Introduction to Lorentz Transformation Welcome, fellow enthusiasts of the cosmos, to an exciting exploration of the consequences of the Lorentz Transformation. In the world of physics, few concepts are as mind-bending and transformative as those ...
Lorentz Transformation – Special Theory of Relativity
Welcome, curious minds, to an exhilarating journey through one of the most fascinating concepts in modern physics—the Lorentz Transformation within the realm of the Special Theory of Relativity. Whether you're a seasoned physicist or just someone wi ...
Variation of a Function in Classical Mechanics
Calculus of variations, a branch of mathematics concerned with the problem of finding a function for which the value of a certain integral is either the largest or the smallest possible. The problem of Calculus of variations was first solved by J ...
Maxwell’s Laws of Electromagnetism are Not Invariant Under the Galilean Transformation
Introduction: The Clash of Two Theories In the world of physics, different theories often intersect and sometimes clash, leading to new insights and advancements. One such clash occurs between the laws of electromagnetism, as formulated by James ...
Electromagnetism, Laws of Electromagnetism, Maxwell’s Equations in Empty Space
Electromagnetism is a fundamental branch of physics that deals with the study of electric and magnetic fields and their interactions. It is a unifying theory that explains both electric and magnetic phenomena as manifestations of a single electromag ...
Generalized Displacement, Generalized Velocity, Generalized Acceleration
The minimum number of independent coordinates or variables which is required to describe the motion of a dynamical system is known as generalized coordinates. For a system of N particles and for k constraints and d dimension, the number of independe ...
Degree of Freedom and Generalized Coordinates in Classical Mechanics
The concept of degrees of freedom is crucial in describing and analyzing the behavior of physical systems. It's used to determine the minimum number of coordinates needed to specify the complete state of a system. Degree of Freedom The degree ...
Postulates of Special Theory of Relativity and Galilean Transformation
In 1905, famous scientist Albert Einstein introduced the special theory of relativity. This special relativity is based on the following two fundamental postulates. These two postulates are called fundamental postulates of the special theory of rela ...
Frame of Reference: Inertial and Non-inertial Frames of References
No motion is detectable without reference to a second body reflects the fundamental nature of motion in our universe. It underscores the need for a frame of reference to describe and measure motion accurately, highlighting the interconnectedness of ...
Motion and Relative Motion: No Motion is Detectable Without Reference to a Second Body
Motion refers to an object's change in position over time, relative motion emphasizes the importance of considering the motion of one object with respect to another object or observer. Motion Motion refers to the change in the position of an o ...