https://gdpark.blog/tags/spacetime/Recent content in Spacetime on gdpark.blogHugoenSat, 06 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-03-spacetime-and-lorentz-invariance/Thu, 20 Apr 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-03-spacetime-and-lorentz-invariance/A casual dive into four-vectors and spacetime — why we need (t, x, y, z) once Einstein smashes simultaneity and each inertial frame gets its own time!https://gdpark.blog/posts/special-relativity-04-timelike-spacelike-and-null-intervals/Fri, 05 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-04-timelike-spacelike-and-null-intervals/Picking up right where we cut off last time — we finally classify spacetime intervals as timelike, spacelike, or null, and yes, hyperbolas make a comeback!https://gdpark.blog/posts/modern-physics-04-the-twin-paradox-in-special-relativity/Thu, 20 Aug 2015 00:00:00 +0000https://gdpark.blog/posts/modern-physics-04-the-twin-paradox-in-special-relativity/Finally cracking the twin paradox using length contraction — whoever changed direction was the one actually moving, and the math totally checks out hehe.https://gdpark.blog/posts/special-relativity-05-hyperbolic-geometry-and-non-euclidean-geometry/Fri, 05 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-05-hyperbolic-geometry-and-non-euclidean-geometry/We jump straight into Lorentz transformations and spacetime diagrams, playing with inertial frames and Einstein’s brain-smashing assumption that light always travels at c!https://gdpark.blog/posts/special-relativity-06-time-dilation-and-length-contraction/Fri, 05 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-06-time-dilation-and-length-contraction/Using spacetime’s weird geometry — and a Pythagorean theorem I totally named myself lol — to show why time dilates and lengths contract when you’re moving fast.https://gdpark.blog/posts/special-relativity-07-lorentz-transformation-and-lorentz-boosts/Fri, 05 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-07-lorentz-transformation-and-lorentz-boosts/We finally wrap up the Lorentz transformation by using hyperbolic angles to assign ct’, x’ coordinates to events in a relatively moving frame!https://gdpark.blog/posts/special-relativity-08-four-vectors/Sat, 06 May 2017 00:00:00 +0000https://gdpark.blog/posts/special-relativity-08-four-vectors/Closing out the special-relativity series with a look at four-vectors — their notation, basis vectors, and how spacetime intervals set them apart from plain 3D vectors!