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All posts by : rsroybaruah

modified theories
July 24, 2025
by rsroybaruah

Modified Theories of Gravity Every Physicist Should Know

Gravity—one of the most familiar forces in nature—is far from being fully understood. Newton and Einstein gave us powerful tools to understand it, but the cosmos still keeps secrets. Welcome to the realm of modified theories of gravity, where scient ...

competitive exams
July 23, 2025
by rsroybaruah

Best Strategies to Crack Math in Competitive Exams

Mathematics plays a crucial role in most competitive exams, whether you're targeting government jobs, MBA entrances, or higher studies. For many, math is either a stronghold or a stumbling block. This blog will guide you on how to conquer it with co ...

mathematical thinking
July 22, 2025
by rsroybaruah

Tips to Develop Mathematical Thinking for Students and Teachers

Why Developing Mathematical Thinking Matters 1.1 The Core of Human Intelligence Mathematics isn’t just about numbers. It's the foundation of logical reasoning, critical analysis, and structured problem-solving. When you develop mathematical th ...

PhD in Mathematics
July 21, 2025
by rsroybaruah

Pursuing a PhD in Mathematics: Beginner’s Guide

Introduction to Pursuing a PhD in Mathematics Understanding the Journey of a PhD in Mathematics Embarking on a PhD in Mathematics is more than just enrolling in a program—it's a commitment to deep, focused, and often solitary research. Unlike ...

quick solve
June 5, 2025
by rsroybaruah

Smart Ways to Quick Solve Competitive Maths Questions

Mathematics often strikes fear in the hearts of aspirants appearing for competitive exams. The pressure of solving complex questions in limited time can be overwhelming. But what if you could master the "quick solve" techniques that make mathematics ...

F2
May 7, 2025
by rsroybaruah

Wormholes in Theoretical Cosmology: From Einstein-Rosen Bridges to Traversable Solutions

Introduction Wormholes, often romanticized in science fiction, are solutions to the Einstein field equations that act as bridges between two separate points in spacetime. In theoretical cosmology, wormholes represent not only potential shortcuts ...

2525
March 21, 2025
by rsroybaruah

Memory Quiz: What Did You See? – Boost Your Brainpower!

Memory is one of the most vital cognitive functions we use daily. From remembering names to recalling important dates, our brain is constantly at work. But have you ever wondered how strong your memory really is? Enter the Memory Quiz: What Did You ...

1234
March 17, 2025
by rsroybaruah

Euler’s Equation of Motion in Fluid Dynamics

Fluid dynamics, a branch of fluid mechanics, deals with the motion of fluids and their interactions with solid boundaries. One of the fundamental equations governing fluid flow is Euler's equation of motion. Named after the Swiss mathematician and p ...

SWZ1
March 10, 2025
by rsroybaruah

Schwarzschild’s Exterior Solution for the Gravitational Field of an Isolated Particle

The concept of curved spacetime, introduced by Albert Einstein in his General Theory of Relativity (GR), revolutionized our understanding of gravity. One of the most important solutions to Einstein’s field equations is the Schwarzschild solution, wh ...

einstein's field equation
March 3, 2025
by rsroybaruah

Einstein’s field equation in General Relativity for Beginners

Einstein’s field equation is the foundation of General Relativity—a theory that describes how gravity works. The equation: R_{\mu\nu}-\frac{1}{2}Rg_{\mu\nu}=\frac{8\pi G}{c^4}T_{\mu\nu} may look complicated, but let’s break it down step by ste ...

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