Recent content by Rising Eagle

Thank you Russ and DaveC for sticking with me on this. I believe I'm beginning to digest the concept and have it gel internally Optical illusion resonates with me. It doesn't get me all the way there, but if I make the connection that a photon will always be in the same inertial frame...

I agree my thinking might be leading me to inadvertently acknowledge an absolute motion, but by analysis, not by assumption. I observe and I ask. The idea that any observer sees a consistent picture as all others providing that all observers apply a transformation to correct for their points of...

Some additional points can help clarify: By direct mathematical analogy, electrostatic physics (coulomb's law) is identical to the physics of Newtonian gravity where mass is replaced by charge. Once again, the same as in Newtonian gravity, there is no distortion of space. In terms of...

I say yes. The motion of the emitter is impressed on the photons. How, I don't know. Consider the observer above the plane looking down. No. I just now made it up to focus attention on my real question. I'll look over your thought experiment. Thx for the link.

Forgive my confusion, but consider a second earth-moon pair. Say pair one is moving east toward an origin at nonrelativistic speed with earth-moon oriented north south. Say pair two is moving west toward an origin with the same orientation. Each pair shoots laser beams between the Earth and moon...

Ok, so light is sliding sideways. Is there a mechanism for the sideways slide or just supposition? Is the light coming from the laser connected to the laser and therefore sliding sideways with the laser independent of the target? Also, is the reflected light from the target sliding sideways with...

\ My bad about the time of flight. I remembered it wrong. As to your point about leading, it can't work. Both the moon and the Earth are each others' target and the automated reflector on the moon does not lead the Earth when it returns the light beam. I mention that in the paragraph of my...

I'm with the original poster. A photon has no frame of reference needed. It always has no rate of ticking of its internal clock no matter what, even if there are no observers of any kind. This almost implies some kind of universal frame of reference. SR only deals with observers at lower than...

The laser ranging of the moon doesn't make sense. The moon has a special mirror on it that doesn't reflect incoming light along the same angle as the angle of incidence only on the opposite side of the perpendicular, but instead reflects light back exactly on the same path as the light's...

Spacetime is a host habitat in which physical fields, particles, photons reside. Any physical entity has the property of a location in spacetime specified by x,y,z,t. In an orbit around a mass such as earth, the path of an orbiting body like the moon is a 2-D geometric object, either ellipse or...

I am thrilled with the clarity of this explanation. There are some points within that I will pick out because I could use some elaboration. Some kind of physical thinking must have lead to this formulation (so what was it?) or else Clausius must have been fiddling with mathematical formulas...

It didn't seem too far off topic to let people know about the lecture Kip Thorne (Feynman professor emeritus at cal tech) just finished up about an hour ago (it's now almost 6pm here in Pasadena) at cal tech. He described the early efforts to develop the idea for the movie Interstellar and then...

Vector Spaces are Abstract I'm a bit late to the party, but I believe I have something to add. The hole in the logic of which comes first inner product or orthogonality (chicken or egg) has sunk many a students' boats. Here's the patch for the hole: Linear spaces are basically abstract sets...

Ok, so the dual space and inner product can be defined differently, but they seem to be principally the same thing. Your example of Σvnwn is one way to define an inner product. But as you said, one can potentially define many possible inner products on it. Consider 2-D real vector space V with...

This is very good. So my next question is: can a dual space be defined for each and every possible linear space? If the answer is yes, does that imply that an inner product can always be defined as well? This has relevance to two of my goals. The first is to counter example my second...