Explorations of multidimensional space and time with linear and angular motion.
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
First, you know, a new theory is attacked as absurd; then it is admitted to be true, but obvious and insignificant; finally it is seen to be so important that its adversaries claim that they themselves discovered it. William James in his book Pragmatism These three phases can already be seen in explicating 3D time,
How practical is the mechanics of time-space? It’s at least as practical as the mechanics of space-time and in some case is easier to understand or more appropriate. This post begins a series to illustrate this based on the website Physics: Problems and Solutions, Kinematics. Problem 3 A car travels up a hill at a
Temporo-spatial physics parallels spatio-temporal physics. Here is a derivation of the corresponding equations of motion, paralleling the exposition at the Physics Hypertextbook. The one-dimensional equations of motion for constant relentation: Let t = time, t0 = initial time, r = displacement, u = lenticity, u0 = initial lenticity, b = relentation. First equation of motion
In a recent post, I defined levamentum as the lenticity divided by the mass (or times the vass). Here I show that levamentum is conserved, as momentum is. I will do this in 1D with a result that may be generalized to 3D time. Consider the equation of motion for a particle: (1/m) dℓ/dr =
The kinematics of 3D duration (3D time) have been explored here over the past year. Now let’s look at the dynamics of 3D duration. This will be done in 1D in order to allow generalizations to 3D length or 3D duration. Start with momentum, the mass times velocity: p = mv. According to Newton’s second
My favorite computer game was the old Moon Lander game. It simulated a moon lander firing retro-rockets to safely land on the moon. The player controlled how much fuel was used, and the object of the game was to land safely and quickly, before fuel ran out. In this game the amount of fuel and
