Tag Archives: Einstein

Shifting Ways of Science

Interstellar. Credit: Paramount Pictures/ Warner Bros

If one falls into a black hole, what would one encounter? Well, from our recollection of the movie Interstellar—Cooper (Matthew McConaughey) ended up in a tesseract, a 4-dimensional object, via which he made it back to his own 3-D world—we would hope to plod out through a higher dimension, as if making a choice back into a familiar world. But there’s a catch—a lot of!

Tesseract is a 4-dimensional object (mathematical, so far! Helping us understand deep details in modern physics). The higher-dimension—via which Cooper connected to another Cooper (Murph, his daughter)—implies stacking of a zillion spacetime points on top of each other. Remember the bookshelf behind which Cooper stood? But accessing higher dimension also means that you be part of the higher-dimension; you be manifest as higher dimension.

Tesseract

The first catch. There would be as many Coopers, both Coopers (father and daughter), as many as the innumerable book-shelfs, the books in them, and the watch that is relaying the message to the daughter. Anything as a 3-dimensional embodiment would be presented as all spacetime points up until the current one. All past spacetime points stacked up until then; that’s how Cooper accessed the past. In that higher-dimension he had all information timeline, that’s every “time” point—more accurately as Einstein had shown “spacetime”  point—arranged discretely, from his past to his current. That many “Coopers,” though accurately put, would have given a flustered set-up, demanding more questions, as well as the associated theoretical premise. All valid, that’s how science progresses. More answers we find, more questions become apparent. The movie, although fictional, relays various significant current theoretical understanding of how spacetime manifests and flows, and all the information inherently brings up new uncharted territory of questions.

All valid, that’s how science progresses. More answers we find, more questions become apparent.

We have come unimaginably far in scientific understanding of how the universe works, and operates. But never in the past had we as many conundrums rearing their heads as we have today. From black holes, dilemmas of event horizon, dark matter, dark energy to perpetually expanding universe, its origins and parallel forms, to the spacetime unifying principles, the picture that unifies gravity and quantum depiction, and what current theoretical understanding relay, especially the mathematical ones, like string theory and loop quantum gravity. All our findings to date must fall into a single unitary phenomenon. Our quest is how? Answers to our inquiries come with a package of additional set of questions, and off we march in all directions. Healthy feat!

We have come unimaginably far in scientific understanding of how the universe works, and operates. But never in the past we had as many conundrums rearing their heads as we have today.

Following a short stint at the Antibody Society, to scientific outreach their mission and goals, I landed myself in a specialized somewhat recently founded company Quantum-Si (Q-Si). My current interest in scientific communication and outreach is part of the reason how I got here. As Q-Si prepares to launch its first-of-a-kind protein sequencing instrument, a brief overview here would help us see how we navigate the current scientific quests and find answers to inquiries that would aid research and development. Q-Si technology stems from a multifaceted scientific endeavor that involves strategic developments of pixelated semi-conductor chip, which allows the parallel processing (thus the given name “Quantum;” although not a 100 % sure that’s where the name is coming from) of miniaturized wells to read individual peptides at an amino acid level resolution. Amino acid is a molecular building block of protein, and there are 20 different kinds of them. The technology combines customizations of chip, electrical circuitry, waveguide—as in fiber optics—laser pulsation, and fluorescent signals to read biophysical interaction. Multifaceted, because the single experiment subsumes fine fields of physics, engineering, biophysics, and if you want to see too far, mathematics, to follow a biological undertaking, or knowing something that could be of clinical relevance.

Multifaceted, because the single experiment subsumes fine fields of physics, engineering, biophysics, and if you want to see too far, mathematics, to follow a biological undertaking

Only a few decades earlier it wouldn’t have been possible to carry out something as complex that agglomerates and fine tunes discrete branches in science. But in the scientific landscape we have advanced to a level where the boundaries between specialized scientific fields are hazy. Soon after joining Q-Si, I have begun to realize how important it’s to have current awareness of all basic fields in order to not just carry out a given task, but also to appreciate the beauty that can be realized only when we see the integrated picture; not just a single aspect of it. To that end, I had reached out to a Physics magazine on my desire to shape a short note titled Teach Physics to Life Science Students. Will keep you posted on how that goes. But the point is in the current science landscape it’s imperative that we have a handle of basic understanding of all core areas in order to reach further, or even to appreciate the developments.

Colliding Black Holes, 1.3 Billion Light Years Away

The detection of gravitational waves, the existence of which Einstein had predicted in 1916, in 2015 was the landmark of ultra-precision measurement in scientific experimentation. The measurement entailed detecting a sub-atomic level length change that occurred due to the collision of two black holes 1.3 billion light years away, meaning time it took for light to reach us to tell that happenstance. An arduous scientific feat was achieved. Incredible!            

The measurement entailed detecting a sub-atomic level length change that occurred due to the collision of two black holes 1.3 billion light years away

Every scientific branch geometrically expands, collide and bump into each other, and eventually, if we continue to progress, inevitably unite into a solitary landscape or phenomenon.

See you soon again,

Neeti.


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Getting back to blogging

After a pause of some two plus years, I’m inspired back into writing on this blog The Cosmic Landscape in Quantum Décor. The time sort of demands that the scientific outreach should be in some ways about things connected to the pandemic: the disease physiology; the viral mechanism; the long- & short-term impacts; the future projections; the cure development; the last, but not the least, the vaccines and its workings. In the today’s working of the world even physicist & mathematicians are pitching their intellectual skills on curbing the pandemic in ways that are novel & indeed needed. It’s an academic maneuvering how physics and mathematical tools can be utilized in contributing toward helping the pandemic. I have myself recently started working for The Antibody Society, and this is closest I came to helping toward bringing forth therapeutics or the related biological understanding. My work here involves scientific communication, liaising, and outreach, and I think there is thus some contribution, however slight, being made to the current scientific needs.

But as Brian Greene brought forth his Equation of the Day series: Entirely mathematical, and thus an outlook of physics, a premise that could be a pleasurable distraction that can bring a nerve calming comfort, at least for those who love physics, and even more so mathematics, for purely their beauty. Yes, I know you all find fascination in physics and mathematical equation just as much as in captivating words, painting, natural landscapes, and so forth. So, in coming back to my blog I would first revive all the back posts, which I wrote for their varied topics of enticing awe, while inviting us to learn something new about the world we inhabit. Most is to allure you into the beauty of mathematics, and its rendering of physics. The recent some of blog posts (will continue to post all in total of 3 batches):

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In bringing on your allurement of mathematical beauty, I want to bring in one the most fascinating equations, if not the most awe-inspiring mathematical rendition:

Eulers_Id

Stunning isn’t it. Even at a purely visual level. It’s more than stunning for ones who see the dynamics displayed in it. Foremost, it weaves five most important mathematical constants relating to each other in a single fabric. That’s what makes this tonality phenomenal. It’s as if this mathematical rendering speaks of all of the mathematics in a most short-cut form possible.

The interrelating constants:

“e” is Euler’s constant, a transcendental number (in a coming post I may say more on this) & a base of natural logarithm, which emerges naturally in phenomena innumerable like finance, exponential growth, statistical distribution, and is an inextricable part of higher-level mathematics that describes the universe we inhabit.

“i” is an imaginary unit of a complex number with property i = √-1, yet another topic of interest we might talk on in later posts.

“π” is transcendental as well, defined as, we all know, ratio of circle’s circumference to its diameter.

“1” seemingly simple but consequential in mathematical equations and understanding physical reality.

& if you rephrase to

Euler_Id2

“0”, indeed one of the most cherished constants that gives a defined order in the dynamics of higher mathematics, or any mathematics as such (we all know that).

This equation is known as Euler’s identity that directly emerges from from Euler’s formula, which relates e to sine and cosine in the field of complex numbers, devised by Euler (Leonhard Euler) himself.

I will leave it here for you to soak up on this. Leave a comment on your say on it, & I’ll write back soon.

Thank you,

Neeti.

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The Show of Total Solar Eclipse, linking Mathematics in the Context

MathFest_Talk_GraphicThe following post was published on Mathematical Correlations Blog (a little before the day of total solar eclipse), and thought of linking it here.

In keeping with the enthusiasm of the incoming total solar eclipse, I want to revive my presentation at the Astronomical Society of the Pacific annual meeting last year on this very topic The eclipse that changed the picture of the universe. Here is the abstract, and linked to it is its utube video (find in the widget area of the blog). I recorded the video after the talk, and so the discussion following the talk is missing in this video.

The Eclipse that Changed the Picture of the Universe

The distinguished total solar eclipse of May 29, 1919, gave new window to the universe. That eclipse truly stood as Einstein favoring cosmic phenomenon, authenticating his general theory of relativity; that the spacetime is conformed via gravity, upending the hitherto upheld Newtonian picture—gravity as force between masses. The bending of light due to mass that the eclipse captured reformed our understanding: from spacetime dynamics to black holes to the recently detected gravitational waves. [Video]

My recent visit to Math Fest 2017 (Mathematical Association of America annual meeting) was interesting and inciting, and there will be opportunities to discuss the sessions in detail here. Following the meeting it occurred to me that there wasn’t a talk that addressed total solar eclipse, surely would have been captivating in the spirit of all the current anticipation of the show of 21st August. I could have brought up in my own talk. And yes, mathematics can very well be seen in the context. The dynamics of total solar eclipse lets us capture the mathematics of spacetime geometry; that we call Einstein’s general relativity in physics.

I have just uploaded my talk Exposing general audience to the voice of mathematics. Here is its abstract, and the video (find it in the widget area, just following the ASP talk).

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Exposing general audience to the voice of mathematics

Under the theme of “Pursuit of Truth” at Saint Louis University I tried to shape up a TEDx talk on the subject of mathematics. From my perspective there isn’t a better subject to address reality than mathematics. Catching me off-guard, a facilitator in the rehearsal round frustratingly snapped for not to be able to follow anything. I scrambled to revamp the talk starting with plain and basic, such as squared and cubed number depictions, then moving to formulations of reality—first simpler of classical mechanics then more complex renderings, such as Dirac equation—to notice the audience cheerfully draw in into the farther intricacies of mathematics as detailed as the expressions in general relativity and quantum field. Foundational concepts and fitting analogies seems to be the key to garner enthusiasm. [Video]

A few important resources on now past total solar eclipse: NASA; Being in the shadow; Great American Eclipse. And the very recommended Sun Moon Earth by Tyler Nordgren has been worth a read by many that embarked to soak in the eclipse show.

Replies and suggestions welcome.

Hope all had rich time absorbing the phenomenon of total solar eclipse!

Neeti.

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Einstein in Fiction

Starting with the elegance of mathematics, here is an article the followers of mathematics will like—the true patrons of ‪mathematics see its reality in the deep-seated concepts.

At the Book Expo America in Chicago this year, as I explored flamboyant publishing setups and flashy book banners, an interesting title The Other Einstein caught my attention, and I was pulled in. After noting that the title refers to Einstein’s wife Mitza Maric as the other Einstein, and that the story narrates of her own potentials in understanding the ways of spacetime that Albert Einstein set forth, I became somewhat curious. I decided to meet up with the author. Even though the book itself is a novel, for it touches spotless territory of spacetime that Einstein established, the story can be seen as rather bold. Anyway, there I was, inquisitive enough to get a copy.

OtherEinstein    PostIX

As I was handed a copy, I spoke briefly with the author on fictionalizing a landscape that is so firmly established and deeply revered, by scientists and laymen alike. The author had her takes on it for the extent of fictionalization, and I was curious enough to give it a try. Fiction isn’t my usual read. Barring a very few known titles, like by Paulo Coelho for instance, I haven’t read much in current fiction. As I said The Other Einstein drew me in, first to just get a copy at the BEA, and then to read it, for the obvious reason. Not only do I have a background in physics, I am an ardent proponent of physics and mathematics for exposing the reality we live in. And for these reasons I am deeply aware of Einstein’s contributions and his legacy, so much so that for me to see that his special relativity theory is referred as being conceived by someone else—even in fiction—seems almost sacrilegious. Having said that, the story is crafted well, and once I started it I was hooked to finish. If the aim was to formulate a page-turner, the title has it.

For us scientists it might have been nicer if the extent of fictionalization was in some way hinted. To the author’s acknowledgement, this fiction weaved some of the real historical bits—time, space etc. Author’s  efforts in assimilating Einstein’s theories, and the scientific structures on which they rest, as it’s penned in the fabric of storyline, is certainly appreciable.

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But the aficionados of pure physics/mathematics, or the sincere advocates of Einstein’s efforts, aren’t probably its best readership target.

See you all soon,

Neeti.

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