Structure in Reality by Hans van Leunen

Hans,

I do hope you may look at my complex sequence and advise if you think quaternions may apply & help express it. (It's rather like Diracs QM equation with 2 pairs orthogonally inverse).

Yes I still enjoy student interaction. In August with a Delft student crew I won a Race from UK to France, discussing physics much of the way, and the 6 inertial frames we were dealing with (4 evolving); Earth-centric, Sea Bed, Water, Ambient Air ('wind'), accelerated air flow, Boat. 'Apparent Wind' is a critical concept.

I assume you can't reconcile Alan Kadin's 'no Hilbert Space' comment?

Very best

Peter

Good to hear from you again Hans!

Interesting - and short - read. I agree that a discussion (only) of fundamentals should be kept short!

I see that you are still very interested in Hilbert's work (e.g. Hilbert's Program) and of course Hilbert Space. I once gave a talk at MathFest 2011 on this general subject. I must then point out that his definition of completeness is not considerable, but that "consistency" is crucial. So in many ways we must consider Takeuti's proof that a consistent mathematical system must be finitary.

This opens up the discussion to include representation theory.

It is not at all clear to me what sort of finite particle a quaternion algebra might represent, though. And whether the formulation (or geometry) is causal. But it is clear that the No-Boundary Wave Function is causal and its variables easily assigned to finite-geometric metrics.

Feel free to investigate these fundamental ideas further

https://fqxi.org/community/forum/topic/3092

best,

Wayne

Hans,

You cogently and economically describe a "Structure in Reality." You paint a vivid picture of a creator leaving us alone in the words: "After the creation, the creator leaves his creatures alone." My concern is that those elementary particles we have discovered might not include dark matter and dark energy, that is if they really exist. I like the way you have concisely put together this imagined dynamic creation on a bed of Hilbert space. Worthy of a good score.

Good luck.

Jim Hoover

"The requirement that experiments must verify everything is sound-ready crap. Much of the physical reality is inaccessible to measurement. In that case, deduction remains the only way of approach."

I agree, this is undoubtedly true although many people find it more convenient to deny it. Thanks for an excellent essay. My only criticism is that it is a little too short.

Dear Hans,

I highly appreciate your beautifully written essay.

It is so close to me. «From the ground up. The other way suggests the existence of a potential candidate for the foundation of physical reality. The method supposes that this foundation has such a simple structure that intelligent people have already added this structure as an interesting structure to the list of discovered structures. For them, there existed no need to seek the foundation of reality».

I hope that my modest achievements can be information for reflection for you.

Vladimir Fedorov

https://fqxi.org/community/forum/topic/3080

Dear Hans, ...(copied to your and mine)

Thank you very much for your attention and explanations.

I wish you happiness in your scientific work in search of truth.

Vladimir Fedorov

https://fqxi.org/community/forum/topic/3080

Hans,

I hope you get to read and comment on mine as I did yours. I'd value your assessment, but if you do so please read the last half carefully to reconstruct the classical mechanism.

I generally manage to ensure I assess & score all who do so on mine. Hope yours get into the finalist group.

Very best.

Peter