Hi Jennifer,
While I enjoyed your lucid essay, I had objections to a couple of points. You wrote:
> And we know, in a universe post EPR "spooky action at a distance" and post Alain Aspect's experiment to test for EPR's validity, that quantum systems possess another intriguing quality that is sometimes seen by entrepreneuring reality hackers as a potential workaround for the limits of information: nonlocality.
While this is the mainstream view, there are approaches to QM that exhibit local realism despite Bell's Theorem. The problem is that Bell's theorem applies only to formulations of QM over complex numbers, whereas QM can be formulated over quaternions or other Clifford Algebraic numbers. These formulations have quite simple realistic models.
> If we trust Kleene's interpretation, since binary code represents such a formal system via which we can express elementary truth statements, what we can say with binary code is limited by Godel's theorem.
If I remember correctly (and it has been 40 years since I studied it) to meet the pre-conditions of Godel's Theorem your system has to be capable of representing ALL of arithmetic (i.e. addition and multiplication on arbitrarily large integers). Actual computers (having finite word sizes and finite resources) cannot do that, so I think the theorem applies only to abstract mathematical systems. I do not recall if there are some incompleteness results related to finite machines but that would be what you need for your argument.
> It is fascinating to realize that anything you or I perceive via sight or hearing each day may be represented in on/off neuron switches in our brains/minds... This information travels at the limit of the speed of sound-a physical limit. The ultimate limit on how fast we can get this sort of information across is via the speed of light.
There is a very interesting field of research termed Pre-Stimulus Response that demonstrates this is an overly simplistic view. From a meta-study of the field:
"More than forty experiments published over the past 32 years examine the claim that human physiology predicts future important or arousing events, even though we do not currently understand how such a thing could be accomplished... human physiological measures anticipate what seem to be unpredictable future events by deviating from a baseline before an event occurs, in the same direction that they will continue to deviate after that event occurs. "
> Are we living in a "matrix" ? Is digital information literally all everything comes down to?
In my essay Software Cosmos, I take the concept of a simulated world seriously enough to suggest how the simulation could work and propose (and carry out) a test to see if we currently live in such a virtual world. I hope you get a chance to read and comment on it!
Hugh