, the relationship between pi and alpha will unify all theories in the GUT.
Miguel De Zayas