Difference Between Lorentz Transformation & Special Relativity

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Discussion Overview

The discussion revolves around the distinction between Lorentz transformations and special relativity, exploring the theoretical and mathematical aspects of each. Participants examine how these concepts relate to each other within the context of physics.

Discussion Character

  • Conceptual clarification, Technical explanation, Debate/contested

Main Points Raised

  • Some participants assert that special relativity is a physical theory, while the Lorentz transform is a mathematical operation used within that theory.
  • Others propose that special relativity consists of postulates about the speed of light and inertial reference frames, whereas the Lorentz transformation is a tool for converting measurements between these frames.
  • A participant compares the relationship between Lorentz transformations and special relativity to the relationship between Feynman diagrams and quantum field theory, suggesting that one is a component of the other.
  • Another participant notes that Lorentz transformations help define Minkowski spacetime, while special relativity pertains to the physics within that spacetime, drawing an analogy to the difference between geometry and cartography.

Areas of Agreement / Disagreement

Participants express differing views on the relationship and distinction between Lorentz transformations and special relativity, indicating that the discussion remains unresolved.

Contextual Notes

Some participants' statements depend on specific definitions of terms like "theory" and "mathematical operation," which may not be universally agreed upon. The discussion does not resolve the implications of these definitions.

BadgerBadger92
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TL;DR
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What exactly is the difference between special relativity and the Lorentz transformation? Reading about them they seem to be really similar.
Sorry for the extra question. Just have a lot of questions lately and I know some people around here are annoyed with that.
 
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Special relativity is a physical theory. The Lorentz transform is a mathematical operation. Special relativity uses the Lorentz transform to make predictions about physical experiments.
 
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Special relativity is a set of postulates regarding speed of light and inertial reference frames which forms an entire theory.

The Lorentz-transformation is a mathematical operation used to find the quantities measured in one inertial reference frame expressed as quantities measured in another inertial reference frame.

It's like asking what the difference between feynman diagrams and quantum field theory is.
 
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The Lorentz transforms are one way of defining Minkowski spacetime. Special Relativity is the physics of being in a Minkowski spacetime. Naturally, the Lorentz transforms turn up a lot.

It's a bit like the difference between Euclidean (and spherical) geometry and cartography. You can't do much cartography without an understanding of straight lines and angles, but cartography isn't just straight lines and angles.
 
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