Dear Johan,
While I respect your original ideas but I got more confident now that we have quite different ways of reasoning.
It will not change anything, but maybe the discussion here might invite others to comment!
> The hidden variable perspective in QFT is in my opinion a deep consequence of > relativity. Indeed, relativity forces the hidden variable perspective upon us
Although much simpler argument than yours, this REMINDS me of an argument that H Nikolic made in an old paper. I'll try to see if I find it. That was if I remember correctly an attempt to related hidden variable theories with strings, and argue that the extended nature of a particle, follows from the relativistic and realistic view, roughly similar to a string.
> Furthermore, you do not seem to realize that classical gravity is a theory of > hidden vanables; likewise is classical Maxwell theory. Moreover, all these
> theories do not even specify at all what is being measured and we certainly
> do not measure a metric or measure stick.
I certainly do realize. Again, the diffence is that I think you use this to bring in more of the same; IMO the classical models are not near any "standard". I seek an intrinsic measurement theory.
> (a) nobody knows what information is, for that you need to know the
> (b) Nobody says that one needs to be able to measure or know information.
Except the statements needs to be clarified, I say so. The requirement of inferrability, and that any opinion must be rationally justified in terms of counting evidence, is a basic demand I have on an intrisitic model of inference.
So I disagree that it's wrong.
> (c) There is not reason why local information is finite; actually it should
> be infinite otherwise you break local Lorentz covariance; a principle which
I have a different understanding of lorentz covariants. Lorentz symmetry is related to 4D spacetime, and in my view this is constructed as an emergent sturcture, and lorentz symmetry is only completely well defined in the continuum apporoximation.
> In that respect, why would you think that we cannot grasp infinity?
I can't convince you I think, but it just causes too much problems with representation and processing time. IT seems to me that it would lead the infinite inertia, infinites, cosmological constants that 122 orders of magnitudfe off scale etc.
I see that you see how discrete problems creates all kinds of problems, I see it the other way around :) And the problems you mention I think can be solved, by allowing symmetries to be emergent and explain in the continuum limit.
But my kind of discreteness is subjective, not objective. Two observes doesn't necessarily agree about the discreteness.
> Furthermore, you have clearly not read the entire text: I started out by
> questioning those reasons to abandon the continuum, but I have also offered
> deep reasons FOR the continuum.
I did read it, but like you start with the continuum and look for reaons to abandon it (and conclude there are none), my stances is that of information processingg and rating evidence, in the discrete sense, and I see no convincing arguments that continuum is a more basic starting poitn than discrete ones. Even the real numbers are construced from limits of Q. I just think that the LIMIT is not physical.
> Concerning the underdevelopment of discrete techniques, this is not a matter > of an insufficient number of people working on it, but an inherent limitation > of discreteness.
And probably lack of good ideas in the direction :)
/Fredrik