Explorations of multidimensional space and time with linear and angular motion.
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
The first chapter of the first book of the Bible, Genesis 1, has attracted many commentators over the centuries. Recent scholarly work attempts to place it in the context of ancient Near East writings. (Near East is the European moniker for what Americans call the Middle East.) That however undervalues the unique, nuanced text of
Reichenbach and Grünbaum noted that “the relation of simultaneity within each inertial reference frame contains an ineradicable element of convention which reveals itself in our ability to select (within certain limits) the value to be assigned to the one-way speed of light in that inertial frame.” (John A. Winnie, “Special Relativity without One-Way Velocity Assumptions:
If we are blindfolded or are in a room with no light, we still have an awareness of where we are relative to our memory of where we were and our imagination of where we might be. We are always here in relation to there. That is our consciousness of space. Our consciousness of time
In recent post on Lorentz and dual Lorentz Transformations, I derived a complete set of Lorentzian transformations: The Lorentz transformation is speed: r′ = γ (r − vt) and t′ = γ (t – rv/c²), with γ = (1 – v²/c²)–1/2, or pace: r′ = γ (r – t/u) and t′ = γ (t –
A ruler is a measuring device with a fixed size. A ruler with a fixed length marked in standard linear units is a linear ruler. A linear ruler measures linear space, i.e., length or distance, which is the extent of an object or motion that is contiguous to a linear ruler. The units of linear
I’ve written several related posts, such as one on the Complete Lorentz transformation. This post extends the previous post on the Galilean transformation to the Lorentz transformation, and what I’m now calling the dual Lorentz transformation, in order to show their similarities and differences. There are many expositions of a Lorentz transformation, such as here.
