Tag Archives: mathematical truth

True Beauty Resides in Fundamentals

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As I had mentioned, here is my write-up on the Archway Publishing Blog, on communicating complex scientific ideas. I was excited to bring in the Riemann Hypothesis to point out a elaborate mathematical complexity that is just as visionary and captivating:

Translating Complex Science for a General Audience

The last few posts were dedicated to gear us on the total solar eclipse that is approaching in our sight. The excitement among the educators, eclipse chasers, and anticipators is palpable. I had mentioned the veritable organizations and devoted scientists/educators (1, 2, 3, 4) that remain in full swing in disseminating the information and advice to spur on the audience from all backgrounds. The sight of a total solar eclipse is phenomenal. (I am told by those having savored it first-hand, I haven’t seen it myself. So despite my truly appreciating the fundamentals behind this cosmic display, I am looking forward to it as any other enthusiast.)

Although the cosmic and worldly wonders captivate us, it is the peek into the fundamentals that ticks enthusiasm, and keeps it alive. ASP (Astronomical Society of the Pacific) annual meeting presentations are uploaded, and you can find mine on fundamentals by the window of total solar eclipse there (the video of the same). Whether talking of gravitational waves, Einstein’s theories of relativity, hidden black holes, the origins and the acceleration of universe, the enigma of dark matter and energy, or the spectacle of total solar eclipse, at surface they all stir up wonder, but the real lure lies in the fundamentals that help us visualize how things shape up—and appreciate the true beauty.

When it comes to methodic delineation even beauty has fundamentals behind it. How much we have figured that out is a different issue. This brings up a narrative book A Beautiful Question compiled by a renowned physicist Franck Wilczek on the conception of beauty and the forces it embodies. (I am just finishing reading it.) With big chunks of basic facts, and on laws governing the universe, the text unfolds the cast of beauty that seeps the natural world, and how reality and beauty can be seen synonymously. Written with ethereal tone, it is informative and enjoyable read for audience from all backgrounds.

Disseminating deep-seated scientific formulations and complex theories to all audience isn’t very straightforward, mainly for the fact that it’s in these very intricate renderings that the true sense of beauty can be sniffed. It is where an educator enthralls, and a scientist draws in. The play of symmetry in quantum mechanical enactment or deep views of mathematical physics is one such example. Simplifying beyond a point would necessarily dampen down on beauty, and in a way mutilate the truth.

I have been in touch with friendly staff of Archway publishing with the hope of writing a post on their Writer’s Blog. The post had to be on the process of writing and publishing. Disseminating scientific advancements to general audience seemed an appropriate topic, and I recited some of my thoughts on communicating intricate concepts of physics and mathematics without taming the aesthetics—A demanding thing. The post should be out soon, and I will let you know.

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Whether abysmal structure of the universe, the abstractly play of quantum field, the order of nature, or the subliminal sense of aesthetics, in the core of all resides the commonality of mathematical voice. And I am always looking for opportunities to communicate on this very aspect of mathematical truth. To that end I have just started writing on Science Blog site, under the title Mathematical Correlations. Take a look and let me know your views.

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Scientific, educational, pedagogic, and creative aspects of mathematics blend in MAA (Mathematical Association of America) annual meetings. This year it is held in Chicago, and I am hoping to speak on how to entice non-mathematicians into mathematics, especially those that are apprehensive of the subject.

I am happy to see Facebook visitors, and appreciate their stopping by for scientific nuggets.

See you all soon.

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.

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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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The Mathematical Truth

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                Mathematics portraying reality isn’t a new insight. We have been sensing it ever since the preliminary structure of mathematics, and their formulations, appeared. Over time, as the language of mathematics evolved, the understanding that mathematics reflects the reality of universe immensely sharpened. From its practical utilities to its guidance in formulating the reality of space-time, the representations of mathematics seem to pitch the most accurate information about our universe, many of which we hadn’t have known if we hadn’t accustomed ourselves with the mathematical tone. That is why the prevailing notion: “Mathematics is a language that is discovered rather than invented.”

                The idea of mathematics depicting truth doesn’t point to the counts appearing in everyday life and universal organization, or numerology. It plainly says this: The way mathematics arranges is identical to the way universe structures. This holds true, whether we talk of simple arithmetical depictions or complex algebraic formulations—the ones by which we have learned some of the hidden meanings of the universe.

We can start out with messages at a very basic level:

The square and cube of a number imitate the 2-dimensionality and 3-dimensionality of the real world. The example of 3:

MathUni

                Want to know how universe arranges itself in even higher dimensions—that current findings and theoretical models are pointing to—ask mathematics:
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Image credit: A Hanson, Indiana University

is one example.

 

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