Re: Why Should We Quantize Geometry?

Hontas F. Farmer III wrote:
> The known facts that energy is quantized and the presence and
> distribution of energy causes gravitational geometry lead me to the
> following.
>
> * Mass-energy is quantized and willhave an inversely proportional
> quantized effect of the nearby space.

It is correct that mass-energy appears to be quantized, although in a
non-trivial way. E.g., we know that m_p/m_e = 1836.153... (which
differs from 6pi^5 = 1836,118...). That a successful quantum theory
of gravity should produce this number seems like a natural requirement
to me.

That QG should explain mass quantization is very natural. After all,
GR is a kind of non-abelian gauge theory (not of Yang-Mills type,
but anyway). The first thing that non-abelian gauge theories do
explain is the quantization of the corresponding charge. Thus,
QCD explains quantization of color, i.e. why there are exactly
3 colors of quarks and 8 types of gluons. Weak SU(2) explains the
spectrum of weak charges. EM almost explains quantization of electric
charge (or would if there were magnetic monopoles, anyway). And the
rotation group (which is not a gauge symmetry, so this analogy is
somewhat weak) explains quantization of angular momentum, which is
rotation charge.

Since mass is the gravitational charge, quantum gravity should explain
how it is quantized.

.

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