Recent content by gamburch

edpell: If one has a wave equation in a space with four spatial coordinates and a universal time, one can imagine a wave equation in that space. If an observer is moving at the speed of that wave in a given direction in that space then, for him, time equals the coordinate in his direction of...

bcrowell: I have to travel this next week, but will try to get the posting more up front. To answer your question, my posting is about giving an explanation for Special Relativity. To the depth pursued in the note, I can't see that it makes any new predictions.

edpell: You might take a look at the reply to GRDixon.

GRDixon: Thanks for the reply. Doesn't it bother you that Special Relativity (SR) has observers, moving with respect to each other, exist in different Universes? In my note I make up a space with four-space coordinates and a universal time coordinate. This is not the space of SR nor is it the...

DanRay: Thanks for the time you spent writing a reply. My post agrees with you that Special Relativity (SR) is not Galiliean as normally defined. Where we differ, I believe, is that you accept SR as true. I believe I note that many will feel this way. What I seek is to answer the question as...

Cyberdyno: Perhaps my overly long discussion of the difference between a space with four real coordinates and a time parameter containing an aether that has inertial and elastic properties is a bit obscure. Please be assured I am trying to keep its properties to the simplest I believe...

Thank you Yogi. I truly appreciate this recollection and will be mulling it over; however, today is the day for starting my Christmas home brew. I'll be back soon. Thanks again.

Yogi: Thanks for your interest. Gravitational potential has the units of velocity squared. If one uses the value of the density of matter of the universe published by Peeblers some time ago, one can compute the gravitational potential locally arising from all matter in the universe by merely...

The gravitational constant is equal to (3Pi/4)H(squared)/density of matter in the universe. I hope this helps.

Let me describe an experiment done at the cyclotron at Princeton in the 1950's. Muons were accelerated to near the speed of light by the cyclotron and their rate of decay while in the cyclotron measured in the laboratory. Sure enough the rate slowed greatly for the moving muons. Since nothing...

Pardon me xsquared is the gravitational potential.

Instead of attempting to compute the potential caused by each mass in the Universe, as seen by the particle, we shall assume the mass in the Universe can be smoothed out to a constant density d. Then, assuming the measured expansion rate of the universe and its estimated density, we find that...

The basic idea is that a distance between to points is invariant under rotation. The equations you present state the fact for the two space with a signature 0. Another way of looking at the matter is to apply the equations of a Lorentz transformation to x so that you see how x' looks to x. Then...

Yogi: Let me give you some food for thought. One can calculate the average desnity of matter in the universe and a value has been given by Peebles. In addition the Hubble constant is known. The potential from a gravitationg body has the units of speed squared. One can thus compute the potential...