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Airline plans to connect cities in Thailand, Malaysia, Vietnam in 2-3 years By just inverting the Hubble Constant, we get an estimate of the age of the universe

- Anu Sharma anu.sharma@livemint.com NEW DELHI DILIP D’SOUZA Respond to this column at feedback@livemint.com

As India’s youngest airline Akasa Air prepares to launch internatio­nal flights next week, the low-cost carrier has plans to register record expansion in internatio­nal segment and expects to connect cities across Thailand, Vietnam, Malaysia in the next 2–3 years, a top company executive said.

“We are interested in Malaysia, Thailand, Vietnam, Indonesia. A couple of years from now, it is more than likely that we will be flying to these destinatio­ns. For now, we certainly hope to operate to multiple internatio­nal destinatio­ns by the end of this summer season,” founder and chief executive officer Vinay Dube said at a roundtable discussion.

Akasa Air, which commenced flight operations in India in August 2022, is slated to operate its maiden internatio­nal flight on 28 March from Mumbai to Doha. The airline had operated its first domestic flight from Mumbai to Ahmedabad.

While there are challenges in availabili­ty of flying rights for cities such as Dubai and Sharjah, there is also a big pool of options for the airline such as Abu Dhabi, Jeddah, Riyadh, Dammam, and Bahrain to add internatio­nal destinatio­ns going forward, Dube said.

“It is just the beginning. Our planes have the capability to fly non-stop to east coast of Africa from the North, to Hong Kong from Bengaluru, Kolkata, etc. Based on the internatio­nal demand that we foresee coming out of India, we will be able to get to those levels in two-three years in internatio­nal segment, which (other) airlines took over 15 years to get in India,” Dube added.

The airline, which has a 4.5% market share in domestic segment, is also bullish on the growth story of the Indian air travel market in both domestic and internatio­nal segments.

“March used to be a seasonally-weak quarter, but the kind of demand we are seeing play out in India and for markets to and from India is fantastic. We are going to see this amazing demand for the next 10

AKASA

years. I see demand outpacing capacity for the next 10 years,” Dube said.

In January, Akasa, along with Air India Express and SpiceJet, was asked by the Directorat­e General of Civil Aviation to carry out a one-time inspection of the emergency exits on all Boeing 737-8 MAX aircraft after an incident with US carrier

The world of science is full of numbers that mean something, sometimes called “constants”. I’m not referring to 1, 2, 3, and so on, though, of course, those certainly mean something as well. There’s pi, and phi (the golden ratio), and e, mathematic­al constants that pop up all over the place. But there’s also the Avogadro constant, the speed of light, and accelerati­on due to gravity...

And there’s my favourite, the Hubble Constant that says things about this universe we inhabit. But before I explain why I like it, here’s a rundown of how Edwin Hubble, the 20th Century astronomer, came to define the number and give it a value, and what it means for our understand­ing of the universe.

You’ve heard of the Doppler effect: It’s the change in frequency of a wave you notice, if you and the source of the wave are moving relative to each other. Plainer language, you say?

Certainly you’ve noticed the change in the pitch of a train’s horn as it moves past you. The horn is higher pitched as a train approaches you, lower as it moves away. That’s the Doppler effect: The sound is “shifted” lower or higher depending on how the train is moving.

Well, astronomer­s noticed distant galaxies producing the same kind of shift. Not in some sound they make, but in the light that they emit that reaches us. That light is Doppler-shifted, too, and (in general) towards the lower-frequency red end of the light spectrum.

What does this “redshift” tell us? That those galaxies are moving, and moving away from us. In turn, that means the universe is expanding.

This was a fundamenta­l, profound discovery about the universe. It raised all sorts of questions. What is it expanding into? Will it stop expanding at some point, and start collapsing? Is the expansion slowing down or accelerati­ng, or is it steady? And how fast is it expanding, anyway?

Edwin Hubble was the first to offer an answer to some of these questions, and it was a surprising one: The further a galaxy is from us, the faster it is receding from us. In other words, the redshift of a given galaxy doesn’t just tell us how fast it is moving; it is also a measure of its distance from us.

The Hubble Constant captures this, and Hubble estimated it at 500km/second per megaparsec (mpc). (The megaparsec is a unit of distance, equivalent to about 3.25 million light years, or mly.) He is now believed to have overestima­ted—contempora­ry measuremen­ts suggest it is closer to 65km/s/mpc.

Like with most things to do with the universe, this constant involves quantities almost too huge to comprehend. The closest star to us, Proxima Centauri, is about 4.3 light years away—itself about 40 trillion km. Milky Way galaxy is about 100,000 light years across. So, a megaparsec is about 750,000 times the distance to Proxima Centauri, and over 30 times the diameter of the Milky Way.

The Hubble Constant says that with each megaparsec out into space from the Earth, an object’s velocity increases by 65km/s.

One way to understand this is to consider a galaxy that’s more or less stationary, one mpc away. With every second, it moves another 65km away. Or imagine that we find a galaxy whose redshift says it is speeding along at 200km/s. The Hubble Constant tells us it is about 3mpc (200/65) away.

If that’s still hard to comprehend, think of friend, Manjula who jumps on her bike, saying: “I’m going to flee from you. With each kilometre I put between us, my speed will increase by 5kmph.”

Her Manjula Constant, if you like, is 5kmph/km. With a toss of her hair, she pedals off. Some time later, she zooms past friend Mandeep, who measures her speed and reports to you: 20kmph. You know that Manjula is now 4km (20/5) from you. What’s more, her constant also gives you an estimate of how long Manjula has been pedalling. Invert it to get 1/5, or 0.2 hours, which is 12 minutes. That’s how long it takes to travel 4km at 20kmph. That’s how long it’s been since she left.

This is what makes the Hubble Constant my favourite. Because by simply inverting it, we have an estimate of the age of the universe—we effectivel­y roll the clock back to that gargantuan primeval explosion we know as the Big Bang. Try it: invert 65km/s/ mpc and do some relatively straightfo­rward arithmetic. You’ll come up with a figure of a little less than 16 billion years.

The thing is, though, we don’t have the Hubble Constant down precisely. Astronomer­s have generally used three different methods to calculate it, and the values they get vary: about a 10% difference between figures.

That may not be much, considerin­g there is an inherent uncertaint­y in measuring redshifts and distances on these cosmic scales. Still, a respected science journalist recently wrote: “[A]s far as anyone can tell, there’s nothing wrong with [these measuremen­ts], and there’s no obvious way to get them to agree” (Gravitatio­nal lens gives us a third estimate of the Universe’s expansion, John Timmer, Ars Technica, 13 May 2023, https://t.ly/X54Uy) So persistent is this difference that it has come to be known as “Hubble Tension”.

One method of calculatin­g the Hubble Constant involves a certain class of stars known as the Cepheid variables. A recent paper builds on data from over a thousand Cepheids observed by James Webb Space Telescope (JWST). They were earlier observed with the Hubble Space Telescope (HST).

There was some suspicion that the HST observatio­ns were not very accurate; the “superior resolution of JWST negates” such inaccuraci­es. Even so, the paper “conclude[s] that errors in [HST measuremen­ts] of Cepheids...do not significan­tly contribute to the [Hubble] tension.” (JWST Observatio­ns Reject Unrecogniz­ed Crowding of Cepheid Photometry as an Explanatio­n for the Hubble Tension at 8 Confidence, Adam G Riess et al., Astrophysi­cal Journal Letters, 6 February 2024, https://t.ly/-Y1IV)

An entire scientific effort merely to confirm that the Hubble tension still exists! I love astronomy. And mathematic­s. And science. And reason.

PS: Next week’s column will be my last in this space. It’s been 13 years and something like 400 columns. I’ve loved writing them, I am so grateful that you read them and I hope they gave you things to think about.

Once a computer scientist, Dilip D’Souza now lives in Mumbai and writes for his dinners. His Twitter handle is @DeathEndsF­un.

 ?? PTI ?? Vinay Dube, the chief executive officer of Akasa Air, says India will see amazing demand for air travel over the next 10 years, which could outpace capacity.
PTI Vinay Dube, the chief executive officer of Akasa Air, says India will see amazing demand for air travel over the next 10 years, which could outpace capacity.
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