Let us begin with (1) the motion of a body between two events and (2) two ways of measuring the extent of that motion: length and duration (or time). The measurement of length and duration is coordinated so that both measures are of the same motion. Length and duration are measured by a rigid rod […]
Historians establish the facts of history, of what happened in the past. They do this with a variety of sources, some documentary, some physical, and whatever else they find is relevant. Key particulars are more significant than universals in establishing the facts of history. Historians may consider scientific theory in doing this, but they may
A theme of this blog is that space and time (i.e., length space and duration space) are dual concepts, which means they are two ways of understanding the same thing. But in what ways are space and time opposite concepts? Space is oriented toward its origin, the place that motion begins. Time is oriented toward
Other posts on centrism are here. A moderate is one who takes two opposing positions and selects something in between. The opposing positions may be anything, so there are many people who call themselves moderate (or sometimes centrist). But moderation in this sense is dependent on the different positions one selects as the ends of
An odologe (o’-do-loje) is a continuous, independent measurement of length. That is, it measures an ever-increasing length, which is the placepoint, similar to how a clock shows the timepoint. The term is a combination of (h)odo(s) (as in path) and loge (as in horologe, a clock). An odologe is an odometer that runs constantly at
Independent variable is a quantity that is not dependent on another quantity, which is either (a) a quantity chosen before an experiment or race, or (b) an ever-increasing quantity. Dependent variable is a quantity that whose value is a function of another variable. Length is measured by a rigid rod. 3D length space is length
There are three different contexts for 3D time with 1D space (stance), depending on whether stance is continuously increasing and, if so, whether there is a conversion factor between 3D space and 3D time: (A) Stance is not continuously increasing. This is the situation of a race or sport in which game time has a
One of the original purposes of a blog was a web log, that is, a log of the interesting sites one has visited. This posting is a list of links to webpages that are notable in some way. * Voting and Elections * Approval voting – Voting each candidate yea-or-nea Demeny voting – This is
What follows are excerpts from Ramsay MacMullen’s book Christianizing the Roman Empire, A.D. 100-400 (Yale, 1984). He begins with historiography pointers relevant to religious history. My subject here is the growth of the church as seen from the outside, and the period is the one that saw the church become dominant, and Europe Christian. p.vii
The spacetime interval is invariant over the Lorentz transformation (LT). The following is a proof of this for the inverse LT with length space axes x, y, and, z; temporal axis t (time line), velocity v, and maximum velocity c, along with β = v/c and γ = 1/√(1 − β²): The invariant interval is
