A general update. Links.

I. A general update regarding my on-going research work (on my new approach to QM):

1.1 How the development is actually proceeding:

I am working through my new approach to QM. These days, I write down something and/or implement some small and simple Python code snippets (< 100 LOC Python code) every day. So, it’s almost on a daily basis that I am grasping something new.

The items of understanding are sometimes related to my own new approach to QM, and at other times, just about the mainstream QM itself. Yes, in the process of establishing a correspondence of my ideas with those of the mainstream QM, I am getting to learn the ideas and procedures from the mainstream QM too, to a better depth. … At other times, I learn something about the correspondence of both the mainstream QM and my approach, with the classical mechanics.

Yes, at times, I also spot some inconsistencies within my own framework! It too happens! I’ve spotted several “misconceptions” that I myself have had—regarding my own approach!

You see, when you are ab initio developing a new theory, it’s impossible to pursue the development of the theory very systematically. It’s impossible to be right about every thing, right from the beginning. That’s because the very theory itself is not fully known to you while you are still developing it! The neatly worked out structure, its best possible presentations, the proper hierarchical relations… all of these emerge only some time later.

Yes, you do have some overall, “vaguish” idea(s) about the major themes that are expected to hold the new theory together. You do know many elements that must be definitely there.

In my case, such essential themes or theoretical elements go, for example, like: the energy conservation principle, the reality of some complex-valued field, the specific (natural) form of the non-linearity which I have proposed, my description of the measurement process and of Born’s postulate, the role that the Eulerian (fixed control volume-based) formulations play in my theorization, etc.

But all these are just elements. Even when tied together, they still amount to only an initial framework. Many of these elements may eventually turn out to play an over-arching role in the finished theory. But during the initial stages (including the stage I am in), you can’t even tell which element is going to play a greater role. All the elements are just loosely (or flexibly) held together in your mind. Such a loosely held set does not qualify to be called a theory. There are lots and lots (and lots) of details that you still don’t even know exist. You come to grasp these only on the fly, only as you are pursuing the “fleshing out” of the “details”.

1.2. Multiple threads of seemingly haphazard threads of thoughts

Once the initial stage gets over, and you are going through the fleshing out stage, the development has a way of progressing on multiple threads of thought, simultaneously.

There are insights or minor developments, or simply new validations of some earlier threads, which occur almost on a daily basis. Each is a separate piece of a small little development; it makes sense to you; and all such small little pieces keep adding up—in your mind and in your notebooks.

Still, there is not much to share with others, simply because in the absence of a knowledge of all that’s going through your mind, any pieces you share are simply going to look as if they were very haphazard, even “random”.

1.3. At this stage, others can easily misunderstand what you mean:

Another thing. There is also a danger that someone may misread you.

For example, because he himself is not clear on many other points which you have not noted explicitly.

Or, may be, you have noted your points somewhere, but he hasn’t yet gone through them. In my case, it is the entirety of my Ontologies series [^]. … Going by the patterns of hits at this blog, I doubt whether any single soul has ever read through them all—apart from me, that is. But this entire series is very much alive in my mind when I note something here or there, including on the Twitter too.

Or, sometimes, there is a worse possibility too: The other person may read what you write quite alright, but what you wrote down itself was somewhat misleading, perhaps even wrong!

Indeed, recently, something of this sort happened when I had a tiny correspondence with someone. I had given a link to my Outline document [^]. He went through it, and then quoted from it in his reply to me. I had said, in the Outline document, that the electrons and protons are classical point-particles. His own position was that they can’t possibly be. … How possibly could I reply him? I actually could not. So, I did not!

I distinctly remember that right when I was writing this point in the Outline document, I had very much hesitated precisely at it. I knew that the word “classical” was going to create a lot of confusions. People use it almost indiscriminately: (i) for the ontology of Newtonian particles, (ii) for the ontology of Newtonian gravity, (iii) for ontology of the Fourier theory (though very few people think of this theory in the context of ontologies), (iv) for ontology of EM as implied by Maxwell, (v) for ontology of EM as Lorentz was striving to get at and succeeded brilliantly in so many essential respects (but not all, IMO), etc.

However, if I were to spend time on getting this portion fully clarified (first to myself, and then for the Outline document), then I also ran the risk of missing out on noting many other important points which also were fairly nascent to me (in the sense, I had not noted them down in a LaTeX document). These points had to be noted on priority, right in the Outline document.

Some of these points were really crucial—the V(x,t) field as being completely specified in reference to the elementary charges alone (i.e. no arbitrary PE fields), the non-linearity in \Psi(x,t), the idea that it is the Instrument’s (or Detector’s) wavefunction which undergoes a catastrophic change—and not the wavefunction of the particle being measured, etc. A lot of such points. These had to be noted, without wasting my time on what precisely I meant when I used the word “classical” for the point-particle of the electron etc.

Yes, I did identify that I the elementary particles were to be taken as conditions in the aether. I did choose the word “background object” merely in order to avoid any confusion with Maxwell’s idea of a mechanical aether. But I myself wasn’t fully clear on all aspects of all the ideas. For instance, I still was not familiar with the differences of Lorentz’ aether from Maxwell’s.

All in all, a document like the Outline document had to be an incomplete document; it had to come out in the nature of a hurried job. In fact, it was so. And I identified it as such.

I myself gained a fuller clarity on many of these issues only while writing the Ontologies series, which happened some 7 months later, after putting out the Outline document online. And, it was even as recently as in the last month (i.e., about 1.5 years after the Outline document) that I was still further revising my ideas regarding the correspondence between QM and CM. … Indeed, this still remains a work in progress… I am maintaining handwritten notes and LaTeX files too (sort of like “journal”s or “diaries”).

All in all, sharing a random snapshot of a work-in-progress always carries such a danger. If you share your ideas too early, while they still are being worked out, you might even end up spreading some wrong notions! And when it comes to theoretical work, there is no product-recall mechanism here—at all! Detrimental to your goals, after all!

1.3 How my blogging is going to go, in the next few weeks:

So, though I am passing through a very exciting phase of development these days, and though I do feel like sharing something or the other on an almost daily basis, when I sit down and think of writing a blog post, unfortunately, I find that there is very little that I can actually share.

For this very reason, my blogging is going to be sparse over the coming weeks.

However, in the meanwhile, I might post some brief entries, especially regarding papers/notes/etc. by others. As in this post.

OTOH, if you want something bigger to think about, see the Q&A answers from my last post here. That material is enough to keep you occupied for a couple of decades or more… I am not joking. That’s what’s happened to others; it has happened to me; and I can guarantee you that it would happen to you too, so long as you keep forgetting whatever you’ve read about my new approach. You could then very easily spend decades and decades (and decades)…

Anyway, coming back to some recent interesting pieces by others…


II. Links:


2.1. Luboš Motl on TerraPower, Inc.:

Dr. Luboš Motl wrote a blog-post of the title “Green scientific illiteracy enters small nuclear reactors, too” [^]. This piece is a comment on TerraPower’s proposal. In case you didn’t know, TerraPower is a pet project of Bill Gates’.

My little note (on the local HDD), upon reading this post, had said something like, “The critics of this idea are right, from an engineering/technological viewpoint.”

In particular, I have too many apprehensions about using liquid sodium. Further, given the risk involved in distributing the sensitive nuclear material over all those geographically dispersed plants, this idea does become, err…, stupid.

In the above post, Motl makes reference to another post of his, one from 2019, regarding the renewable energies like the solar and the wind. The title of this earlier post read: “Bill Gates: advocates of dominant wind & solar energy are imbeciles” [^]. Make sure to go through this one too. The calculation given in it is of a back-of-the-envelop kind, but it also is very impeccable. You can’t find flaw with the calculation itself.

Of course, this does not mean that research on renewable energies should not be pursued. IMO, it should be!

It’s just that I want to point out a few things: (i) Motl chooses the city of Tokyo for his calculation, which IMO would be an extreme case. Tokyo is a very highly dense city—both population-wise and on the count of geographical density of industries (and hence, of industrial power consumption). There can easily be other places where the density of power consumption, and the availability of the natural renewable resources, are better placed together. (ii) Even then, calculations such as that performed by Motl must be included in all analyses—and, the cost of renewable energy must be calculated without factoring in the benefit of government subsidies. … Yes, research on renewable energy would still remain justified. (iii) Personally, I find the idea of converting the wind/solar electricity into hydrogen more attractive. See my 2018 post [^] which had mentioned the idea of using the hydrogen gas as a “flywheel” of sorts, in a distributed system of generation (i.e. without transporting the wind-generated hydrogen itself, over long distances).


2.2. Demonstrations on coupled oscillations and resonance at Harvard:

See this page [^]; the demonstrations are neat.

As to the relevance of this topic to my new approach to QM: The usual description of resonance proceeds by first stating a homogeneous differential equation, and then replacing the zero on the right hand-side with a term that stands for an oscillating driving force [^]. Thus, we specify a force-term for the driver, but the System under study is still being described with the separation vector (i.e. a displacement) as the primary unknown.

Now, just take the driver part of the equation, and think of it as a multi-scaled effect of a very big assemblage of particles whose motions themselves are fundamentally described using exactly the same kind of terms as those for the particles in the System, i.e., using displacements as the primary unknown. It is the multi-scaling procedure which transforms a fundamentally displacement-based description to a basically force-primary description. Got it? Hint below.

[Hint: In the resonance equation, it is assumed that form of the driving force remains exactly the same at all times: with exactly the same F_0, m, and \omega. If you replace the driving part with particles and springs, none of the three parameters characterizing the driving force will remain constant, especially \omega. They all will become functions of time. But we want all the three parameters to stay constant in time. …Now, the real hint: Think of the exact sinusoidal driving force as an abstraction, and multi-scaling as a means of reaching that abstraction.]


2.3 Visualization of physics at the University of St. Andrews:

Again, very neat [^]. The simulations here have very simple GUI, but the design of the applets has been done thoughtfully. The scenarios are at a level more advanced than the QM simulations at PhET, University of Colorado [^].


2.4. The three-body problem:

The nonlinearity in \Psi(x,t) which I have proposed is, in many essential ways, similar to the classical N-body problem.

The simplest classical N-body problem is the 3-body problem. Rhett Allain says that the only way to solve the 3-body problem is numerically [^]. But make sure to at least cursorily note the special solutions mentioned in the Wiki [^]. This Resonance article (.PDF) [^] seems quite comprehensive, though I haven’t gone through it completely. Related, with pictures: A recent report with simulations, for search on “choreographies” (which is a technical term; it refers to trajectories that repeat) [^].

Sure there could be trajectories that repeat for some miniscule number of initial conditions. But the general rule is that the 3-body problem already shows sensitive dependence on initial conditions. Search the ‘net for 4-body, 5-body problems. … In QM, we have 10^{23} particles. Cool, no?


2.5. Academic culture in India:

2.5.1: Max Born in IISc Bangalore:

Check out a blog post/article by Karthik Ramaswamy, of the title “When Raman brought Born to Bangalore” [^]. (H/t Luboš Motl [^].)

2.5.2: Academic culture in India in recent times—a personal experience involving the University of Pune, IIT Bombay, IIT Madras, and IISc Bangalore:

After going through the above story, may I suggest that you also go through my posts on the Mechanical vs. Metallurgy “Branch Jumping” issue. This issue decidedly came up in 2002 and 2003, when I went to IIT Bombay for trying admission to PhD program in Mechanical department. I tried multiple times. They remained adamant throughout the 2002–2003 times. An associate professor from the Mechanical department was willing to become my guide. (We didn’t know each other beforehand.) He fought for me in the department meeting, but unsucessfully. (Drop me a line to know who.) One professor from their CS department, too, sympathetically listened to me. He didn’t understand the Mechanical department’s logic. (Drop me a line to know who.)

Eventually, in 2003, three departments at IISc Bangalore showed definite willingness to admit me.

One was a verbal offer that the Chairman of the SERC made to me, but in the formal interview (after I had on-the-spot cleared their written tests—I didn’t know they were going to hold these). He even offered me a higher-than-normal stipend (in view of my past experience), but he said that the topic of research would have to be one from some 4–5 ongoing research projects. I declined on the spot. (He did show a willingness to wait for a little while, but I respectfully declined it too, because I knew I wanted to develop my own ideas.)

At IISc, there also was a definite willingness to admit me by both their Mechanical and Metallurgy departments. That is, during my official interviews with them (which once again happened after I competitively cleared their separate written tests, being short-listed to within 15 or 20 out of some 180 fresh young MTech’s in Mechanical branch from IISc and IITs—being in software, I had forgotten much of my core engineering). Again, it emerged during my personal interviews with the departmental committees, that I could be in (yes, even in their Mechanical department), provided that I was willing to work on a topic of their choice. I protested a bit, and indicated the loss of my interest right then and there, during both these interviews.

Finally, at around the same time (2003), at IIT Madras, the Metallurgical Engg. department also made an offer to me (after yet another written test—which I knew was going to be held—and an interview with a big committee). They gave me the nod. That is, they would let me pursue my own ideas for my PhD. … I was known to many of them because I had done my MTech right from the same department, some 15–17 years earlier. They recalled, on their own, the hard work which I had put in during my MTech project work. They were quite confident that I could deliver on my topic even if they at that time they (and I!) had only a minimal idea about it.

However, soon enough, Prof. Kajale at COEP agreed to become my official guide at University of Pune. Since it would be convenient for me to remain in Pune (my mother was not keeping well, among other things), I decided to do my PhD from Pune, rather than broach the topic once again at SERC, or straight-away join the IIT Madras program.

Just thought of jotting down the more recent culture at these institutes (at IIT Bombay, IIT Madras, and IISc Bangalore), in COEP, and of course, in the University of Pune. I am sure it’s just a small slice in the culture, just one sample, but it still should be relevant…

Also relevant is this part: Right until I completely left academia for good a couple of years ago, COEP professors and the University of Pune (not to mention UGC and AICTE) continued barring me from becoming an approved professor of mechanical engineering. (It’s the same small set of professors who keep chairing interview processes in all the colleges, even universities. So, yes, the responsibility ultimately lies with a very small group of people from IIT Bombay’s Mechanical department—the Undisputed and Undisputable Leader, and with COEP and University of Pune—the  Faithful Followers of the former).

2.5.3. Dirac in India:

BTW, in India, there used to a monthly magazine called “Science Today.” I vaguely recall that my father used to have a subscription for it right since early 1970s or so. We would eagerly wait for each new monthly issue, especially once I knew enough English (and physics) to be able to more comfortably go through the contents. (My schooling was in Marathi medium, in rural areas.) Of course, my general browsing of this magazine had begun much earlier. [“Science Today” would be published by the Times of India group. Permanently gone are those days!]

I now vaguely remember that one of the issues of “Science Today” had Paul Dirac prominently featured in it. … I can’t any longer remember much anything about it. But by any chance, was it the case that Prof. Dirac was visiting India, may be TIFR Bombay, around that time—say in mid or late 1970s, or early 1980’s? … I tried searching for it on the ‘net, but could not find anything, not within the first couple of pages after a Google search. So, may be, likely, I have confused things. But would sure appreciate pointers to it…

PS: Yes, I found this much:

“During 1973 and 1975 Dirac lectured on the problems of cosmology in the Physical Engineering Institute in Leningrad. Dirac also visited India.’‘ [^].

… Hmm… Somehow, for some odd reason, I get this feeling that the writer of this piece, someone at Vigyan Prasar, New Delhi, must have for long been associated with IIT Bombay (or equivalent thereof). Whaddaya think?


2.6. Jim Baggott’s new book: “Quantum Reality”:

I don’t have the money to buy any books, but if I were to, I would certainly buy three books by Jim Baggott: The present book of the title “Quantum Reality,” as well as a couple of his earlier books: the “40 moments” book and the “Quantum Cookbook.” I have read a lot of pages available at the Google books for all of these three books (may be almost all of the available pages), and from what I read, I am fully confident that buying these books would be money very well spent indeed.

Dr. Sabine Hossenfelder has reviewed this latest book by Baggott, “Quantum Reality,” at the Nautil.us; see “Your guide to the many meanings of quantum mechanics,” here [^]. … I am impressed by it—I mean this review. To paraphrase Hossenfelder herself: “There is nothing funny going on here, in this review. It just, well, feels funny.”

Dr. Peter Woit, too, has reviewed “Quantum Reality” at his blog [^] though in a comparatively brief manner. Make sure to go through the comments after his post, especially the very first comment, the one which concerns classical mechanics, by Matt Grayson [^]. PS: Looks like Baggott himself is answering some of the comments too.

Sometime ago, I read a few blog posts by Baggott. It seemed to me that he is not very well trained in philosophy. It seems that he has read philosophy deeply, but not comprehensively. [I don’t know whether he has read the Objectivist metaphysics and epistemology or not; whether he has gone through the writings/lectures by Ayn Rand, Dr. Leonard Peikoff, Dr. Harry Binswanger and David Harriman or not. I think not. If so, I think that he would surely benefit by this material. As always, you don’t have to agree with the ideas. But yes, the material that I am pointing out is by all means neat enough that I can surely recommend it.]

Coming back to Baggott: I mean to say, he delivers handsomely when (i) he writes books, and (ii) sticks to the physics side of the topics. Or, when he is merely reporting on others’ philosophic positions. (He can condense down their positions in a very neat way.) But in his more leisurely blog posts/articles, and sometimes even in his comments, he does show a tendency to take some philosophic point in a something of a wrong direction, and to belabour on it unnecessarily. That is to say, he does show a certain tendency towards pedantry, as it were.  But let me hasten to add: He seems to show this tendency only in some of his blog-pieces. Somehow, when it comes to writing books, he does not at all show this tendency—well, at least not in the three books I’ve mentioned above.

So, the bottomline is this:

If you have an interest in QM, and if you want a comprehensive coverage of all its interpretations, then this book (“Quantum Reality”) is for you. It is meant for the layman, and also for philosophers.

However, if what you want is a very essentialized account of most all of the crucial moments in the development of QM (with a stress on physics, but with some philosophy also touched on, and with almost no maths), then go buy his “40 Moments” book.

Finally, if you have taken a university course in QM (or are currently taking it), then do make sure to buy his “Cookbook” (published in January this year). From what I have read, I can easily tell: You would be doing yourself a big favour by buying this book. I wish the Cookbook was available to me at least in 2015 if not earlier. But the point is, even after developing my new approach, I am still going to buy it. It achieves a seemingly impossible combination: Something that makes for an easy reading (if you already know the QM) but it will also serve as a permanent reference, something which you can look up any time later on. So, I am going to buy it, once I have the money. Also, “Quantum Reality”, the present book for the layman. Indeed all the three books I mentioned.

(But I am not interested in relativity theory, or QFT, standard model, etc. etc. etc., and so, I will not even look into any books on these topics, written by any one.)


OK then, let me turn back to my work… May be I will come back with some further links in the next post too, may be after 10–15 days. Until then, take care, and bye for now…


A song I like:

(Marathi) घन घन माला नभी दाटल्या (“ghan ghan maalaa nabhee daaTalyaa”)
Singer: Manna Dey
Lyrics: G. D. Madgulkar
Music: Vasant Pawar

[A classic Marathi song. Based on the (Sanskrit, Marathi) राग मल्हार (“raaga” called “Malhaara”). The best quality audio is here [^]. Sung by Manna Dey, a Bengali guy who was famous for his Hindi film songs. … BTW, it’s been a marvellous day today. Clear skies in the morning when I thought of doing a blog post today and was wondering if I should add this song or not. And, by the time I finish it, here are strong showers in all their glory! While my song selection still remains more or less fully random (on the spur of the moment), since I have run so many songs already, there has started coming in a bit of deliberation too—many songs that strike me have already been run!

Since I am going to be away from blogging for a while, and since many of the readers of this blog don’t have the background to appreciate Marathi songs, I may come back and add an additional song, a non-Marathi song, right in this post. If so, the addition would be done within the next two days or so. …Else, just wait until the next post, please! Done, see the song below]


(Hindi) बोल रे पपीहरा (“bol re papiharaa”)
Singer: Vani Jairam
Music: Vasant Desai
Lyrics: Gulzar

[I looked up on the ‘net to see if I can get some Hindi song that is based on the same “raaga”, i.e., “Malhaar” (in general). I found this one, among others. Comparing these two songs should give you some idea about what it means when two songs are said to share the same “raaga”. … As to this song, I should also add that the reason for selecting it had more to do with nostalgia, really speaking. … You can find a good quality audio here [^].

Another thing (that just struck me, on the fly): Somehow, I also thought of all those ladies and gentlemen from the AICTE New Delhi, UGC New Delhi, IIT Bombay’s Mechanical Engg. department, all the professors (like those on R&R committees) from the University of Pune (now called SPPU), and of course, the Mechanical engg. professors from COEP… Also, the Mechanical engineering professors from many other “universities” from the Pune/Mumbai region. … पपीहरा… (“papiharaa”) Aha!… How apt are words!… Excellence! Quality! Research! Innovation! …बोल रे, पपीहरा ऽऽऽ (“bol re papiharaa…”). … No jokes, I had gone jobless for 8+ years the last time I counted…

Anyway, see if you like the song… I do like this song, though, probably, it doesn’t make it to my topmost list. … It has more of a nostalgia value for me…

Anyway, let’s wrap up. Take care and bye for now… ]


History:
— First published: 2020.09.05 18:28 IST.
— Several significant additions revisions till 2020.09.06 01:27 IST.
— Much editing. Added the second song. 2020.09.06 21:40 IST. (Now will leave this post in whatever shape it is in.)

And to think…

Many of you must have watched the news headlines on TV this week; many might have gathered it from the ‘net.

Mumbai—and much of Maharashtra—has gone down under. Under water.

And to think that all this water is now going to go purely to waste, completely unused.

… And that, starting some time right from say February next year, we are once again going to yell desperately about water shortage, about how water-tankers have already begun plying on the “roads” near the drought-hit villages. … May be we will get generous and send not just 4-wheeler tankers but also an entire train to a drought-hit city or two…

Depressing!


OK. Here’s something less depressing. [H/t Jennifer Ouellette (@JenLucPiquant) ]:

“More than 2,000 years ago, people were able to create ice in the desert even with temperatures above freezing!” [^]

The write-up mentions a TED video by Prof. Aaswath Raman. Watched it out of idle interest, checked out his Web site, and found another TED video by him, here [^]. Raman cites statistics that blew me!

They spend “only” $24 billion on supermarket refrigeration (and other food-related cooling), but they already spend $42 billion on data-center cooling!!


But, any way, I did some further “research” and landed at a few links, like the Wiki on Yakhchal [^], on wind-catcher [^], etc.  Prof. Raman’s explanation in terms of the radiative cooling was straight-forwards, but I am not sure I understand the mechanism behind the use of a qanat [^] in Yakhchal/windcatcher cooling. It would be cool to do some CFD simulations though.


Finally, since I am once again out of a job (and out of all my saved money and in fact also into credit-card loans due to some health issue cropping up once again), I was just idly wondering about all this renewable energy business, when something struck me.


The one big downside of windmills is that the electricity they generate fluctuates too much. You can’t rely on it; the availability is neither 24X7 nor uniform. Studies in fact also show that in accommodating the more or less “random” output of windmills into the conventional grid, the price of electricity actually goes up—even if the cost of generation alone at the windmill tower may be lower. Further, battery technology has not improved to such a point that you could store the randomly generated electricity economically.

So, I thought, why not use that randomly fluctuating windmill electricity in just producing the hydrogen gas?

No, I didn’t let out a Eureka. Instead, I let out a Google search. After all, the hydrogen gas could be used in fuel-cells, right? Would the cost of packaging and transportation of hydrogen gas be too much? … A little searching later, I landed at this link: [^]. Ummm… No, no, no…. Why shoot it into the natural gas grid? Why not compress it into cylinders and transport by trains? How does the cost economics work out in that case? Any idea?


Addendum on the same day, but after about a couple of hours:

Yes, I did run into this link: “Hydrogen: Hope or Hype?” [^] (with all the links therein, and then, also this: [^]).

But before running into those links, even as my googling on “hydrogen fuel energy density” still was in progress, I thought of this idea…

Why at all transport the hydrogen fuel from the windmill farm site to elsewhere? Why not simply install a fuel cell electricity generator right at the windmill farm? That is to say, why not use the hydrogen fuel generated via electrolysis as a flywheel of sorts? Get the idea? You introduce a couple of steps in between the windmill’s electricity and the conventional grid. But you also take out the fluctuations, the bad score on the 24X7 availability. And, you don’t have to worry about the transportation costs either.

What do you think?


Addendum on 12th July 2018, 13:27 hrs IST

Further, I also browsed a few links that explore another,  solution: using compressed air: a press report [^], and a technical paper [^]. (PDF of the paper is available, but the paper would be accessible only to mechanical engineers though. Later Update: As to the press report, well, the company it talks about has already merged with another company, and has abandoned the above-ground storage of compressed air [^])

I think that such a design reduces the number of steps of energy conversions. However, that does not necessarily mean that the solution involving hydrogen fuel generation and utilization (both right at the wind-farm) isn’t going to be economical.

Economics determines (or at least must determine) the choice. Enough on this topic for now. Wish I had a student working with me; I could have then written a paper after studying the solution I have proposed above. (The idea is worth a patent too. Too bad I don’t have the money to file one. Depressing, once again!!)


OK. Enough for the time being. I may later on add the songs section if I feel like it. And, iterative modifications will always be done, but will be mostly limited to small editorial changes. Bye for now.

 

Some suggested time-pass (including ideas for Python scripts involving vectors and tensors)

Actually, I am busy writing down some notes on scalars, vectors and tensors, which I will share once they are complete. No, nothing great or very systematic; these are just a few notings here and there taken down mainly for myself. More like a formulae cheat-sheet, but the topic is complicated enough that it was necessary that I have them in one place. Once ready, I will share them. (They may get distributed as extra material on my upcoming FDP (faculty development program) on CFD, too.)

While I remain busy in this activity, and thus stay away from blogging, you can do a few things:


1.

Think about it: You can always build a unique tensor field from any given vector field, say by taking its gradient. (Or, you can build yet another unique tensor field, by taking the Kronecker product of the vector field variable with itself. Or, yet another one by taking the Kronecker product with some other vector field, even just the position field!). And, of course, as you know, you can always build a unique vector field from any scalar field, say by taking its gradient.

So, you can write a Python script to load a B&W image file (or load a color .PNG/.BMP/even .JPEG, and convert it into a gray-scale image). You can then interpret the gray-scale intensities of the individual pixels as the local scalar field values existing at the centers of cells of a structured (squares) mesh, and numerically compute the corresponding gradient vector and tensor fields.

Alternatively, you can also interpret the RGB (or HSL/HSV) values of a color image as the x-, y-, and z-components of a vector field, and then proceed to calculate the corresponding gradient tensor field.

Write the output in XML format.


2.

Think about it: You can always build a unique vector field from a given tensor field, say by taking its divergence. Similarly, you can always build a unique scalar field from a vector field, say by taking its divergence.

So, you can write a Python script to load a color image, and interpret the RGB (or HSL/HSV) values now as the xx-, xy-, and yy-components of a symmetrical 2D tensor, and go on to write the code to produce the corresponding vector and scalar fields.


Yes, as my resume shows, I was going to write a paper on a simple, interactive, pedagogical, software tool called “ToyDNS” (from Toy + Displacements, Strains, Stresses). I had written an extended abstract, and it had even got accepted in a renowned international conference. However, at that time, I was in an industrial job, and didn’t get the time to write the software or the paper. Even later on, the matter kept slipping.

I now plan to surely take this up on priority, as soon as I am done with (i) the notes currently in progress, and immediately thereafter, (ii) my upcoming stress-definition paper (see my last couple of posts here and the related discussion at iMechanica).

Anyway, the ideas in the points 1. and 2. above were, originally, a part of my planned “ToyDNS” paper.


3.

You can induce a “zen-like” state in you, or if not that, then at least a “TV-watching” state (actually, something better than that), simply by pursuing this URL [^], and pouring in all your valuable hours into it. … Or who knows, you might also turn into a closet meteorologist, just like me. [And don’t tell anyone, but what they show here is actually a vector field.]


4.

You can listen to this song in the next section…. It’s one of those flowy things which have come to us from that great old Grand-Master, viz., SD Burman himself! … Other songs falling in this same sub-sub-genre include, “yeh kisine geet chheDaa,” and “ThanDi hawaaein,” both of which I have run before. So, now, you go enjoy yet another one of the same kind—and quality. …


A Song I Like:

[It’s impossible to figure out whose contribution is greater here: SD’s, Sahir’s, or Lata’s. So, this is one of those happy circumstances in which the order of the listing of the credits is purely incidental … Also recommended is the video of this song. Mona Singh (aka Kalpana Kartik (i.e. Dev Anand’s wife, for the new generation)) is sooooo magical here, simply because she is so… natural here…]

(Hindi) “phailee huyi hai sapanon ki baahen”
Music: S. D. Burman
Lyrics: Sahir
Singer: Lata Mangeshkar


But don’t forget to write those Python scripts….

Take care, and bye for now…