epistemology, science, kinds of knowledge, methodology
This is a re-do of the post Lorentz for space & time both relative? By making a few rearrangements, the contradictions disappear. Case 1 This case begins with: r´ = r – vt or t´ = t – rv/c². Consider then a linear function of these: r´ = γ (r – vt) or t´ = […]
Subluminal and superluminal Lorentz transformations Read More »
The solution to the quandary posed in the previous post, Limitations of the Lorentz transformation, is to begin with an alternate form of relative motion. In the case of the stantial component this is r´ = r – tc²/v. The relative stantial transformation is then: r´ = γ (r – tc²/v) and its inverse r
Complete stantial and temporal Lorentz transformations Read More »
Looking back at the previous posts, we can see that if we begin with the relativity of the spatial component of movement, the Lorentz transformation turns out one way: r´ = γ (r – vt) and its inverse r = γ (r´ + vt´) along with a characteristic speed, c, in all reference frames: r
Two Lorentz transformations based on relative space with absolute time and absolute space with relative time were presented here. Now we look at beginning with space and time both relative, in two different ways. R-R Case 1 This case begins with: r´ = r – vt and t´ = t – r/v. Consider then a
In Aristotle’s physics there exists a prime mover that is in a state of absolute rest so that the position in space and time of everything else is understood relative to this place of absolute rest. Consequently, the reference frames of two observers are the same. We still use this framework from the perspective of
The complete Lorentz transformation may be written as r′ = γ (r − ct(v/c)), ct′ = γ (ct – rv/c), and γ = (1 – v2/c2)–1/2, which applies only if |v| < |c|, and r′ = γ (r − ct(c/v)), ct′ = γ (ct − r(c/v)), and γ = (1 − c2/v2)–1/2, which applies only
This is a continuation of a series of posts that began with Lorentz for space and time. The standard Lorentz transformation applies only if |v| < |c|. The complete transformation for all real values of v is presented here based on both the relative space, absolute time (R-A) Galilean transformation as well as the complementary
Mathematics is the study of nothing. We make something out of nothing, acting the creator in a world of nothing. Here’s the story: In the beginning is nothing. Not totally nothing because we’re there. But a blank page, a clear slate, a tabula rasa. We draw a distinction, a part of nothing. The indistinct blankness
There are four perspectives on space and time depending on whether the observer is internal or external to space or time. The four perspectives are internal space with internal time, external space with internal time, internal space with external time, and external space with external time. The internal perspective is that of an observer traveling along
Change happens. In fact, everything in the physical universe is changing. Note that refers to things in the universe, not the universe itself. Whether or not the universe itself changes is another question. There are as many kinds of physical change as there types of energy: kinetic, thermal, chemical, electrical, electrochemical, electromagnetic, sound, and nuclear
