Category Archives: Pure Knowledge

Getting back to blogging

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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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Magnified Universe: Cosmic Landscape in Quantum Décor

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Title and its Storyline

Why Magnified Universe?

The fabric of universe at a common level is conjectured as the structure that is directly perceived through the eye. But every scientist, and rational thinker, knows that there is more to it—more texture; more details; more interconnectivity, and thus better logical significance behind the palpable. (Just saw a philosophical take on that.) The universe we perceive as colossal and infinite might be just that—a perception.

In the boundaryless of quantum we not only see a comprehensive picture, but it is in the quantum description that we find rationality and an inter-connective significance in all that bubbles and evolves.

The infinitesimal of quantum and enormity of cosmos are the snapshots of reality based on how we decide to comprehend the nature of reality. Quantum and cosmic are both key elements, but they aren’t two different things. The fundamental forces, and their manifestations, are size irrespective. In discerning cosmic plane as enormous and vast we must account the spatial relativity set-up by our visual sense. We might be magnifying the universe. Thus the title: Magnified Universe.

Why Cosmic Landscape in Quantum Décor?

In the all-inclusive reality, quantum plane and cosmic arena aren’t two different things. Quantum principles play unhindered in the cosmic plane. Thus, the subtitle: Cosmic landscape in quantum décor.

Why the Banner?

Importantly though, I also want to say something on the banner of this blog: A human figure inserted in a convoluted rendering, with a cosmic deep field backdrop. Indeed, I quite like the image (I myself compiled it), and I think you would agree that it fits nicely with the theme of the subject, that is to comprehend an all-encompassing reality in the window of empirical observations and methodic concepts, and savor the mathematical and tangible beauty along the way. This has been a baseline banner in all my activities, in the virtual world (Facebook, Twitter, LinkedIn) or on the temporal plane (public speeches, discussions). The main reason I wanted to bring this up, however, is the show of the convoluted rendering in the banner (encompassing the human figure). I appreciatively acknowledge A. Hanson of Indiana University, the creator of this elegant graphic, for letting me use it.

FigV

In the mathematical world this rendering is known as Calabi-Yau manifold. And the reason I relish this mathematical object is because it can be seen as a testimony to the union between mathematics and physics, or the truth of mathematical physics. At a physical level, this mathematical object shows how the dimensions are sewn together in a continuum. There are endless resources on how Calabi-Yau manifold came to be, first in the landscape of pure mathematics, and then infiltrating the boundaries of physics in the scene where the picture of reality takes form.

Mathematical object

Calabi-Yau manifold Credit: A. Hanson

 
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The Gist

Over months, I have pulled up many different colors of witnessing the order of reality. Ways are endless really. And our personal attitudes do really count in the way we like to journey, or even see. Here, we have been taking routes of physical sciences, and we will continue to do so. To keep the focus of our sight and vision, it will help to leaf through the pitches I circulated, and breathe in the central argument behind each.

Here we go:

The Nature of Reality

Why this? And a little of Why me?

The Whole of it in One Single Sweep

Starting out on a journey toward seeing a full-length picture, in the methodic voice of physical sciences

Are We Able to Picture it?

Issue of blending fundamental principles with emergence of consciousness, and the question that ensues: The nature of self

The Mathematical Truth

The perfect glue in constructing an overarching picture of reality, and the underlying idea of mathematical truth

Continued in the next post…

Neeti.

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Magnified Universe: Cosmic Landscape in Quantum Décor

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The theme accentuated: continued…

In discussing over the underlying gist of the blog Magnified Universe: Cosmic Landscape in Quantum Décor we skimmed through the overall idea of how the three components are indispensable if we are to envision the truest order of reality. Those components are:

1] Cosmic observations

2] Quantum observations

3] The nature of self

Cosmic observations impart a limited range, authentic nonetheless, picture. We only see what we can see. Quantum level reading broadcast a comprehensive picture: including every bit, and factual scenarios that we do not directly perceive. It is in quantum mechanical rendering that all the elements of reality can be seen to play. All-encompassing architecture—that subsumes infinitesimal bits of atomic and subatomic particles, even strings for the believers of string theory (I support the idea totally!), molecular, macromolecular and complex biological structures, cosmic arena, the entire of the universe, and also its parallel universes—at the foundational level boils down to the sweep of matter and the forces by which matter exists.

In a nutshell there only are two constituents to dovetail in seeing one flawless scheme—matter and the forces through which matter exists. Amazingly simple task, but exceedingly hard to surmount! Simply because the ultimate picture must pick up all of the methodic observations in one fell swoop, and explain the rationality behind contradictions, such as prodigiously expanding universe in the tethering field of gravity, or the existence of antimatter.

However, there does prevail just one more vital element, executing in the overarching game of reality, admittance of which not only completes our picture of reality, it irons out perplexities of the empirical descriptions as well. That element is the ultimate nature of self. Physical Laws of the Mathematical Universe: Who Are We? not only pins down the ultimate nature of self, but extends to show its play in the all-encompassing scheme, and sharpens scientific picture along the way.

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Now a deep-seated aid at our hand in all of this! Behind the discrete show of the universe, there seeps a profound glue. A glue that interlocks disparate pieces into one compact description. We have seen it over and over, and many of us have guessed it correctly. It is the glue of mathematics. Why it comes to be that way? Simply put, mathematics is an algorithmic language that lets us read reality. Deeply engrossed in the formulas of mathematics, we forget as to what a mathematical formula actually is: the formulation of reality, or the structure of reality. Mathematics, which though at the surface is a tool to codify the interplay of discrete entities, at the most basic level is the structure of reality itself, the reverberations of which we haven’t fully figured out. Same as we haven’t all the way figured out how the universe structures and continues.

The discrepancies lurk; Inquiries linger; Bewilderment creeps.

However, the numerical language carries the highest of potentials to expose the truly real all-inclusive picture of reality, simply because mathematics crystallizes only by play of all the components. Simple to intricate examples are covered in the new title.

And it is in the deep subtleties of mathematics that we can not only pin down quantum dynamics and cosmic display, but also tease out the truest identity of self.

FigIV

In keeping with the blogging courtesy and your continual interest, I would need to take a pause here, and expand on this further in the subsequent posts.

Until then please also take a peek at one of my earlier posts to get a general idea that seeps underneath the parallelism between mathematics and the physical world.

See you soon,

Neeti

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Magnified Universe: Cosmic Landscape in Quantum Décor

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Magnified Universe: Cosmic Landscape in Quantum Décor

The theme accentuated

The underlying gist of the blog Magnified Universe: Cosmic Landscape in Quantum Décor is to envision the truest order of reality, or the uttermost flow of reality to be precise—simply because “flow” allows for continual change. Envisioning of the truest order of reality is the biggest of all questions! It is akin to piecing every single bit there is into a crisp comprehensible picture. That would be an insurmountable task. In a hilarious cartoon by S. Harris—in fact so many of his sketches are truly humorous, very popular among physicists and mathematicians, and often appear in Stephen Hawking’s popular science books—a scientist claims to have arrived at a unified theory simply by putting a box around a set of equations that described reality.

Dovetailing every piece into a whole amounts to subsuming every shred there is. From infinitesimal bits of atomic and subatomic particles, even strings (that string theory claims to be of Planck length, 10-35 meters, in size), to molecular and macromolecular structures to day-to-day objects to planets, and their satellites, to stars to solar systems to galaxies, and their clusters, to the entire of the universe (about the diameter of 93 billion light years), not to mention the parallel universes that we discern to be existing based on quantum mechanical understanding.

Oh yes, the indispensable of consciousness, awareness, and our subliminal paraphernalia as well!

Did I leave out anything? Caution me!

Accounting for all of these is a truly herculean task. We do need to shove all of it in a box, and wrap it up!

Then as I discussed in my last two posts, the perplexities that we pick up as we surf the landscape of scientific endeavors: On the beginning of time; emergence of consciousness; existence of multiverse; accelerating universe; recently, the dark matter; dark energy, and interconnectedly, the understanding of gravitational force; the dwell of antimatter. We have to account for all of this as well, meaning how they play out, or the reasoning behind their play. They are all real facts: They do need to either take role or resolve themselves out.

The unification implies just that: Seeing a harmonious picture in which all elements of reality take role, and discrepancies resolve. But even before we embark on such a journey, we need to imbue ourselves with two paramount characteristics of reality:

1] The universe is unified: Matter exists through fundamental forces such as gravity and electromagnetism.

2] The universe is uniform: Forces through which matter exists are uniform. Matter exists by same rules, anywhere.

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PostIII_Figure

After this assimilation, we can pretty much see that we as a scientist would want to see resolve any fact tossed at us into the above overarching picture of reality. Empirical observations, their disagreements, their quandaries, how we fit and continue, the mental bearings, and at a subtle level even the methodic concepts that we come to rely on, should all swimmingly be the part of the grand scheme.

If we leave scientific facts behind, the picture isn’t just fuzzy and disconcerting, it can be delusional. On the other hand, if we leave out the other elements of reality—the nature of self for instance—the scientific picture, wouldn’t be fully readable, and its perplexities wouldn’t resolve. Plainly because all the elements play in the construction of the full-length picture, again more precisely, flow. To see any kind of picture, scientific or otherwise, all pieces should be accounted for.

And those pieces are:

1] Cosmic observations

2] Quantum observations

3] The nature of self

I will continue with the theme of this blog in the next post, and also bring up the idea behind title itself—Magnified Universe: Cosmic Landscape in Quantum Décor.

Till then feel free to pitch in your views.

See you soon,

Neeti

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Just some catching up today

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Many of us who relished Interstellar also eagerly took to browsing The Science of Interstellar, a pictorially exquisite book title extended by Kip Thorne, the same scientist who oversaw the science behind the alluring storyline of Interstellar. And there are considerable bits in the book to savor on, as to why certain elements played the way they did, like the crux of gravitational anomaly in the landscape of movie, the brilliant depiction of black hole, the alleged ghost of Cooper that his daughter saw when young, Cooper’s slingshot, the notion of they that appeared in the narration of wormhole and the past-present union of tesseract, the thing depicting higher dimensional field, i.e. the materialization of tesseract—the essential scientific chunks that the movie couldn’t have covered, many wondered nonetheless. In fact I too did, with the stance of they, which turns out to be the analogy of bulk field appearing in the modern theoretical descriptions that strive to unify gravity by the way of quantum mechanics (which has been a fairly uphill task)—the gravitational force seeping the bulk, and thus the bulk (they) playing role in the anomalies we encounter at the 3-dimensional level (in the movie). I will leave it at this here. Do read it if enthused.

Fortuitously, I see just the article we need to brush up on the union of quantum mechanics and gravity: A Brush with Gravity (!). You will also see that mesmerizing display of the Interstellar black hole.

To acquaint you further with the title Physical Laws of the Mathematical Universe: Who Are We? I am leaving with you its TOC:

CoverL

Contents

  • Introduction

  • Marginalia

  • Reflections of the Universe

  • Mathematical Reality of the Universe under the Canopy of Physical Principles

  • The Voice of Transcendental Numbers

  • The Esoteric Pi(π): The Appearance of Curve

  • Boundaries of the Unfettered Universe

  • Witnessing the Boundaryless Structure of the Space-Time Landscape

  • Are We Dreaming or Awake?

  • The Arrival of Higher Dimension

  • The Culmination of Multitudinous Universes by the Sovereignty of Duality

  • The Fractional Universe: The Blanket of the Subconscious

  • Perpetually Expediting Cosmos

  • Peppered Space-Time: The Dabs of Units

  • The Conception of God by the Twist of the Human

  • Brief Notes

  •                       Discontinuous Continua

  •                                     a.        Aesthetics or Mathematics

  •                                     b.        Chaos is a Misnomer

  •                                     c.        Science and the Rest

  •                                     d.        They are Not Two Things

  •                                     e.        Entity: Discrete or Abstract?

  •                                     f.         In Words

  • Acknowledgments

  • Glossary

  • Bibliography

  • Index

  • Credits

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In The Name of Science

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In the Name of Science

I had been truly excited about the initiative I took up to comprehend and discuss the nature of an overarching reality, of which we are part, by the way of science. And although a credible number of individuals showed a true enthusiasm, I found myself somewhat dumbfounded on the prospect of seeing only a modest chunk of aficionados. I was imagining an abounding passion.

The renderings of science are often seen to be niche based. We are very familiar with reconciling mathematics and physics, although mostly for the dependency of formulating the physicality. Not them as interchangeable truths of an all-encompassing phenomenon, offering discrete ways to see a larger picture of reality. The situation is worse between other academic disciplines, such as physical sciences, biology, medicine, psychology, philosophy, even consciousness. As if they are all discrete independent truths, and not belong to an all-sweeping single phenomenon.

The niche based tightness often run between sub-disciplines of a subject too, where two interpretations from different sub-divisions are seen as independent pieces of information, and not as two aspects of the very same game. A good example to highlight this is the observed of quantum physics and cosmology. Worst still is the belief that the way we perceive the universe directly isn’t a part of the whole game, or that resides beyond the texture of science.

Having a niche appears to be more about marking boundaries rather than gathering their deft pitches toward seeing a bigger picture of an all-encompassing truth. Indeed, specialized scientific branches progress to benefit in health, better life and world order, but in not taking an overarching view, beyond specific boundaries, an along-the-way picture that emerges only from the voice of science as a whole, gets compromised.

Joining methodic alcoves toward grasping the truest tapestry just for the sake of science is slightly different, decisive nonetheless—also leisurely for many of us. So getting back to the original point- why aren’t we seeing a teeming pool of us hungry to sense the deepest order of the universe just as a pure knowledge. Here is what you will find interesting.

A survey shows that the subjects on which the top 100 most cited research papers are perched are biological techniques, bioinformatics, phylogenetics, statistics, density functional theory and crystallography. Not Albert Einstein’s relativity, or big bang, or quantum field, or mathematical symmetry and groups, all of which contributed immensely toward understanding the nature of universe, just as pure information on the fundamentals.
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I felt very sympathetic to what the last paragraph of the survey article conveys. Here it is verbatim:

Still, there is one powerful lesson for researchers, notes Peter Moore, a chemist at Yale University in New Haven, Connecticut. “If citations are what you want,” he says, “devising a method that makes it possible for people to do the experiments they want at all, or more easily, will get you a lot further than, say, discovering the secret of the universe.”      

Practical issues and way to a comfortable life, and ease at work are all great causes. The bare beauty and grandeur the universe would still lure many of us to assimilate and ponder the underlying trueness of the infinite and infinitesimal.

So I am not altogether surprised by a smaller crew on board, who cravingly seek the subtleties of the universe just for the heck of it.

Will be back soon.

Neeti.

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