Here we expand 4D Galilean spacetime into 6D Galilean spacetime, based on section 1.3 Galilean spacetime of The Geometry of Relativistic Spacetime: from Euclid’s Geometry to Minkowski’s Spacetime by Jacques Bros (Séminaire Poincaré 1 (2005) 1 – 45). [p.3] We start with a representation space whose points are interpreted as the “physical events”. Any motion […]
A theory of creation (also known as a creation theory) is an older term that has been overshadowed by the terms creation science and especially creationism since 1980 (see Ngrams here and here). This overlooks the long history of theories of creation, and implies that the subject is of recent vintage, purely a reaction to
This post is about the conservation of energy and lethargy. I wrote about the conservation of levamentum here. See also the post on Work, effort and energy. First, here is a derivation of the conservation of energy from classical physics: It is required that forces must be conservative: F(t2) − F(t1) = 0 for all
An experimenter turns on a device and transmits a signal from point A to point B. Two people play catch and toss a ball from one at point A to the other at point B. A truck transports its cargo from the terminal at point A to the terminal at point B. All these are
The outline below is also available in pdf form here. Spiral/Helical Motion A helix is the geodesic of a cylinder; if we develop the cylinder on which the helix is traced, the helix becomes a straight line. Radius r (or a or R or A); velocity v, arc length s, arc time, w, pitch length
The outline below is also in pdf form here. Angular velocity and angular lenticity Velocity, v = Δs/Δt, lenticity, u = Δt/Δs so u = 1/v and v = 1/u except if u or v are zero Zero velocity: no motion but time changes because time is independent Zero lenticity: no motion but length changes
Kinematics, the geometry of motion, studies the location of geometric objects parameterized by time. This is a 3D length space with functions representing the path or trajectory as the locus of places occupied by points. It has a dual mathematics of 3D duration space with functions representing the course of motion as the locus of
This continues the previous post here. The parametric equation for a circular helix around the x1-axis with radius r and slope b/a (or pitch 2πb) is x1(t) = bt, x2(t) = r cos(t), x3(t) = r sin(t). Its arc length equals t · sqrt(r² + b²). The parametric equation for a circular helix around the
Science Today the word science usually means naturalistic science. Historically, naturalism was not dominant in modern science until the nineteenth century, when it was promoted by those who were called “naturalists” (not to be confused with a naturalist as someone who studies natural history). These naturalists promoted the idea that science was limited to naturalism.
Creation and evolution typology The first issue that arises in developing a typology for ideas about creation and evolution are the terms themselves: they are sufficiently ambiguous that their meaning differs even by the same author in the same work. This can be part of a fallacy of equivocation or it can simply mean the terms are
