Victor Yakovenko has a derivation (see here) of the Lorentz Transformation (LT) in which he uses “only the equivalence of all inertial reference frames and the symmetries of space and time.” Because of the use of (length) reference frames and velocity, this is not completely symmetric. As we have seen, there is a dual Lorentz […]
A time clock is a device that measures a constant rate of internal motion. Time clocks are synchronized to a common event and rate of internal motion. A time clock is used by correlating its internal measure with other motions and events. There is a constant relationship between a time clock and a distance clock,
Although there are many experimental methods available to measure the speed of light, the underlying principle behind all methods [is] the simple kinematic relationship between constant velocity, distance and time given below: c = D / t (1) In all forms of the experiment, the objective is to measure the time required for the light
We follow the presentation of Guy Moore, formerly of McGill University, online here. The Doppler effect is the phenomenon we have all noticed, that a sound produced by a moving source, or which you hear while you are moving, has its perceived frequency shifted. Spacetime (3+1) If a source of sound makes a sudden bang
Speed of a motion is the time rate of length change, that is, the length interval with respect to a timeline interval without regard to direction. Pace of a motion is the space rate of time change, that is, the time interval with respect to a baseline interval without regard to direction. The symbol for
Coordinate Transformations with t x = space coordinate, t = time coordinate, v = velocity, u = pace Galilean transformation speed: x´ = x – vt and t´ = t, pace: x´ = x – t/u and t´ = t. Dual Galilean transformation speed: t´ = t – x/v and x´ = x, pace:
This continues the post on the Arrow of tense. Past, present, and future are characteristics of time. But they are also characteristics of places, of things, or events, etc. Yesterday was in the past, today is in the present, and tomorrow is in the future. Past places are remembered, present places are experienced, and future
Updated Aug. 2019 This post highlights several recent terms or definitions added to the glossary above. The distance is the metric of length space, the shortest length between two points in length space. Similarly, the distime is the metric of duration space, the shortest duration between two points in duration space. A time line is
I recently wrote about spatial rest and time here. This post is about the opposite: immediate motion, arriving at a destination instantly. Immediate motion means an infinite speed. An infinite speed results in an immediate change of place: something moves from one location to another in an instant. It’s here and there at the same
Two transformations of inertial reference frames are well-known: the Galilean and the Lorentz transformations. There is a third transformation as well, which will be called the dual Galilean transformation. Below is a derivation of all three transformations, closely following the paper Getting the Lorentz transformations without requiring an invariant speed by Andrea Pelissetto and Massimo
