Lorentz-Einstein equation and Sturm Liouville Theory

  • Thread starter member 11137
  • Start date
  • Tags
    Theory
In summary, the speaker is asking if it is appropriate to develop an essay that explores the connection between the Lorentz-Einstein equation and a set of four differential equations. They are also wondering if it is valid to use the Sturm Liouville Theory to analyze this new formulation. They mention their previous discovery of the Connectivity Theory and ask for constructive feedback. They also provide a brief explanation of the Lorentz-Einstein equation.
  • #1
member 11137
I first want to excuse me if it is the wrong place to post my question and if it is forbidden to ask such question on this forum because I know that personal research are not specially wellcome here. I don't want to disturb; I just want to learn more.
The question is: does it make sense to developp an essay in which I would try to recognize a set of four differential equations in observing the Lorentz-Einstein equation (LEE)? With other words does it make sense to look for a change of basis that would allow to read this LEE as a diff equ of second order ? And if I find one of these basis where it seems to be possible, is it correct to analyze the new formulation of the LEE with the Sturm Liouville Theory ?
One year ago I discovered the Connectivity Theory and I remarked that this latter obtain similar mathematical results than my approach, but through other ways.
Thank you for constructive remarks. Blackforest
 
Physics news on Phys.org
  • #2
What do you call "the Lorentz-Einstein equation"?

Seratend.
 
  • #3
On the left hand: ro. Du/ds where ro is the volumetric density of matter, u is the 4-speed vector, D the total derivative along the path s; on the right hand: [F].j the Lorentz force where [F] is the strenght field tensor and j the Lorentz current. Sorry I don't work with Latex or similar useful program (I will try to learn).
 

FAQ: Lorentz-Einstein equation and Sturm Liouville Theory

What is the Lorentz-Einstein equation?

The Lorentz-Einstein equation, also known as the Lorentz transformation, is a set of equations that describe the relationship between space and time in the theory of special relativity. It explains how measurements of space and time by observers in different inertial frames are related.

What is the significance of the Lorentz-Einstein equation?

The Lorentz-Einstein equation is significant because it is the foundation of the theory of special relativity, which revolutionized our understanding of space and time. It has also been experimentally verified and is essential for many modern technologies, such as GPS systems and particle accelerators.

What is Sturm Liouville Theory?

Sturm Liouville Theory is a mathematical framework that deals with the properties of second-order linear differential equations. It provides a method for solving these equations and has applications in various fields, including physics, engineering, and mathematics.

How is Sturm Liouville Theory related to the Lorentz-Einstein equation?

The Lorentz-Einstein equation can be derived using Sturm Liouville Theory. This theory provides a mathematical framework for solving the differential equations that describe the behavior of physical systems, including the equations used in the theory of special relativity.

Can Sturm Liouville Theory be applied to other areas of physics?

Yes, Sturm Liouville Theory has applications in various areas of physics, including quantum mechanics, electromagnetism, and fluid dynamics. It is a powerful tool for solving differential equations and has been used to study a wide range of physical phenomena.

Similar threads

Calculus Best Calculus of variations (Sturm Liouville Theory) textbook?
Replies
3
Views
2K
I Sturm-Liouville theory in multiple dimensions
Replies
8
Views
4K
B Questions on QFT & QM: Is QM or QFT Absolute Time?
2
Replies
69
Views
5K
B QFT & QM Questions (about time, locality, gravity, etc.)
Replies
6
Views
2K
I Special relativity vs Lorentz invariance
Replies
29
Views
3K
Why Recast Second-Order ODEs as Sturm-Liouville Problems?
Replies
4
Views
2K
I Fundamental representation and adjoint representation
Replies
27
Views
2K
I Links between the Lorentz equations and SR/GR
Replies
17
Views
1K
I Deductions of Formulas for Energy
Replies
2
Views
1K
I Is There Experimental Evidence That Contradicts Time Contraction Predictions?
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top