Uniform linear motion is the motion of a body at a constant linear rate. Uniform circular motion is the motion of a body at a constant angular rate. In both of these cases the spatial extent of motion and the temporal extent of motion are in a constant proportion. Because of this constant proportion, from […]
There are two ways in which the length and the time (duration) of a motion are symmetric. The better-known way is the use of a conversion factor, notably the speed of light, which is the same for all inertial observers. All lengths can be turned into time intervals or all time intervals can be turned
Expanding on a previous post here, this is a summary of the equations of motion for space-time and time-space. See also a pdf version in the Time-space Glossary option above. s = displacement magnitude, t = time magnitude, v = velocity, v0 = initial velocity, a = acceleration, w = lenticity, w0 = initial lenticity,
In a sense, every distance can be converted into a duration or vice versa: simply multiply duration by the modal speed or multiply the distance by the modal pace. For example, every time can be multiplied by the speed of light in a vacuum and so be replaced by a distance. This is usually done
Expanding on the previous post here, this is a summary of the equations of motion for space-time and time-space. See also the Time-space Glossary option above. r = displacement magnitude, t = time magnitude, v = velocity, v0 = initial velocity, a = acceleration, w = lenticity, w0 = initial lenticity, b = relentation. Space-time
The classic equations of motion are for 3D space + 1D time (3+1). Equations of motion for 1D space + 3D time (1+3) were presented here. How do these equations relate to each other? Can one convert directly from one form to the other form? Consider 1D space + 1D time (1+1), which can be
I’ve compiled a glossary of new terms on the top menu of this blog, or see here. These terms were coined for the study of 1D space + 3D time. It will be updated as needed. A parallel comparison of spatio-temporal and temporo-spatial terms was added here.
An isodistance map shows the contours of equal distances from a central point. These would be circles on a map if distance is measured “as the crow flies.” The shapes vary if distance depends on a road network: But how do you tell if two distances are the same? Different observers have different distance measuring
I have written about the characteristic (modal) rate for a mode of travel. This rate provides a factor for converting spatial into temporal measures and vice versa. The characteristic rate is the maximum (free flow) rate, though it could be the minimum rate. A characteristic rate is independent of any and all particular rates in
What I’ve called the characteristic rate (modal rate) of travel or motion may be any rate independent of the travel mode, such as the minimum or maximum rate. The best-known example is the speed of light in a vacuum, c, which is generally considered the maximum speed for physics. A characteristic rate that is a
