LOG#039. Relativity: Examples(III).

Example 1. Absorption of a photon by an atom. In this process, we have from momenergy conservation: If the atom is the rest frame, before absorption we get Description: an atom “a” at rest with mass absorbs a photon “b” … Continue reading

LOG#038. Relativity: Examples(II).

Example 1. Completely inelastic collision of 2 particles . We will calculate the mass and velocity after the collision, when a cluster is formed. From the consevation of momentum in the collision, we get Then, Squaring both sides: In the … Continue reading

LOG#037. Relativity: Examples(I)

Problem 1. In the S-frame, 2 events are happening simultaneously at 3 lyrs of distance. In the S’-frame those events happen at 3.5 lyrs. Answer to the following questions: i) What is the relative speed between frames? ii) What is … Continue reading

LOG#036. Action and relativity.

The hamiltonian formalism and the hamiltonian H in special relativity has some issues with the definition. In the case of the free particle one possible definition, not completely covariant, is the relativistic energy     There are two others interesting … Continue reading

LOG#035. Doppler effect and SR.

The Doppler effect is a very important phenomenon both in classical wave motion and relativistic physics. For instance, nowadays it is used to the detect exoplanets and it has lots of applications in Astrophysics and Cosmology. Firstly, we remember the … Continue reading

LOG#034. Stellar aberration.

In this entry, we are going to study a relativistic effect known as “stellar aberration”. From the known Lorentz transformations of velocities (inverse case), we get:             The classical result (galilean addition of velocities) is … Continue reading

LOG#033. Electromagnetism in SR.

The Maxwell’s equations and the electromagnetism phenomena are one of the highest achievements and discoveries of the human kind. Thanks to it, we had radio waves, microwaves, electricity, the telephone, the telegraph, TV, electronics, computers, cell-phones, and internet. Electromagnetic waves … Continue reading

LOG#032. Invariance and relativity.

Invariance, symmetry and invariant quantities are in the essence, heart and core of Physmatics. Let me begin this post with classical physics. Newton’s fundamental law reads:     Suppose two different frames obtained by a pure translation in space:   … Continue reading

LOG#031. Entropic Gravity (II).

We will generalize the entropic gravity approach to include higher dimensions in this post. The keypoint from this theory of entropic gravity, according to Erik Verlinde, is that gravity does not exist as “fundamental” force and it is a derived … Continue reading

LOG#030. Entropic Gravity (I).

In 2010, Erik Verlinde made himself famous once again. Erik Verlinde is a theoretical physicist who has made some contributions to String Theory. In particular, the so-called Verlinde formula. However, this time was not apparently a contribution related to string … Continue reading