2-d Meditations in our 3-d world

T’was a week-end that I was looking forward to. Which meant I looked forward to sleeping in. The son, however, has an internal alarm that seems to work contrary to social expectations.


Anyway, the point is, the son came up bright and shining. I lifted my tub from the covers and moaned from under the covers at his exuberant greeting. Hmmm….Hmmm…..AAAyyynnsnjsjfhsjfh!

He bustled into the room carrying a suspicious looking questionnaire. Just as I thought, the blasted thing turned out to be a Physics quiz that started with the question:

“What holds the quarks together in the nucleus of an atom?”

Luckily I knew the answer to that one (gluons), but it went downhill from there.

By the time we had arrived at the last question, my weak force was battling with the gravitational forces holding me down on the bed, and I sprang out in one gravity defying leap showing a strong force I did not think I was capable of, and hustled the little fellow and the husband out on a hike. If I was going to survive any more Physics quizzes on quarks, I needed to get my spark. 

The discussion on his favorite topics led us to the fascinating topics of dimensionality, and I told him about a particularly fetching piece on Flatland geometry in the book, How The Universe Got Its Spots – By Janna Levin.

Flatland is a fascinating piece of work written by Edwin Abbott Abbott in 1884. He imagines a two-dimensional world in which all occupants are lines, flat shapes or circles, and also examines a social construct with this premise.  (People with more number of sides occupy a higher social position, with priests being circles. In Victorian times, women had no ways and means to careers, and therefore were represented as lines in that universe.)

https://www.youtube.com/watch?v=-wv0vxVRGMY (Carl Sagan explains flatland)


That day on the hike, we went up and down the hills in the beautiful three dimensional world we live in, discussing what it would be like in Flatland.

In our everyday lives, rarely do we stop to think of flatland fantasies, and when we do, it is all the more magical. I mean how would a sunset look in Flatland? What would a sunset look like if we were in 4 dimensional worlds? Is our entire existence just us passing through this 3 dimensional world?

The gluon quiz master was, in the meanwhile, practicing his martial arts as he spurred himself through the hills, chipping in here and there, while listening fascinated to the Flatland theories. “Umm…Wonder whether that happened to Ant-man when he went into the quantum world.”

Wandering along by the waterside, watching the wind rippling the waters, and rustling the leaves in the trees nearby, it was beautiful indeed to occupy oneself with thoughts of how a wind would be in Flatland: maybe it would be like an earthquake to 3-dimensional creatures such as us. Maybe our cosmic upheavals are the breezes of the 4th and 5th dimensions. Who knows?

“Imagine, if you were an orange, trying to pass through the two-dimensional world.”

You could only see a dot as it touches the surface, and then a circle as it passes through flatland, a circle that gets bigger and bigger, and then recedes in size. Smaller and smaller till it becomes a point again and then disappears altogether.

Just as an orange cannot ‘get up’ from the 2-d world,   we cannot flit in and out of our 3-d worlds. But imagine if we could. If we could give ourselves the gift of perspective (that is another perspective –nature and our vast cosmos give us a fair sense of perspective already, if only we care to look and reflect of course)


I am sure scientists who are spending their entire careers contemplating questions such as these are far more qualified to answer, but the very act of thinking seems to be a marvelously magical act. We admired our fellow creatures on our 3-dimensional walk in the hills: The geese, pelicans, seagulls and hawks.

Does a laugh in Flatland cause ripples? Do our laughs cause the butterflies to flit?

“Here is a joke for you”, I said on  the topic of laughs in inter-dimensional space. “What do you call a seagull that flies over a bay?”

“A Bagel – get it?” (a colleague’s joke!)

The joke was met with moans and laughs alike.

By that same extension, are all our lives just us passing through this 3-dimensional world? Where does Kung Fu Panda meet  interdimensional Physics and the Tao of Being?

I shrugged my 3-d shoulders. How quickly the contemplation of the physical world morphs into the philosophy of being? How easily our thoughts can become magical?  

Philosophers & Tinkerers

I picked up the book Black Hole Blues by Janna Levin partly because I was intrigued by the poetic title, and partly because I like reading about our dear Cosmos, and its many mysteries. The skies have given me endless joy, peace and continue to do so, even though light pollution in our suburban areas mean that we cannot see the stars, planets and stars as clearly.


Excuse me for a while, while I meander to a black hole of my own for a moment: I was appalled to note that a Russian startup intends to sell advertisements that can only be visible in the night sky. Are our products so important that we have to dwarf the shows the Cosmos puts up every night to sell toothpaste and whatever gawd-awful thing we contrive in our numerous factories? (I have a post clamoring and rattling in the brain waiting to get out on the number of contraptions that folks felt I must have, or I myself felt I must have, and now occupy valuable shelf-space in the home somewhere.)

Climbing out of the black hole then, the cosmos has given me endless joy and I indulge in dipping into its mysteries every now and then. What surprised me about detecting gravitational waves is the immensity of human endeavors. Theorizing and coming up with the supporting Mathematics to validate the concept is in itself a phenomenal achievement, but conceptualizing an experiment of such magnitude as to detect a stirring as faint as gravitational waves emanating when two black holes collide millions of light years away is astonishing.

As Janna Levin says, it is a project to fulfill a fool’s ambition.

“An idea sparked in the 1960s, a thought experiment, an amusing haiku, is now a thing of metal and glass.”
― Janna Levin, Black Hole Blues and Other Songs from Outer Space

The LIGO (Laser Interferometer Gravitational-Wave Observatory ) is astronomical in scope and dimensions. Janna Levin’s book takes us into the human dramas and the corridors of Caltech and MIT where much of this played out. While I did feel the flow and structure of the book could have been more crisp, and less about the human politics that plague undertakings such as these, it was nevertheless interesting.

As I read, I was amused at how humans unfailingly bring drama into our existence. At the altar of Science, many have sacrificed their egos, had their egos bruised, and have propelled or obstructed the flow of Science, but like a river it flows on and hopefully propels our understanding forward, not always cognizant of the applications of Science (One of my favorite sayings of Ursula K Le Guin:

When you light a candle, you also cast a shadow).

After the monumental setbacks and roadblocks along the way, it is a satisfying end to the book that the experiment finally paid off. Twice, it detected Gravitational waves as they passed through the Earth from the collision of two massive black holes millions of light years away.

(Image tweeted by @LIGO)

We do not yet know how this will change our understanding of the Universe, and its applications, but we can be rest assured that both are underway. We have come a long way from the Sun God riding the sky every morning on his chariot, though I am reading a fascinating book on this very myth at the moment.

Human-beings are philosophers and tinkerers at the very core, are we not?

Also read: Cranes of Hope (Essay of the Value of Science by Richard Feynman with A Thousand Paper Cranes by Eleanor Coerr).

The Queen of Espirit d’escalier

One cold January morning, I clutched at my tea for life giving support. I was sitting through the kind of gathering that happens across Corporate America when a calendar year rolls over. Executives suddenly pep up, and sit up looking important, and feeling purposeful. Like a pup in spring, who thinks he can play with the ball if only folks would toss it instead of gadding about.


I sometimes like to watch these events. The actors change every so often, and the ones who remain have subtle changes in their motivations and ambitions too. The varieties of personalities we surround ourselves with is an ever fascinating experience, and we only really have the luxury of sitting back and watching occasionally. I suppose that is why the Dalai Lama is full of the milk of human kindness – he meditates, and observes.

Anyway, the gathering reached a place where credits were rolled and I noticed happily how people brightened when they were given credit for their work. It is true one should do the work without expectation of the reward, but how nice it was to see people get the credit where it is due. The meadow suddenly seemed spotted with frisking happy pups.

There was an amusing interjection when one team was accidentally left out of the credits, and claimed what was their due.

I smiled to myself thinking of this normal human tendency to crave recognition. We all do it. Just the other day, I bragged about how clean the kitchen floor looked: ‘gleaming like glass’ as I said, till I was reminded by the family almost gleefully that I had better stump it given that I had to clean up the glass I had broken, and therefore ‘gleaming like glass’ doesn’t really count.
“I am neither Jocelyn Bell Burner nor Alfred Russell Wallace. When I clean the floor, I want credit! “ is the quip that I would have liked to come up with.

But I didn’t.

I came up with the inelegant, “Well…I am eating the potato fry then!”, and stuck my tongue out at the children.

I am a queen of that phenomenon where you think of the perfect verbal comeback too late. I was delighted to note there is a word for that: Espirit d’escalier.(Wiki Link for the word, Esprit De Escalier) The link writes about the amusing origins of the word, please read it.

Where am I going with all this spirited Espirit d’espalier, potato fry stuff? One moment. Yes, Credit and Work and Meaning and all that.

Sitting there at the corporate meeting, and watching the team claim credit for their small part in the puzzle, I was reminded of Jocelyn Bell Burner and Alfred Russell Wallace.

Wallace, independently arrived at natural selection for the mechanism for evolution before Darwin did, but he jointly published the paper with Darwin. Darwin’s Origin of Species is vastly credited with the theory though. Did that make Wallace spout and keep the potatoes? No, he continued to travel the world, writing about injustice and social causes. He never stopped exploring or lost the joy of wonder or ceased writing on the causes that deeply appealed to him.

Jocelyn Bell Burner is another scientist whom I find admirable for this very reason. She was passed over for the Nobel Prize. Credited with detecting the first Pulsars in the universe ( she should have been a Nobel Prize recipient for Astrophysics in 1974). When asked how she felt that her Professor got the prize, and did not adequately exert himself to get her name on the nomination, she shrugged and said, “If you get a prize, it’s not your job to explain why you got the prize. ”

I read about these two stalwart scientists in the books, Lands of Lost Borders by Kate Harris and Black Hole Blues by Janna Levin. Every book teaches us different things. Even queens of Espirit d’escaliers can find a way to come back with Jocelyn Bell Burner & Alfred Russell Wallace and their phenomenal attitude towards recognition as it related to their work.


It makes me realize now what my stellar teachers were saying on those cold Assembly mornings when they dangled tantalizing pieces of wisdom in their morning speeches.

Bhagawad Gita on work without reward

Karmanye Vadhikaraste, Ma phaleshou kada chana,

Ma Karma Phala Hetur Bhurmatey Sangostva Akarmani

कर्मण्- ेवाधिकारस- ते मा फलेषु कदाचन।

मा कर्मफलहेतु- र्भूर्मा ते सङ्गोऽस्त्- वकर्मणि॥

Loosely meaning: Do not anticipate fruits while doing the labor, this was oft quoted by teachers trying to inculcate the importance of work.