Wednesday, April 7, 2021

శంకరార్పణం - 3686

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శంకరాభరణం సమస్య - 3686

“తిట్టెడివారి కెల్లరకు దీవెనలిమ్ము శుభమ్ముఁ గోరుచున్”








రట్టును జేయగా మిగుల రాక్షసి వోలుచు తిట్లతోడనున్

గట్టిగ జుత్తు పట్టుకొని గాభర నొందక లాగి తెచ్చుచున్

పట్టుకు వచ్చి నాకడకు ఫక్కున నవ్వుచు నత్తగారినిన్

తిట్టెడివారి కెల్లరకు దీవెనలిమ్ము శుభమ్ముఁ గోరుచున్








(కంది శంకరయ్య గారి సౌజన్యంతో)


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Tuesday, April 6, 2021

Tides - 4

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"Time and tide wait for no man"...Proverb



There is a tide in the affairs of men
Which, taken at the flood, leads on to fortune;
Omitted, all the voyage of their life
Is bound in shallows and in miseries.
On such a full sea are we now afloat,
And we must take the current when it serves,
Or lose our ventures. 


...Shakespeare



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Tides are periodic bulging and shrinking of seas.

In the high tide sea level rises, and the sea floods the beach.

In the low tide the sea recedes far away from the beach.

High tides and low tides occur twice a day one followed by the other about six hours apart.

Thus there are two high tides and two low tides alternating every day.

High tides at times can be very impressive.

One night I was walking back to my home in Krishna Nagar by the road in front of the RK Mission in Vizagh.

There were no street lights and it was pitch dark...maybe New Moon (Amavasya).

Suddenly I found my feet wet. And I realized that the sea had swallowed the beach entirely, jumped over the low embankment in that spot, and was trying to swallow the road as well...like a hungry cobra.

And I had to take a non-existent sidewalk and cling to the trees and bushes and inch my way forward through those patches...not to get wet or lost...


At places where a river joins the sea, and the river's mouth narrow, the sea in its high tide can flow back vengefully into the river, reversing its course, and flooding its embankments far far into it. 

That is the Tidal Bore in rivers.

The leading edge of the bore is highly visible like a traveling hump.

This is a common enough occurrence in the river Hooghly by Calcutta....the bore having traveled inwards all the way from Ganga Sagar maybe.

The tidal bore can at times be so high that it could devastate the small boats sailing under the Howrah Bridge.

And then travel to Dakshineswar where Sri Ramakrishna Paramahamsa would be waiting on the bank with his team of followers in order to watch it. His abode was by the river Hooghly which he used to call reverentially: "Ganga".

And also scare the monks of Belur Math on the other bank:


https://timesofindia.indiatimes.com/videos/city/kolkata/watch-high-tide-causes-panic-in-belur-math-in-west-bengal/videoshow/68558540.cms


https://www.youtube.com/watch?v=C6XdTxyUH68


World's highest tides (about 50 feet) are seen in the Bay of Fundy (Nova Scotia):


Twice each day, 160 billion tonnes of seawater flow in and out of the Bay of Fundy — more than the combined flow of the world’s freshwater rivers! The Bay of Fundy’s tides transform the shorelines, tidal flats and exposed sea bottom as they flood into the bay and its harbours and estuaries.


https://www.youtube.com/watch?v=OP0cpXpw8yk


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Tides are complicated events. Their size and extent depend on the longitude, latitude, lay of the shore, seasons, and rivers flowing into the sea...

But science can now predict their timings fairly accurately...unlike earthquakes, tsunamis, and Didi's tantrums.

This is because tides in our seas are due to an interplay of the combined gravities of the Moon and the Sun.

In a sense they are the highly visible terrestrial events due to celestial bodies.


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In our university physics we heard of two pinnacles of precision:

1. Astronomical

2. Spectroscopic


1. Astronomical:

For instance we learned that medieval astronomers tracked the movements of planets over centuries accurately and recorded them. Copernicus used them to propose his heliocentric theory (planets, including our Earth, move around the Sun rather than the other way round) and so destroyed the primacy of our Earth, its pundits and politicians. Newton used his 'Inverse square Law of Gravitation' to account for the intricate motions of planets due to their mutual gravitational interaction, called perturbations. And predicted the next arrival of the Halley's Comet accurately. That was his crowning glory.

But Newton's Gravity Theory failed to account for a tiny tiny tiny anomaly in the motion of the innermost planet, Mercury, difficult for us to see unaided in our lifetimes, mostly due to the arrival of electricity and sky lights :)

Mercury was found to revolve around the Sun in an elliptical orbit (as predicted by Kepler and derived by Newton). And due to perturbations of the gravity of other planets, its orbital ellipse slowly slowly slowly rotates like in a rosette pattern.

Most of this precession of the perihelion of Mercury could be accounted for by Newton's Gravity Theory, except for a wee amount that came to be correctly calculated two centuries later by Einstein's Gravity Theory (wrongly called The General Theory of Relativity).

How tiny was the discrepancy?

It is mind-blogging (I had checked Einstein's calculations and gave them out as an MSc Project...along with the two other classical tests of Einstein's Theory):

It was 43" of an arc per century (hundred years)!

One second (") of an arc is 1/60 of a minute ('). One minute of an arc is 1/60 of a degree (deg). And a circle has 360 degs (when I heard last). 

How the hell could the Middle Age Western Astronomers measure and record it (while our Kalidas was busy writing his Meghdoot, as lovely a thing as any)?


2. Spectroscopic:

We had 6-hour labs in our Spectroscopy in our University at Waltair.

In our MSc Exam in 1963, for appearing in this lab, we had to wake up early to catch the first bus and reach the Lab by 7 O' Clock. And then for all of 6 hours we were stuck there (no coffee-breaks).

Most of those experiments involved taking emission spectra of carbon, copper etc sticks when they were lit up by arcs.

And we measured the wave numbers (frequencies) of the spectral lines we recorded on our glass plates (developing them in our dark room) using 7-figure log tables (4 figures were no use...not accurate enough).

That meant that the good old spectroscopists measured spectral lines of various elements and recorded them accurately to seven decimals (that was called 'Term Zoology' for fun, and youngsters like Heisenberg who invented Quantum Theory had it at their finger tips).

The latest measurement of the 'Fine Structure Constant' has an accuracy up to 14 figures!

Like "pi" was taught us to be 22/7, this 'fine structure constant' was first measured to be 1/137 and led to many hilarious "Magic Number Theories", all wrong.

It is nothing so simple. Its value a decade ago was:


The team in Paris measured the value of the fine-structure constant as 1/137.035999206, to an accuracy of 11 digits. The result appears in a study published in Nature.


And it agrees fairly well with the super-duper-hyper computer calculations of the Quantum Electrodynamics popularized by Richard Feynman.

Phew!


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To be Continued


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శంకరార్పణం - 3685

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శంకరాభరణం సమస్య - 3685

“సాఁకఁగ లేక బిడ్డలను సాకులఁ జెప్పెడి వాఁడె భర్తయౌ”








తేకువ మీర పెండ్లిగొని తీరిచి దిద్దెడి సాఫ్టువేరునన్

ప్రాకట మొందినన్ సతిని బంగరు బొమ్మవు నీవటంచునున్

వేకువనందు లేచి కడు ప్రీతిని బోవుచు మందు కొట్టులన్

సాఁకఁగ లేక బిడ్డలను సాకులఁ జెప్పెడి వాఁడె భర్తయౌ!








(కంది శంకరయ్య గారి సౌజన్యంతో)


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Monday, April 5, 2021

Tides - 3

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My first encounter with tides was hilariously humiliating.

It was a bright sunny winter morning in Vizagh with not a speck of cloud in the sky.


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Well, there, I am exaggerating. Bright and sunny is ok...but not 'winter'.

There is no winter either in Vizagh or Muthukur or any other south Indian coastal town. It is either 'hot and humid', or 'rainy and humid'.

The only woolens I saw in my school days in Muthukur were two.

1. My Nagpur Auntie brought what she called a 'woolen sweater' that she had knitted as a gift to my father. It was not a pullover, nor a turtleneck, nor a cardigan. It was like what we now call a T-shirt (without 'slogan'). Father wore it at once to show it off to Auntie, but grimaced, and took it off, saying: "Beautiful! Beautiful". He never wore it saying it was too hot and 'sweaty' (Humpty-Dumpty of Alice would say that is why it is called a 'sweater').

2. His uncle "Kashi Mama", who was a practicing 'Giant Panda' in Varanasi brought what he called a "బూర్నీసు" (rough cheap red woolen blanket) as a gift to his fond nephew. Father never used it...saying he was allergic to wool and the 'rug' was itchy.

And none of our classmates and friends in Vizagh ever wore sweaters, or shoes, or socks, or monkey caps, forget about rugs and rajais.

All this stuff I got to see first in Kharagpur. 

There I found the hands of most of the ladies of my North Indian friends always busy while sitting in front of TV or in a cricket stadium. They had balls of wool on their laps and were busy knitting pullovers for their pathetic hubbies and kids, while chatting away with their friends.

Once there was this musical performance in our Faculty Club at KGP. As usual I went late to the hall and found all chairs occupied by ladies while their hubbies were standing in the verandah gabbing and smoking. I found my friend Bidhan Mohanty standing behind his wife dutifully; and joined him. Mrs Mohanty was sitting on a chair in the last row, knitting a sweater for him (and listening to the music 2-in-1).

And I whispered in Bidhan's ear: "Your wife reminds me of Madame Defarge". 

And he burst out laughing. He had read his "Tale of Two Cities" which was all about the French Revolution:


The knitting represents the start of the Revolution. Madame Defarge knits a "Hit List" all day in the wine shop which serves as a list of people the Revolutionists must kill during the Revolution. 


Mrs Mohanty turned back and both of us shut our traps like a couple of turtles withdrawing into their shells:


यदा संहरते चायं कूर्मोऽङ्गानीव सर्वश: |
इन्द्रियाणीन्द्रियार्थेभ्यस्तस्य प्रज्ञा प्रतिष्ठिता ||


One who is able to withdraw the senses from their objects, just as a tortoise withdraws its limbs into its shell, is established in divine wisdom.


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Anyway it was a bright sunny cool morning in Vizagh. There were only 7 such mornings there in the whole year (starting Christmas and ending New Year), when one would love to sit down for a couple of hours in the sun and enjoy his sunbath.

I looked out from my window and found the sea as still as a millpond. No roar...just a hum. No waves. No huge breakers. And the water sparkling like a million jewels reflecting the sun.

I picked up my copy of "Man-Eaters of Kumaon" and walked down to the beach and to a rock just beyond the Scandal Point. This rock was about 7 feet high and had a flat perch on its top, ideal for sitting down and reading...my favorite haunt to escape the madding city crowd.

The beach was vast with the sea far away to about 50 feet.

I got up, sat, opened my novel and started reading it. It was about 10 in the cool breezy morning.

And I got completely lost in the charming world of strange and melodious names: 

Chamoli, Champawat, Haldwani, Devprayag, Rudraprayag, Pithorgarh, Tanakpur, Almora, Naintal, Tehri Garhwal....

Two hours passed by and I was through.

And I wanted to get down the rock and go home.

But found that my rock got submerged meanwhile to a height of about 5 feet by swirling sea water that must have encircled it in a silent embrace meanwhile.

There was no way I could jump into the water without getting fully drenched...pant and shirt.

Moreover I was not fully aware of my bearings...I may slip and fall down and get dragged into the sea. 

The edge of the beach was now about 20 feet away.

Luckily I spotted a few fisherman sitting and knitting their nets on the beach close to the road.

And I shouted and flailed my arms in a desperate gesture that must have been familiar to those smiling fishermen. 

One of those kind souls waded into the water and reached my rock. And stood by it and asked me to get up his neck, hang my feet round his chest, and hold his head firmly.

He knew every inch of the beach like the back of his palm.

And then he waded back to the shore with the precious load on his shoulders.

And bent his head down and asked me to jump off and get lost.

I paid him all of ONE rupee (good enough for a plate of upma, a dosa, and a plate of four poories with free side dishes of chutney, sambar and curry; and a cup of coffee to top them all,  in the Ajanta Hotel).

And I walked glumly back to the RK Mission Bus Stop, boarded a Sputnik Bus #10 and reached home wondering what happened to me and why:


"I wonder why.

I wonder why. 

I wonder why I wonder

I wonder why 

I wonder why"

....Feynman


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There was no Google then; nor an Encyclopedia Britannica that I could lay my hands on.

But I guessed I was caught in what I heard was a "high tide"

And since then tides fascinated me and the more I wondered the more they became mysterious, till I reached IIT KGP...and got the hint from Prof MS Sikand...Glory Be To Him...


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To be continued


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శంకరార్పణం - 3684

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శంకరాభరణం సమస్య - 3684

“జముననుఁ జూడఁగా విజయశాంతి లభించె జయప్రదమ్ముగన్”







తములము వక్కనున్ నమిలి దండిగ నుమ్ముచు వీధివీధులన్

కుములగ శత్రువర్గమహ కూడుచు మేలు ప్రయాగనందునన్

కమలపు గుర్తుపై నిడుచు కమ్మగ వోటును చేరి గంగనున్

జముననుఁ జూడఁగా విజయశాంతి లభించె జయప్రదమ్ముగన్


జమున = యమునా నది








(కంది శంకరయ్య గారి సౌజన్యంతో)


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Sunday, April 4, 2021

Tides - 2

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"And once in a while, with a friend, I would walk on the beach towards that Dolphin's Nose southwards for a couple of miles. And land up right on the banks of the narrow creek into which the sea flooded inwards to the port. It is through this creek that the rivulet "Narava Gedda" joined her spouse, the Bay of Bengal."


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I was talking about our escapades on the Vizagh beach in 1958. 

After night meals I used to take a 5-minute walk down our Maharanipet home to that fond beach.

And then watch the heavily barricaded "Naval Battery" Compound. Once in a while they used to switch on their floodlights with their parabolic reflectors casting a brilliant parallel beam of white light right on the sea to a mile or more, catching a ship anchored there waiting for days for a vacant berth at the port ahead.

Legend had it that the sea there saw 'action' during the Second World War:


...Later, Japan sent an aircraft-carrier and two of its fighter planes around 8 AM on April 6th. Sensing danger, the sirens blew and the people of the town who were already given a drill in case of eventualities ran for shelter. The planes after a few rounds of scouting disappeared, Vizaghites were relieved.

But the planes returned back again around 1 AM, and this time they came in two plus three attack formation and started pounding the coast. But the moment they tried to enter the port area, the American ships stationed there opened up their famous `Bofors’ anti-aircraft guns in staccato. The retaliatory fire, combined with the natural protection of the hills on all three sides, did not allow the planes to have a peep at the inner harbor, and had to abort their mission...


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On a sunny winter morning my friend and I would walk down to the beach and head northwards away from the Dolphin's Nose.

A mile or so later we would reach the "Scandal Point" (never could decipher what was so scandalous about it).

That Point was marked by a rock on which was perched a concrete column about 6 feet tall.

And at the base of that column there was just enough space for seating a scandalous couple.

Away from the beach facing it was the landmark "Ramakrishna Mission Temple" with its renowned 'Aratis' at sundown. The road ended a few hundred meters then on.

Walking further on the beach northwards there were no buildings then across the beach...unlike now. It was a stack of clayish dunes all the way up, to our Andhra University Buildings.

Walking a couple of miles further north on the beach we would reach a bend in the sea where it took a circular turn deep into the land, forming what was famously called: "Lawson's Bay" (Lawson who?)

That was a bay within the Bay of Bengal.

And the sea there was always like a vast placid swimming pool. Great for bathers and swimmers.


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Resting for half an hour on the beach there and watching the Lawson's Bay, we dared not walk further north.

Reason was that it ended in a deep jungle going up a tall uninhabited hill (now called Kailasa Giri) reputed to be abode of tigers once upon a time.

So we crossed away from the beach into the land and reached the "Shanti Ashramam"...a few buildings nestling among groves of a casuarina ('singing' trees).

Walking further up by the footpath we found bushes of "screw pine" (మొగలి)

Further ahead were long barracks of Vizagh dhobis (including our own Manikyam's).

Walking further on we saw a circular patch of gently sloping hardened sand at the center of which was a pole with a red flag fluttering in the sea breeze.

That was a mystery to us then...now I know it as a golf course hole into which lucky golfers putted their balls once in a blue moon.

And finally we landed up in a pucca road in what was called: "Waltair Uplands"

All those are gone now...("now" means 1997 when I visited Vizagh last :)

Kailasa Giri is a tourist place with a stair case and a cable car to boot.

And those golf courses and dhobi ghats and screw pines gave way to a booming posh township called:

MVP Colony (Muvvala Vani Palem)


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Walking up the Waltair Uplands road we got to the Out-Gate of our Andhra University.

And right in front of it was a hillock with a footpath leading to the "Kirlampudi Hostel" famous abode of Frustrated Research Scholars (FRS).

From there the roaring Bay of Bengal once again surfaced into our view.

At the Out-Gate we take the "City Bus No 10" (charmingly called 'Sputnik' for the roundabout route it took).

Had we taken any other city bus like #1 or #2 we would go straight by the Main Road to the Harbor-end of Vizagh...the  other bus terminus called "Old Post Office".

And we had to get down at the other end of the KGH Hospital Hillock and walk up it (tiresome).

So Bus No 10 was invented to take a left turn ahead of the University, go downhill all the way to the Ramakrishna Mission Temple, take a U-turn around it, and go up again....reaching the Maharanipet Junction (where our home was for 2 years).

And then we shifted to the nearby Krishna Nagar where I had a room on top of a hillock facing the Bay of Bengal.

And a chair and table pushed against a window where I could sit and watch the roaring sea day and night...and dream...and read seaside stories like in Hemingway's "Old Man and the Sea", and Conrad's "Victory" (our prescribed 'novel' in Part I English).

No wonder I didn't get to study the hated Math and Chemistry tomes...missing thereby coveted medals and prizes (despite topping in English...which didn't count).


Ah! Well! I did get to blog like the Devil!


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To be continued


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శంకరార్పణం - 3683

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శంకరాభరణం సమస్య - 3683

“కరముల నెల్లవేళఁ గడుగన్ వలెఁ దైలముతోడ మేల్గనన్”








త్వరగను హైద్రబాదునను తప్పక చేరుచు నెన్నికందునన్

మరువక రాజకీయమును మానస మందున పూజచేయుచున్

బరువుగ మోసి నెత్తినను భాండము వేగమె చేరి నేతలన్

కరముల నెల్లవేళఁ గడుగన్ వలెఁ దైలముతోడ మేల్గనన్









(కంది శంకరయ్య గారి సౌజన్యంతో)


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