It proves that hidden within the apparent chaos are deterministic "quantum elevators" that boost integers precisely between energy shells.
Link: 👉 prayogashaala.com/collatz-conj...
#Mathematics #CollatzConjecture #DataViz #Quantum #Research
It proves that hidden within the apparent chaos are deterministic "quantum elevators" that boost integers precisely between energy shells.
Link: 👉 prayogashaala.com/collatz-conj...
#Mathematics #CollatzConjecture #DataViz #Quantum #Research
My latest research tool, The Collatz Atomic Model, maps the hidden "quantum shells" (K, L, M...) that organize the number line.
Link:🔗 prayogashaala.com/collatz-conj...
#Mathematics #Quantum #Collatz #STEM
My latest research tool, The Collatz Atomic Model, maps the hidden "quantum shells" (K, L, M...) that organize the number line.
Link:🔗 prayogashaala.com/collatz-conj...
#Mathematics #Quantum #Collatz #STEM
My new app splits odd integers into components (2n, 2n+1) to test if the math stays linear during a collatz operation.
🔗 prayogashaala.com/the-collatz-... #MathViz #Physics #NumberTheory
My new app splits odd integers into components (2n, 2n+1) to test if the math stays linear during a collatz operation.
🔗 prayogashaala.com/the-collatz-... #MathViz #Physics #NumberTheory
Is the chaos random? No.
I built a "Classification Matrix" to organize numbers by their "Crash Power."
🔍 "Orphans" of the Collatz graph, 📉 Primes & Fibonacci: Do they follow the chaos?
Link: prayogashaala.com/collatz-matr...
Is the chaos random? No.
I built a "Classification Matrix" to organize numbers by their "Crash Power."
🔍 "Orphans" of the Collatz graph, 📉 Primes & Fibonacci: Do they follow the chaos?
Link: prayogashaala.com/collatz-matr...
As a physicist, I know chaos hides structure.
I built an app to visualize the math and found snowflakes, attractors, and perfect geometric traps.
See for yourself: prayogashaala.com/collatz-frac...
#Math #Physics #Antigravity
As a physicist, I know chaos hides structure.
I built an app to visualize the math and found snowflakes, attractors, and perfect geometric traps.
See for yourself: prayogashaala.com/collatz-frac...
#Math #Physics #Antigravity
I visualized the Collatz Conjecture to see what happens when numbers refuse to stop.
🔴 Red = The classic Positive Loop 🟢 Green = The hidden Negative Loops ⚫ Black = Your number traveling the void
Play with the simulation: prayogashaala.com/collatz-conj...
I visualized the Collatz Conjecture to see what happens when numbers refuse to stop.
🔴 Red = The classic Positive Loop 🟢 Green = The hidden Negative Loops ⚫ Black = Your number traveling the void
Play with the simulation: prayogashaala.com/collatz-conj...
I used AI to build a tool that scans the universe of numbers for us.
Link: prayogashaala.com/collatzloop/
#Math #AI #Collatz #Prayogashaala
I used AI to build a tool that scans the universe of numbers for us.
Link: prayogashaala.com/collatzloop/
#Math #AI #Collatz #Prayogashaala
✅ Plans your entire IBDP experiment based on YOUR hobbies.
✅ Derives the Math & suggests Python code.
✅ Finds the exact gear on Amazon for you. 🛍️
Try it free here: ibphysicswithrao.com/IA-Generator...
#IBDP #PhysicsIA
✅ Plans your entire IBDP experiment based on YOUR hobbies.
✅ Derives the Math & suggests Python code.
✅ Finds the exact gear on Amazon for you. 🛍️
Try it free here: ibphysicswithrao.com/IA-Generator...
#IBDP #PhysicsIA
My Daily Practice Problems program has expanded to include MYP Physics. ⚛️
All the details are on my website: ibphysicswithrao.com/home/myp-sup...
#MYPPhysics #IBMYP #LearnOnTwitter
My Daily Practice Problems program has expanded to include MYP Physics. ⚛️
All the details are on my website: ibphysicswithrao.com/home/myp-sup...
#MYPPhysics #IBMYP #LearnOnTwitter
For over a century, his particle theory dominated science until one brilliant experiment changed everything.
Read about the History of waves, from Wi-Fi to our own vision.
Link: ibphysicswithrao.com/home/waves/
#HistoryOfScience #Physics #STEM
For over a century, his particle theory dominated science until one brilliant experiment changed everything.
Read about the History of waves, from Wi-Fi to our own vision.
Link: ibphysicswithrao.com/home/waves/
#HistoryOfScience #Physics #STEM
I wrote about the history behind this idea and why it matters for the future of learning.
Read the full story here: [Link to your blog post on prayogashaala.com/humanbots/
I wrote about the history behind this idea and why it matters for the future of learning.
Read the full story here: [Link to your blog post on prayogashaala.com/humanbots/
🤔 My latest blog, "From Dance Floor to Crowded Elevator," unpacks misconceptions & reveals the real scientific journey. Plus, video solutions!
#Physics #STEM
Check it out: ibphysicswithrao.com/home/gas-dan...
🤔 My latest blog, "From Dance Floor to Crowded Elevator," unpacks misconceptions & reveals the real scientific journey. Plus, video solutions!
#Physics #STEM
Check it out: ibphysicswithrao.com/home/gas-dan...
So I built an AI tool to fix it. It turns months of confusion into a strategic map in minutes. 🗺️
Link: prayogashaala.com/literature-s...
#Bioinformatics #AI #Research #PhDLife
So I built an AI tool to fix it. It turns months of confusion into a strategic map in minutes. 🗺️
Link: prayogashaala.com/literature-s...
#Bioinformatics #AI #Research #PhDLife
My new blog explains why #Joule is ALL energy's last name. #Physics #Energy #ScienceEd
Link: ibphysicswithrao.com/home/energy/
My new blog explains why #Joule is ALL energy's last name. #Physics #Energy #ScienceEd
Link: ibphysicswithrao.com/home/energy/
Why do our models fail & what does it teach us about knowledge itself?
Find out in my new blog on SHM. #Physics #IBStudents
ibphysicswithrao.com/home/the-sec...
Why do our models fail & what does it teach us about knowledge itself?
Find out in my new blog on SHM. #Physics #IBStudents
ibphysicswithrao.com/home/the-sec...
My new blog post explains the simple rule to master signs for:
✅ Specific Heat
✅ Latent Heat
✅ Calorimetry
shorturl.at/4OUyx
#Physics #StudyTips #STEM #IBPhysics
My new blog post explains the simple rule to master signs for:
✅ Specific Heat
✅ Latent Heat
✅ Calorimetry
shorturl.at/4OUyx
#Physics #StudyTips #STEM #IBPhysics
Discover how Inquiry-Based Learning dismantles common misconceptions and builds deep, lasting understanding in students.
Click here: prayogashaala.com/the-detectiv...
Discover how Inquiry-Based Learning dismantles common misconceptions and builds deep, lasting understanding in students.
Click here: prayogashaala.com/the-detectiv...
I built an interactive tool with Gemini to explore these deep analogies in physics!
✅ Compare Gravity, E&M, and Magnetism side-by-side
Try it out:https://prayogashaala.com/fieldcomparison/a0.html
#EdTech #Simulation
I built an interactive tool with Gemini to explore these deep analogies in physics!
✅ Compare Gravity, E&M, and Magnetism side-by-side
Try it out:https://prayogashaala.com/fieldcomparison/a0.html
#EdTech #Simulation
Explore here 👉 ibphysicswithrao.com/home
#IBPhysics #Vijayadashami #Teaching
Explore here 👉 ibphysicswithrao.com/home
#IBPhysics #Vijayadashami #Teaching
I tried Classroom Activity Designer—a tool that turns topics into engaging, story-driven lessons in minutes.
🎥 Watch how it works: youtu.be/cNSBdwd6eps
I tried Classroom Activity Designer—a tool that turns topics into engaging, story-driven lessons in minutes.
🎥 Watch how it works: youtu.be/cNSBdwd6eps
Instead of "When will I use this?" they now ask "What police speed gives 90% success rate?"
Try it: prayogashaala.com/police-thief...
#PhysicsEducation #IBDPPhysics #AIinEducation
Instead of "When will I use this?" they now ask "What police speed gives 90% success rate?"
Try it: prayogashaala.com/police-thief...
#PhysicsEducation #IBDPPhysics #AIinEducation
Link: youtu.be/qwy3L_4b08Q
Topic: 2 projectiles, 1 collision 🚀🎯
✔️ Find collision point with different angles
✔️ Ratio of times of flight
✔️ IB-level to JEE-depth explained step by step 💡
#IBDP #IITJEE #ProjectileMotion #IBtoIIT
Link: youtu.be/qwy3L_4b08Q
Topic: 2 projectiles, 1 collision 🚀🎯
✔️ Find collision point with different angles
✔️ Ratio of times of flight
✔️ IB-level to JEE-depth explained step by step 💡
#IBDP #IITJEE #ProjectileMotion #IBtoIIT
Topic: Charged particle in a magnetic field ⚡🧲
✔️ Semicircular path traced
✔️ Detector length needed
✔️ Time taken for exit
IB problem ➡️ IIT/JEE depth cracked! 🚀
#IBDP #IITJEE #Physics #IBtoIIT
Topic: Charged particle in a magnetic field ⚡🧲
✔️ Semicircular path traced
✔️ Detector length needed
✔️ Time taken for exit
IB problem ➡️ IIT/JEE depth cracked! 🚀
#IBDP #IITJEE #Physics #IBtoIIT
Video -3: Buoyant Force on a Ball ⚽🌊
✔️ Rising speed till surface
✔️ Height above water
✔️ Work done by buoyant force
✔️ Viscous force effects
IB ➡️ IIT level explained! 💡
#IBDP #IITJEE #Physics #Fluid
Video -3: Buoyant Force on a Ball ⚽🌊
✔️ Rising speed till surface
✔️ Height above water
✔️ Work done by buoyant force
✔️ Viscous force effects
IB ➡️ IIT level explained! 💡
#IBDP #IITJEE #Physics #Fluid
✅ Gemini API integration
✅ PDF generation
✅ Smart goal alignment
✅ Educational frameworks
Try it FREE: rathankar.com/wp-content/t...
#VibeCoding #EdTech #AIinEducation #NoCode
✅ Gemini API integration
✅ PDF generation
✅ Smart goal alignment
✅ Educational frameworks
Try it FREE: rathankar.com/wp-content/t...
#VibeCoding #EdTech #AIinEducation #NoCode