Pale Blue Dot

Pale Blue Dot is a photograph of the planet Earth taken by the Voyager 1 space probe. In this photo, which was taken from 3.7 billion miles away, the Earth (the blueish-white dot on the brown band on the right) is just a pixel.


Below is an excerption from Carl Sagan’s book ‘Pale Blue Dot’. This is one of the most beautiful paragraphs in scientific writings I have ever seen. If I read his book when I was a student, perhaps I decided to be an astronomer.

Look again at that dot. That’s here. That’s home. That’s us. On it, everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives. The aggregate of our joy and suffering, thousands of confident religions, ideologies, and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every “superstar,” every “supreme leader,” every saint and sinner in the history of our species lived there–on a mote of dust suspended in a sunbeam.

The Earth is a very small stage in a vast cosmic arena. Think of the rivers of blood spilled by all those generals and emperors so that, in glory and triumph, they could become the momentary masters of a fraction of a dot. Think of the endless cruelties visited by the inhabitants of one corner of this pixel on the scarcely distinguishable inhabitants of some other corner, how frequent their misunderstandings, how eager they are to kill one another, how fervent their hatreds.

Our posturings, our imagined self-importance, the delusion that we have some privileged position in the Universe, are challenged by this point of pale light. Our planet is a lonely speck in the great enveloping cosmic dark. In our obscurity, in all this vastness, there is no hint that help will come from elsewhere to save us from ourselves.

The Earth is the only world known so far to harbor life. There is nowhere else, at least in the near future, to which our species could migrate. Visit, yes. Settle, not yet. Like it or not, for the moment the Earth is where we make our stand.

It has been said that astronomy is a humbling and character-building experience. There is perhaps no better demonstration of the folly of human conceits than this distant image of our tiny world. To me, it underscores our responsibility to deal more kindly with one another, and to preserve and cherish the pale blue dot, the only home we’ve ever known.

Collaboration

Mathematicians are working together. Mathematicians are connected with other mathematicians, even with the outside of the mathematical world. We are not lone wolves.

Below is a graph describing my collaborators (purple circles), my undergraduate collaborators (yellow circles), and collaborators of my collaborators (orange circles). You can see that already more than 80 people appear. It is also very astonishing that their research expertise is very diverse. I could see commutative algebraists, topologists, analysts, people working on quantum theories…

(updated 7/31/2019)