A carrier is the baseline transmission (such as a wave) that is modulated for a signal. Carriers have minimum entropy. Their opposite, noise, has maximum entropy. A signal conveys a message between a sender and a receiver. The entropy of signals is between that of the carrier and noise. Carriers are the canvas for the […]
Consider the distinction between repeatable events from unrepeatable events. Repeatable events includes events that have repeated or may be repeated at will (as in a laboratory) or may possibly repeat in the future. Unrepeatable events are events that are very unlikely to repeat or are impossible to repeat. It is said that science only studies
This is an outline of an article on “The Symmetry of Space and Time”. I’ll update it as needed and add links to the parts as they are written. 0.0 Abstract 1.0 Introduction 1.1 Examples of multi-dimensional time, ancient and modern 1.2 Reference to related work 1.3 Overview of the paper 2.0 Simple motion in
First we show the work and energy in the linear motion of a particle with space-time (see J.M. Knudsen and P.G. Hjorth’s Elements of Newtonian Mechanics, 1995, p.51). Consider a particle of mass m moving along the r axis of r so all quantities are scalars. Newton’s second law is then m d²r/dt² = F,
There are many different musical temperaments that have been used to tune musical instruments over the centuries. They all have their advantages and disadvantages. But there is one musical temperament that is optimally acceptable: the equal temperament method in which the frequency interval between every pair of adjacent notes has the same ratio. This produces
The first edition of New Foundations for Classical Mechanics (1986) by David Hestenes included “Foundations of Mechanics” as Chapter 9. This was removed for lack of room in the second edition, but is available online as a pdf here. This length-time foundation may serve as a guide for the foundation of mechanics for duration-base. To
Let’s follow the orbit of a particle or the route of a vehicle as a curvilinear function with associated directions at every point. Measurement produces travel distance r, travel time t, with directions θ and φ. The directions may be considered as functions of either travel distance or travel time: θr, φr, θt, or φt.
The vass is to time (duration) as the mass is to space (length). As noted before here, the vass can be measured by a similar procedure as the mass. The mass and vass are inverses with opposite uses. The center of mass is the point that two or more particles (point masses) are balanced (or
First, here is a derivation of the spatio-temporal equations of motion, in which acceleration is constant. Let time = t, location = s, initial location = s(t0) = s0, velocity = v, initial velocity = v(t0) = v0, v = |v| = speed, and acceleration = a. First equation of motion v = ∫ a
A good summary of the myth of a long-running conflict between Christianity and science is in Timothy Larsen’s “War is Over, If You Want It” (September 2008). This warfare myth was invented in the 19th century by people such as TH Huxley who either should have known better or were purposely stirring up animosity. It
