Unraveling the Metric Found in Special Relativity

Click For Summary
SUMMARY

The metric in special relativity is definitively established as -+++ for all observers, derived through Lorentz invariance. The discussion highlights the historical context, noting that while some attribute the metric's formulation to the constancy of light, others credit Hermann Minkowski for pre-dating Albert Einstein in this regard. The discourse emphasizes that multiple proofs and axiomatizations exist for the same theory, complicating the historical narrative due to the later adoption of tensor terminology and notation.

PREREQUISITES
  • Understanding of Lorentz invariance in physics
  • Familiarity with the concept of the constancy of light
  • Knowledge of Minkowski spacetime geometry
  • Basic grasp of tensor notation and its historical development
NEXT STEPS
  • Study the derivation of Lorentz transformations in special relativity
  • Explore Minkowski's contributions to spacetime geometry
  • Investigate the implications of the constancy of light on modern physics
  • Learn about the evolution of tensor notation in theoretical physics
USEFUL FOR

Physicists, students of relativity, and anyone interested in the historical and theoretical foundations of special relativity.

Emilie.Jung
Messages
68
Reaction score
0
In special relativity, we can prove that the metric is -+++ for all observers and that is by making use out of lorentz invariance. Some on this forum say that it comes as a result of constancy of light and others say that Minkowski predated einstein in making that metric, which was confusing. So, how would we make sure how was that metric found?
 
Last edited:
Physics news on Phys.org
Emilie.Jung said:
Some on this forum say that it comes as a result of constancy of light and others say that Minkowski predated einstein in making that metric, which was confusing.

The same fact can be proved in more than one way, and the same theory can be described using more than one axiomatization. Are you asking how it was first done historically? That's probably going to be ambiguous because the terminology and notation of tensors wasn't applied to this subject until long after 1905.
 

Similar threads

Undergrad How do non-diagonal indices of a metric allow for local flatness?
  • · Replies 22 ·
Replies
22
Views
2K
Undergrad Explore Spacetimes, Metrics & Symmetries in Relativity Theory
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Co- and Contravariance
  • · Replies 5 ·
Replies
5
Views
1K
Graduate Special Relativity Fiber Bundle: R^3 & Lorentz Metric
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Does the metric in general relativity depend only on position because of the equivalence principle?
  • · Replies 16 ·
Replies
16
Views
2K
Undergrad Special relativity vs Lorentz invariance
  • · Replies 29 ·
Replies
29
Views
4K
Undergrad The wave equation interpretation of special relativity
  • · Replies 10 ·
Replies
10
Views
1K
Undergrad Coord Transform in de Sitter Space: Phys Significance &Linearity?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Are Space and Time Just an Illusion in General Relativity?
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Invariant Mass in Gravitational Fields: Special Relativity
  • · Replies 17 ·
Replies
17
Views
3K