Matters relating to length and duration in physics and transportation
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
You can measure distance by time. How far away is it? Oh about 20 minutes. But it doesn’t work the other way. When do you get off work? Around 3 miles. – Jerry Seinfeld Actually, you can measure time by distance, as was done above but expressing the time by distance requires that time be
It is worth returning to my post on Lorentz and Dual Lorentz transformations in order to make the point that the Lorentz transformation is sufficient for 3D time. Superluminal speeds are not required for 3D time, contrary to what others have said, such as here. What is required for time-space (1+3) is the use of
Space-time is relativistic 3D space + 1D time. It obscures the 3D nature of time. The opposite is time-space with 3D time + 1D space, which obscures the 3D nature of space. Both of these have their advantages and disadvantages. To avoid the disadvantage of obscuring 3D space or 3D time use 3D space +
This is part 3 of an open series of posts on terminology; see part 1 and part 2. As another way of indicating the dimensions of space and time, let space-time mean unified 3D space + 1D time, and let time-space mean unified 3D time + 1D space. Consequently, Galilean time-space requires what I’m calling
