No microscope. I said spheres as a simplifying assumption to enable me to think about the problem
by drawing upon the well-studied sphere packing problem.
This too makes sense. More so than my original premise that finer particles (spheres) should pack more efficiently. In reviewing some sphere packing algorithms, I now find that the radius of the sphere does not affect packing efficiency.
Rather, the packing algorithm seems to be all that...
Plausible sounding ideas.
Crushing down doesn't do much. Ground and whole both pretty much in-compressible.
Kitchen scale shows no discernible weight difference.
Why does ground flax seed consume about 30% more volume than whole flax? It would seem to me the finer particle size would result in the ground requiring less volume, as the "sphere packing" inefficiencies would be less?
Is the time since the Big Bang the same for every point in our universe?
If so, does that imply there really is a "present" moment everywhere and
not just in my immediate locality?
I am sorry, but I don't understand your answer. Are you implying the gravitational wave energy came from the kinetic energy of the 2 pre-collision BHs?
Each of the two BHs in the collision brought in matter and energy prior to merge, neither emitting any significant energy prior to merge. Same for the combined BH after merger was complete. So, my question is, what is the source or mechanism for the 3 Sun M worth of energy release into...
"It might help if you gave some more details about what you are trying to figure out."
I was trying to understand how to physically measure the coordinates if the origin is set at the center of the spherical mass.
I understand if spherical coordinates are set at the origin, the 2 angles are...
What is the physical interpretation of Cartesian coordinates in GR? Say, e.g., a system centered at the center of a spherical mass. What are x,y, and z physically, i.e., how are they measured?
It is pretty easy for a physics student to grasp the equivalence between mass and energy.
But, Units of length, mass, and time were established before Einstein came along with
E=MCsquared
My question is: "Why is the proportionality constant between M and E simply Csquared?"
Is this just a...
Well Marcus, you are right. Much of it is too technical for me. But, 2 questions;
1 There was no discussion of entropy pre/post bounce. Any comment on this?
2 How has the paper been received by both bounce and non-bounce mavens?
Thank you Marcus. I will study the paper.
I asked my question as I had found estimates ranging between the Planck length (observable universe) and about 100 kilometers.
I have 2 basic questions:
1. Since a type (m,n) tensor can be created by component by component multiplication of m contravariant and n covariant vectors, does this mean an (m,n) tensor can always be decomposed into m contravariant and n covariant tensors? Uniquely?
2. Since a tensor in GR , or...
I have just completed reading an English translation (The Great Books version) of Newton's Principia and found it rough going. Does anyone know of a modern English translation that adheres to the proposition sequence but puts each idea and proof into an easy to understand form, e.g., such as a...