Covariance tutorials, questions, and resources

Bi-linear Property of Covariance.

August 18th, 2022

statistics covariance

Off-diagonal terms in metric for 4D space-time

October 1st, 2022

covariance metric-tensor special-relativity spacetime tensor-calculus

How to find the intrinsic covariant derivative component?

January 2nd, 2020

differentiation general-relativity differential-geometry covariance

Is kinetic energy a scalar?

February 4th, 2020

energy invariants covariance

Why do we need a metric to define gradient?

February 4th, 2021

covariance differentiation tensor-calculus metric-tensor differential-geometry

Trace of a Tensor

August 1st, 2022

tensor-calculus covariance trace general-relativity differential-geometry

General covariance from the equivalence principle

May 7th, 2020

equivalence-principle general-relativity covariance

Are there controversies surrounding the principle of general covariance in GR?

August 1st, 2022

general-relativity covariance

The definition of transpose of Lorentz transformation (as a mixed tensor)

August 1st, 2022

linear-algebra conventions covariance tensor-calculus special-relativity

Why the generators of boosts transform like a vector under rotation?

May 10th, 2020

lie-algebra representation-theory covariance special-relativity vectors

Critique on tensor notation

August 1st, 2022

general-relativity covariance tensor-calculus notation linear-algebra

Why is the "canonical momentum" for the Dirac equation not defined in terms of the "gauge covariant derivative"?

April 13th, 2020

electromagnetism operators covariance gauge-invariance momentum

Levi Civita covariance and contravariance

August 1st, 2022

tensor-calculus covariance

Einstein Summation Convention: One as Upper, One as Lower?

August 1st, 2022

covariance tensor-calculus notation

What is the reason to believe that the laws of physics are same in all frames of reference?

January 27th, 2020

observers special-relativity inertial-frames covariance

How to show the spacetime interval is invariant in general?

December 25th, 2020

coordinate-systems general-relativity metric-tensor tensor-calculus covariance

Why should a (physical) principle be applicable to different systems in different positions in space and time?

December 17th, 2020

reference-frames covariance foundations

Understanding the difference between co- and contra-variant vectors

July 31st, 2020

covariance special-relativity vectors tensor-calculus

Vectors as functions?

June 21st, 2021

differential-geometry tensor-calculus vectors general-relativity covariance

Coordinate Transformation of Scalar Fields in QFT

July 2nd, 2020

coordinate-systems covariance differential-geometry field-theory tensor-calculus

Is Young's Modulus a Lorentz Scalar?

July 6th, 2020

special-relativity covariance solid-mechanics

What does the statement "the laws of physics are invariant" mean?

April 11th, 2021

special-relativity reference-frames inertial-frames symmetry covariance

Covariant vs contravariant vectors

August 1st, 2022

differential-geometry metric-tensor tensor-calculus vectors covariance

Invariance of action $\Rightarrow$ covariance of field equations?

February 23rd, 2022

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Difference between symmetry and invariance

August 1st, 2022

definition covariance invariants symmetry

Definitions and usage of Covariant, Form-invariant & Invariant?

March 14th, 2020

invariants covariance definition symmetry

How to understand the definition of vector and tensor?

July 15th, 2021

covariance coordinate-systems reference-frames vectors tensor-calculus

What exactly does it mean for a scalar function to be Lorentz invariant?

March 2nd, 2020

special-relativity lorentz-symmetry covariance invariants tensor-calculus

Are diffeomorphisms a proper subgroup of conformal transformations?

March 19th, 2020

symmetry conformal-field-theory covariance diffeomorphism-invariance differential-geometry

What is meant when saying "the partial derivative operator $\partial/\partial x^\mu$ is a covariant vector"?

September 29th, 2021

general-relativity differential-geometry tensor-calculus covariance vectors

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