Bernhard Riemann
1/ APRIL FOOLS' SCIENCE: Theory into Practice.
I was challenged by someone as to why I wasn't taking my own medicine referenced in the sub-tweet below this April 1st. Ok. Here goes.
What I believe about the universe that is quite different and why I don't talk about it much...
1/ APRIL FOOL'S SCIENCE: A proposal.
Already bored of the coming "April Fools' Day!" pranks? Same here. And it's still March!
Consider how we might re-purpose this resource for science. What if 1 day a year, we explored big ideas that'd normally result in professional shunning?
2/ When I was around 16-17, I learned of a story that fascinated me much more than it seemed to captivate any other mathematician or physicist. It was the story of the discovery of the "Wu-Yang" dictionary around 1975-6, involving 3 super-minds: Jim Simons, CN Yang & Is Singer.
3/ What was learned was that the Quantum of Planck, Bohr & Dirac was built on an internal Geometry, just as surely as General Relativity was built on an external geometry of space-time. Only the two geometries weren't the same! One was due to B Riemann; the other to C Ehresmann.
4/ Further the 2 geometries had different advantages. Riemann's geometry allowed you to compress the curvature & measure the 'torsion' while Ehresmann's encouraged "Gauge Rotation"... as long as you didn't do either of those two things. So I asked could the geometries be unified?
5/ This would be a change in physics' main question. Instead of asking if Einstein's gravity could fit within Bohr's quantum, we could ask "Could Einstein's structures peculiar to Riemann's geometry be unified & rotated within Ehresmann's?" The answer was almost a 'No!'
Almost.
6/ While physicists said the Universe was known to be chiral, I came to believe it was fundamentally symmetric. While we seemed to observe there being 3 or more generations of matter, I came to believe that there were but 2 true generations, plus an improbable "imposter." etc...
7/ In short a great many things had to be slightly off in our picture of the world in the 1980s to get the two geometric theories into a "Geometric Unity." Then in 1998, it was found that neutrinos weren't massless! This started to tip the scales towards the alterations I needed.
8/ In short the April 1st "trick" that is being played on me is that I see a *natural* theory where chirality would be emergent (not fundamental), the number of true generations would be 2 not 3, there would be 2^4 and not 15 Fermions in a generation, and the geometries unify.
9/ I spoke on this nearly 5 years ago; I have been slow to get back to it as I found the physics response bewildering. I have now decided to return to this work & to disposition it. So over the coming year, I'll begin pushing out "Geometric Unity" (as a non-physicist) to experts.
END/ I am sorry that this was a bit technical for lay folks and not technical enough for experts, but it's twitter. I may begin to say more in the weeks and months ahead that may be clarifying.
If you are interested, do stay tuned. Until then, I thank you for your time.