Lorentzian

There has been a resurgence of interest in Lorentzian relativity.

Are Changes Brewing and How Does the Mind Fit In? 2008

There has been a resurgence of interest in Lorentzian relativity.

Are Changes Brewing and How Does the Mind Fit In? 2008

One of the underlying assumptions of general relativity is that spacetime can be represented by a Lorentzian manifold with signature (+, -, -, -) or (-, +, +, +) – where the signature of a metric tensor is just the number of positive and negative eigenvalues of the corresponding real symmetric matrix once it is diagonalised.

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

A very important thing to remember: The dark star calculations are done for a three-dimensional Euclidean space, while the black hole calculations are done for a four-dimensional Lorentzian spacetime (there is a big difference between the two).

Objections to Kaku and Liu’s “How to Time Travel?” 2009

The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite.

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

What is NOT a Riemannian manifold is the familiar Lorentzian manifold of general relativity (of which the Minkowskian manifold of special relativity is a special case).

Bad Language: “Riemannian Manifold” 2009

The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite.

Bad Language: “Riemannian Manifold” 2009

General Relativity applies on Lorentzian manifolds, of dimension greater than two.

“On the Origin of Gravity and the Laws of Newton” by Erik Verlinde 2010

General Relativity applies on Lorentzian manifolds, of dimension greater than two.

The Language of Science – it’s “just a theory” 2010

One of the underlying assumptions of general relativity is that spacetime can be represented by a Lorentzian manifold with signature (+, -, -, -) or (-, +, +, +) – where the signature of a metric tensor is just the number of positive and negative eigenvalues of the corresponding real symmetric matrix once it is diagonalised.

Bad Language: “Riemannian Manifold” 2009