Recent content by mad mathematician

Well when its biggest advocates wins the Fields medal (a prize in maths), and had to encourage someone to invent a prize (almost specially tailored for him and his advocates); you understand what's the problem here.

I wonder how difficult it would be to to write down a model where it changes with time.

Complex Gauge theory, sounds someithing that resonates with the book by Yurin Manin.

Why should we believe that the cosmological constant is indeed a constant, and not another parameter that changes with spacetime dynamics? Obviously it would make the calculations even more intractable; but who said that life in the universe is easy?! :oldbiggrin: :oldeek:

Try Mark Thomson's book on particle theory.

My sincere condolences, we had some fierce posts in beyond SM of particles. Though I can't tell if he posted when I started back in 2002.

Hi @anuttarasammyak I know what is a Hilbert space. x in you case is spatial coordinate, so if I want inifinite number of coordinates then I would get a product of infinite number of dirac deltas.

but spacetime in QM isn't inifinite dimensional in spatial coordinates.

How would one build mathematically an infinite number of spatial dimensions theory? I can concieve mathematically an n-th vector or ##\mathbb{R}^{\infty}##, I had done so in my Topology course back then. But obviously it's not empirically possible to test. But is a theory of everything ought...

As for Sokal-like hoax I don't really know. I mean Bogdanov brothers got their doctor diplomas for a nonsense-type of publication. So who knows?

The classical computer is binary. As for Boolean algebra, it seems there are several Boolean algebras; in Machover and Bell there's a full chapter on them.

Well you have two options Quantum vs Classical. Now infinities are all over physics (classical and quantum), the self energy of an electron is known to diverge to infinity. So from a classical logic stand it's obvious you can infer CFT (Classical Field Theories) from QFT, from logical...

What do you mean "apply it to Klein Gordon"? do you mean we assume that if psi satisfies KG then psi doesn't satisfy the conservation equation of probability; like in NRQM? https://en.wikipedia.org/wiki/Probability_current Can you provide a calculation that shows this claim? QM 2 was taken more...

What's bad with energy being conserved? Was there an attempt to replace SR with GR in RQM? or is LQG such an attempt, i.e they don't use QFT but only QM. On another note, if the universe started from separation of anti particles from particles (I can posit that there is a mirror universe to...

Don't we have already such a PDF? Absolute value squared of the wave function of a particle.