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What We Know (Based on Reliable Sources)Interstellar Comet 3I/ATLASDiscovery & Basics:Detected by the ATLAS telescope in...
24/08/2025

What We Know (Based on Reliable Sources)
Interstellar Comet 3I/ATLAS

Discovery & Basics:

Detected by the ATLAS telescope in Chile on July 1, 2025, the object quickly earned the designation 3I/ATLAS, indicating it's only the third interstellar visitor known after ‘Oumuamua and 2I/Borisov
Interesting Engineering.

It travels at extraordinary speeds—over 118,000 mph (≈61 km/s)—and follows a hyperbolic, unbound trajectory.

Orbit & Visibility:

Its path lies remarkably close to the plane of the Solar System (the ecliptic), passing near Jupiter, Mars, and Venus—but not Earth
NASA Science

Closest approach to the Sun is expected around October–December 2025, at about 1.4 AU (~210 million km)

Physical Characteristics:

Hubble imagery constrains the nucleus to somewhere between 0.3 km and 5.6 km in diameter

The Alien Spacecraft Hypothesis

What Loeb Proposes:

Harvard astrophysicist Avi Loeb has suggested that 3I/ATLAS could be an alien spacecraft or probe. His reasoning includes:

Its trajectory lies improbably close to the planetary plane.

It seems to emit light from the front—rather than reflect sunlight from a tail like typical comets.

Brightness and precision hint at possible on-board propulsion or nuclear power

Loeb has called for existing spacecraft, like NASA’s Juno, to be retargeted to study it closely
Chron

Scientific Community Reaction:

The majority of astronomers remain skeptical: they emphasize that 3I/ATLAS is exhibiting legitimate comet-like activity, including gas emissions—common among Solar System comets

Critics also caution that speculations of alien origin require exceptionally strong evidence, which currently doesn’t exist

11/05/2025

A Story: Ceasefire of Happiness (Part 01)

Scene: A bilateral meeting between two leaders, Modindia and Shahbajistan. Both are sitting at a round table with a world map in the background.

Modindia: (smiling) Why are you so happy today?

Shahbajistan: (grinning) Why did you agree to stop the fight?

Modindia: (shrugging) My dear friend Troomp requested me. You know, I couldn't say no to him. But you didn’t answer my question. Why so happy?

Shahbajistan: (leaning back) We destroyed everything in your country. It's all over the internet!

Modindia: (raising an eyebrow) Oh, really? Where's the proof?

Shahbajistan: (pulls out a phone, shows social media posts) Look! Memes, videos, even dancing GIFs. It’s everywhere!

Modindia: (laughing) Oh, so that’s why you're leading in the Happiness Index. You’re pretending to be happy even when nothing happened. Impressive!

Shahbajistan: (leaning forward) Why did you really agree to the ceasefire? Do you have an answer?

Modindia: (serious now) We never targeted civilians intentionally. Maybe a few were close to the terrorists, but we took out your 9 terror camps and 10 airbases. We have proof – not the kind you find on social media.

Shahbajistan: (crossing arms) Proof? Where?

Modindia: (smiling again) Classified. But I must say, I admire your spirit. You're happy even when results are not in your favour. That’s... commendable.

Shahbajistan: (fuming) If you are winning then you should not agree to stop fighting.

Modindia: (getting up) That’s the spirit. Keep smiling. Stay happy. (waves) Bye bye!

Shahbajistan: (muttering) I hate that smile.

KNOW YOUR LIMIT AND EXPAND TO INFINITY
17/02/2025

KNOW YOUR LIMIT AND EXPAND TO INFINITY

One interesting paradox involving balls is the Ross-Littlewood Paradox (also known as the balls and vase problem). Here'...
12/02/2025

One interesting paradox involving balls is the Ross-Littlewood Paradox (also known as the balls and vase problem). Here's a simplified explanation:

Imagine you have an empty vase and an infinite supply of numbered balls. The process goes as follows:

1. Step 1: At 60 seconds before noon, you place balls numbered 1 to 10 into the vase and remove ball number 1.
2. Step 2: At 30 seconds before noon, you place balls numbered 11 to 20 into the vase and remove ball number 2.
3. Step 3: At 15 seconds before noon, you place balls numbered 21 to 30 into the vase and remove ball number 3.

This process continues, with each step taking half the time of the previous step. The question is: How many balls are in the vase at noon?

There are two seemingly contradictory answers:

1. Infinite Balls: Intuitively, it seems like there should be an infinite number of balls in the vase because more balls are added than removed at each step.
2. Empty Vase: However, if you consider that each ball is eventually removed (ball number \( n \) is removed at step \( n \)), then by noon, every ball that was added has been removed, leaving the vase empty

Hilbert's Hotel Paradox:Hilbert's Hotel is a thought experiment that illustrates the counterintuitive properties of infi...
12/02/2025

Hilbert's Hotel Paradox:

Hilbert's Hotel is a thought experiment that illustrates the counterintuitive properties of infinite sets. Imagine a hotel with infinitely many rooms, all occupied. If a new guest arrives, the hotel can still accommodate them by moving the guest from room 1 to room 2, the guest to room 2 to room 3, and so on, freeing up room 1. This paradox shows that infinity plus one is still infinity.

Let's begin the Journey to the Infinity: Beyond the Universe
12/02/2025

Let's begin the Journey to the Infinity: Beyond the Universe

31/07/2022

Test yourself : Real Analysis for School Service Commission (SSC), WB

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