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Just some catching up today

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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Grothendieck’s Deep Visions

Alexander Grothendieck isn’t a household name in academic community, and at a general level hardly anyone would ever have heard of him. Among mathematicians he dwelt as persona of profound brilliance and finesse, colored with uncanny idiosyncratic taints. Not just efficient in clearing up of the most convoluted mathematical renderings, he held clear workings of the most abstractly mathematical landscapes—of algebraic geometry and topology—and advanced them to the level of fathomable depictions for us all.

As in many cases in the modern history, his deep mathematical insights seemingly came with a price. Apart from deep-seated crannies of complex mathematics, he, seemingly by choice, remained mostly disconnected from anything in the rest of the world, even the simpler branches of mathematics.

I read somewhere an anecdote about him on prime numbers, which he chose not to be worthy of attention. He apparently addressed, hopefully unwittingly,  number 57 to be a prime number, which it isn’t (it factorizes to 3 and 19, and is thus not a prime number). Since then in mathematics community 57 is referred as Grothendieck’s prime.

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Neeti Sinha

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