Matters relating to length and duration in physics and transportation
Maps of travel times have various names, e.g., time scale maps, isochrone maps, etc. Often a geographic map forms the background so that travel time is superimposed on distance traveled. Occasionally, the time scale replaces the distance scale and the map looks distorted from a geographic perspective, but is correct from a travel time perspective. […]
This blog has described how as the distances between places cover three dimensions of space, so the durations between events cover three dimensions of time. One way of looking at this is as a map with the distance and duration given between places, such as this from the Interstate Drive Times and Distances: There are
The case for 3D time is very simple: space is based on the measurement of distance and time is based on the measurement of duration. As the distances between places cover three dimensions of space, so the durations between events cover three dimensions of time. As distance may be measured going from or toward a
In everyday life 1D space and 1D time are typically used. We are concerned with how far away something is (travel length), how long will it take to get there (travel time), what the speed is (apart from direction). Unless we are doing something in which size or direction are important, 2D is all we
A geometric (or geometrized) unit system is a system of natural units in which the base physical units are chosen so that the speed of light in vacuum, c, and the gravitational constant, G, are set equal to unity. Sometimes Coulomb’s constant, ke, and the electric charge, e, are also set to unity. The General
The natural concept of time is solar time, which is based on the Sun’s position in the sky. But local solar time or local mean time varies by longitude. With the spread of railroads in the 19th century, there was a need for time zones to standardize time and simplify east and west travel. The
This is a continuation of what I wrote on this topic here. IV Apart from time zones and daylight savings time, noon means midday, the time that the sun is directly overhead, when the sun crosses the meridian. Is noon the time when the sun is directly overhead or is vertical the direction of the
As I’ve shown, there are three dimensions of time as well as space. That makes six dimensions in all, which I’ve written about before, such as here. There may be reasons to use the full potential six dimensions but usually it is better to contract that to four or two dimensions. We need terms to
It has been thought best to introduce new terms for temporo-spatial physics since although in some respects the concepts are similar to standard terms of physics, in other respects they mean the opposite to those of space-time physics. Here is a compilation (updated 2021): lenticity (len·tic′·i·ty) is the rate of change of dischronment with respect
Note: terminology updated Apr. 2021. See glossary above. Isaac Newton’s three laws of motion and law of gravity apply to space-time, the 3D space (spatiocosm) with 1D time of classical physics. What do these temporo-spatial laws look like, with 3D time and 1D space? Newton’s space-time laws of motion state: Law I: Every body continues
