Explorations of multidimensional space and time with linear and angular motion.
This is a topic I have addressed before, such as here. In this post I want to show some similarities and differences between the Galilean (Galileo) transformation and what I’m now calling the dual-Galilean transformation. There are many expositions of the Galilean transformation, such as here. It is standard to describe them in terms of […]
It is not well known that the Theory of Relativity is almost misnamed. Relativity was well known in physics since Galileo Galilei. That is, the relativity of space was well known. With Albert Einstein’s derivation of the Lorentz transform, the relativity of time was introduced. But the relativity of time was not of the same
As a generalist I tend to think of the big picture and push global conceptions, which can get speculative, but should provide insight in some way. There are many ways of slicing up history that show a pattern, but we crave meaning and so expect patterns. For example, it is helpful to adopt a rather
Motion science is variously called mechanics, dynamics, kinetics, or kinematics. This post will be concerned with the study of motion apart from its causes or consequences. Kinematics is the branch of classical mechanics which describes the motion of points (alternatively “particles”), bodies (objects), and systems of bodies without consideration of the masses of those objects
Note: previous posts on this topic are here and here. Motion flows. That is, there is always motion independent of us. We can also make standard motions that are effectively independent of us. They are called clocks. They can be used as standards of comparison to measure other motions. Clocks are needed for synchronous measurement
Although there are three dimensions of length and three dimensions of duration, I have pointed out before that we measure movement as either 3D length + 1D time (3+1) or 1D stance + 3D duration (1+3) or 1D stance + 1D time (1+1). The (1+3) perspective is the focus of this post. The measurement of
I have a “metric cube” which is a decimeter-sized cube that was used in the 1990s to promote the metric system: It was useful to hold 90mm discs but could also be used as a 3D ruler to measure length in three dimensions at the same time. One could instead use a 1D ruler three
I’m returning to a topic I wrote about here: time in ancient culture and thought. Look at Genesis 1, verse 3: And God said, “Let there be light,” and there was light. And God saw that the light was good. And God separated the light from the darkness. Now a modern person is thinking spatially
This is a summary of posts (such as here and here) about the application of relativity theory to transportation. This is different from applying theories of physics to other subjects such as economics since here it is real relativity, not some analogy. However, the application is an approximation, but that is the nature of transportation,
What would it mean for space to be one-dimensional? It would be similar to 1D time. Imagine a clock, except that instead of marking durations, it marks distances. It’s like an odometer for a vehicle that moves at a constant speed and never stops. Like this with units of distance (metres, kilometres, miles, etc.):
