Recent content by mgeorge001

I appreciated the question, and actually think it is really a very good question. Also, recognizing what can be done in terms of applied math and engineering is important, whether or not one is able, in the moment to understand the ways in which to go beyond the established knowledge...

I like this perspective. Thanks.

I think the main problems that will arise within the near term with the advances in large language modeling will not come from the technology in itself, such as chatGPT, but from cyborg integration and use of sensors, that will enhance its biomimetic potentials. We have little control over this...

Thanks for the good question. Addressing such a question may go beyond applied math or engineering. New types of phenomena, for example, might arise outside the range (both microscopic and macroscopic) of sensors, for example, especially in adversarial games where someone may be trying to...

I think your point about scale is significant. Thanks. You have a mature perspective on this, that's obvious. A lot of this kind of work boils down to assumptions about small/small: That's a tricky 0/0 issue, but with a lot of work, like being able to reliably neglect say an h^2, I think...

I think it is important to see the proposed formula more in light of classical "macroscopics", i.e. not trying to get at the highly accurate microscopic detail. I personally do not know whether the formula is of much use or not. We see the same "classical" problem of "loss of scale" that can...

I like this formula because in x + Eps, Eps has a dimension, usually ignored, but scaling is often important, something this formula is explicitly giving as Eps is dimensionless in (1 + Eps)x and we measure scale relative to 1, whereas now, x is the only quantity with a dimension. Numerical...

I was only commenting on the Scientific American article. I thought it was interesting. As far as the accuracy of quotes of physicists, I did not check into that. Thanks for the mention of the article. I enjoyed reading it.

It is largely up to editors and peer reviewers, plus the researchers themselves to keep the reporting trustworthy. That makes the whole process dependent on people, most of whom have a variety of private agendas to push. Plus, once a "style" or "program" dominates, it often takes years before...

The Scientific America article was interesting. I think one must exercise some patience, with the significance of results as those reported. Unfortunately, "high level" physics always generates a lot of smoke and mirrors when the savvy researchers or journalists put spins on the stuff to "sell...

The technique of using "virtual particles" entails allowing a Markov like evolution process beneath the scale of the Fourier components. Thus, if the frequency yields a time scale T, we may want to adapt an artificial, simulated or "fantasy" approach to system evolution by breaking up T into a...

The "danger" to "mathematicians" from "AI" is pretty much a response of the vanity of some to weak AI. The reality of any actual danger to livelihoods or progress in math from AI is unknown at this time. Weak AI, i.e. via specific applications vs IQ, i.e. anthropocentric "general intelligence"...

I have nothing special to add to a lot of the real good perspectives here on a very interesting question. language is "organic" and I think best understood in the context of biology and the theory of evolution, rather than a perspective of "programmers" and "language aficionados". Not that the...

I think it likely that this type of question can benefit from some historical perspective. The modern physics involved with nuclei did not develop in just one step, and, in fact, benefitted from insights that nuclear physicists gained from theories and experiments in other fields. You may wish...

I teach math part-time at San Diego City College, and retired last year from work as a physics technician at Southwestern College in Chula Vista, California. I am interested in learning, and thought joining a forum might be a good step in that direction. My PhD in Physics is from University...