[time 969] Sharpened form of Riemann hypothesis and TGD


Matti Pitkanen (matpitka@pcu.helsinki.fi)
Wed, 3 Nov 1999 15:04:09 +0200 (EET)


Dear Stephen and all,

I have worked with the sharpened form of Riemann hypothesis
stating that the phase factors p^(iy) are Pythagorean
(complex rational) phases for all primes p when y corresponds
to zero z=1/2+iy of Riemann zeta.

The sharpened hypothesis allows various interpretations: for instance,
the matrix elements of the time development operator
U(t) for arithmetic quantum field theories are
Pythagorean phases when *time t is quantized* such
that z=1/2+it corresponds to zero of Riemann zeta!

For these values of time time development operator
of arithmetic QFT would allow p-adicization by
phase preserving canonical identification.

I attach the tex file.

Best,
MP




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