This is not just the story of physics, but the story of human life as well. No one can predict where the end point and trajectory will be despite knowing the starting point and the initial circumstances. 🙂
The most predictable object in physics becomes completely unpredictable the moment you add a second joint.
It's called a "double pendulum."
This is why scientists still cannot predict the double pendulum exactly.
A double pendulum with initial conditions measured to a trillionth of a degree will still become completely unpredictable within ten seconds.
Think about what that sentence actually means. We have the full equations. Newton wrote them. Lagrange refined them. Every physics undergraduate can derive them on a napkin. There's no missing physics, no hidden variable, no quantum weirdness. Just two rods, two joints, gravity. That's it.
And yet the system laughs at prediction.
The reason lives in something called the Lyapunov exponent, a number that measures how fast two nearly-identical starting positions diverge from each other over time.
For a double pendulum, that exponent sits around 3 to 5 per second, and in some experiments as high as 7.9. Translation: "any tiny uncertainty in your starting angle doubles roughly every fifth of a second. After one second, your error has grown by a factor of thousands. After five seconds, by a factor of billions. After ten, the two pendulums have nothing in common except the laws they obey."
The deeper trap is philosophical.
Classical mechanics was supposed to be the temple of determinism. Laplace famously claimed that a sufficiently powerful intelligence knowing every particle's position and velocity could predict the entire future of the universe. The double pendulum quietly destroys that dream using two sticks and a hinge. Determinism holds in theory, but predictability fails because measurements are never exact.
You cannot know an angle to infinite decimal places. The universe doesn't hand you those digits. So even in a fully deterministic system, the future becomes practically unknowable the moment sensitivity to initial conditions outpaces your measurement resolution.
This is why weather forecasts fail past two weeks. Why heart arrhythmias resist prediction. Why financial models built on smooth curves get shredded by reality.
The double pendulum is the honest face of most complex systems in nature. Smooth predictability is the exception. Chaos is the default setting of anything with coupled nonlinear parts.
Sachin Tendulkar has finally spoken on the student protests, and I had to read his note twice: once as a fan and once as an editor. The fan was disappointed, but the editor realised that this was a textbook specimen of the kind of writing that George Orwell warned about in his essay “Politics and the English Language”.
The essay was written in 1946, but it might well have been written yesterday about this very statement. Orwell’s point was that when people want to hide something, they stop using plain words and reach instead for the passive voice, for fog, for phrases that sound like they mean something while meaning nothing at all.
Consider the line, where students are disappointed that “their hard work hasn’t been rewarded”. Rewarded by whom, and denied by whom? There was a paper leak, which means somebody leaked it, some institution failed to prevent it, and an official presides over that institution. Yet none of them appears in the statement, and neither does the leak itself. A crime with identifiable custodians has been turned into something that simply happened to lakhs of children through nobody's fault.
Then comes the list of those who must set things right: parents, teachers, friends, relatives, schools and administrators. If you read that list again slowly, you will notice it covers everyone in India except the people the students are actually protesting against, which is to say the NTA, the education ministry and the government. When everyone is responsible, nobody is, and that is not an accident of drafting. It was engineered to deflect blame.
There is also a quiet sentence buried in the middle. “A society which prioritises outcomes over effort will seek shortcuts over meritocracy” is a line about those who take shortcuts, meaning the cheat. So a note on protests around paper leaks ends up gently lecturing the leaked-upon about honesty. His father’s lovely lesson—that failure is okay but cheating is not—is again aimed squarely at individuals, while the scandal and protests right now are about institutions that failed them.
The rest of the statement is what Orwell called ready-made strips of words, glued together. Full of dreams and energy, fuel to our success, safeguard their aspirations. Nobody can disagree with any of it, which is precisely the point, for this is prose engineered so that no one in power will find a single sentence to object to.
What an actual position would have looked like is a single sentence in the active voice: The government must find and punish those who leaked the paper, and fix the system that allowed it. He wrote 160+ words to avoid writing that one.
Here’s Orwell’s full essay for those interested:
https://t.co/VlPoJdOcDG
I am a CBSE Class 12 student.
After receiving unexpectedly low marks in Physics, we applied for photocopies of my answer sheets through the CBSE reevaluation process.
Today we received the copies.
And I am shattered because the Physics answer sheet uploaded by CBSE is not mine
I've lost interest. Earlier I was very confident that India would become a developed country. I'm no longer sure.
Some of the states in India are doing very well. As a country, our growth is subpar. No where near to become a developed nation.
Is driving an EV in the rain for 30 mins a "Customer Fault"?
My barely 4-month-old @VinFastofficial@VinFastIN EV died completely on the highway after its very first exposure to rain. Now they’re refusing my warranty and blaming me. A total nightmare. #VinFast#EVIndia 1/6
I want to see such indian content creators being celebrated, way more than we do.
What an awesome way to remember formulas: Bam Bam Bhole , Sona Chandi Tole 🤩
A Peek TV ground report is among several posts and accounts that have been taken down by X and Instagram on the government's orders recently.
Watch this video to see the takedown order we received from the Delhi Police, which didn't list any specific issues with our report.
Glad that we have a real ally who questions the privileges within the community, instead of just sympathizing with the victims.
Glad that Sai Deepak isn't the sole representation of Brahmins in TN, we have progressive voices like Radhika Ganesh who speak against caste system. But Cow belt dwijas in the media give space only to trads from South for obvious reasons.
After cartoon on Modi was taken down , The Wire doubled down and released a cartoon on Om Birla and it is hilarious 🤣
Watch and share it before it is deleted too.
- Deepak saved a Muslim from Harassment
- Mob tries to attack him & his friend
- Police register a case against him instead
- Now his family is getting targeted
This is how broken our law system is where the good Samaritan gets harassed instead of the Rowdy Bajrang dal.
This is what real journalism looks like.
Kudos to Ajit Anjum ji for asking hard-hitting questions to ASP of Kotdwar
Kotdwar police filed case against 30-40 unknown people
Ajit ji showed videos of t€rrorists of Bajrang Dal & ASP had no answer.
🫡🫡
Once feared, chased, and hated, the elephants of Assam’s Hatikhuli now walk peacefully through farms — thanks to a simple, extraordinary idea: feed, don’t fight.
Watch how 90-year-old conservationist Pradip Kumar Bhuyan, Binod Dulu Bora, and the community turned fear into friendship, planting food for elephants, mapping migration routes, and creating safe corridors.
Today, over 300 elephants pass through Hatikhuli every year, and villagers thrive alongside them.
Watch the full story, it’s nothing short of magical!
#HatiBondhu #ElephantConservation #Assam