On 22 Oct 2013, at 04:20, Russell Standish wrote:

On Tue, Oct 22, 2013 at 02:49:40PM +1300, LizR wrote:
I missed that 10^-48 is rather an impressive result. Is that definitive -
granularity has to be that small - or merely suggestive?

It does suggest the possibility of a lot of internal structure inside
"fundamental" particles!


On 22 October 2013 14:43, Richard Ruquist <yann...@gmail.com> wrote:

The 10^-48 meters for the upper limit on grannular size of space is better
compared to the Planck Scale at 10^-35.
So space is smooth at least to 10^-13 Planck scales consistent with Fermi gamma ray arrival results. Gamma rays a factor of ten different in energy arrived from across the universe at the same time whereas granularity would
delay one measurably.



Indeed this seems an important empiricial result, ruling out certain
classes of models, including, dare I say, Wolfram's NKS.

However, it does not rule out computationalism, nor the countability
of observer moments, as I've point out many time, as space-time is
most likely a model construct, rather than actually being something
physical "out there". It is something Allen Francom bangs on about too,
which I tend to agree with, although admittedly I've gotten lost with
his Brownian Quantum Universe models.

Computationalism implies non classical granularity possible, but quantum granularity is not excluded, with a qubit being described by some continuum aI0> + bI1> (a and b complex).

The basic ontology can be discrete (indeed arithmetical), but the physical (and the theological) should reasonably have continuous observable (even if those are only the frequency operators, and that *only* the probabilities reflect the continuum. Needless to say those are open problems).

I was thinking some recent observations tended to rule out granularity. Hard questions, but with comp, some continuum seems to play a role in physics (which should be a first person plural universal machines view).


Bruno



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