FactChecker's latest activity
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FactChecker reacted to Hornbein's post in the thread Undergrad My basic understanding of set theory with
Like.
Right. Take any two unequal rational numbers x and y. The open set (x,y) -- all rationals between x and y -- is infinite. -
FactChecker reacted to jedishrfu's post in the thread Undergrad My basic understanding of set theory with Like.
Your observation is encoded in Cantor’s notion of aleph numbers, which measure different sizes of infinity. The natural numbers have...
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FactChecker replied to the thread Undergrad My basic understanding of set theory.That's a good observation. There are multiple ways of having infinities within infinities within ... Cantor developed that idea...
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FactChecker reacted to robphy's post in the thread Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime with Like.
First, I acknowledge what you say about spacetime diagrams being confusing. So, some of my efforts have tried to develop additional...
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FactChecker reacted to pervect's post in the thread Undergrad Relational event horizons? with
Informative.
My $.02. Intuition is great, but - it's just not reliable. The only way to know if your intuition is correct or not is to look at the... -
In flat spacetime (Special Relativity) it's conventional to talk about "observers" or "inertial observers". This often means...
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FactChecker replied to the thread Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime.This is now my favorite video explanation of the Minkowski diagram. It is great that a school like Stanford makes this available on the...
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FactChecker reacted to Sagittarius A-Star's post in the thread Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime with
Love.
Derivation of the Lorentz transformation in Minkowski spacetime diagrams: -
FactChecker reacted to martinbn's post in the thread Undergrad Relational event horizons? with Informative.
My favourite popular book is Geroch's "General Relativity from A to B".
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FactChecker replied to the thread Undergrad Relational event horizons?.IMO, there are some good books that attempt to motivate the concepts of SR and GR with minimal mathematics. They are "Relativity...
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Whoever then has the effrontery to study physics while neglecting mathematics should know from the start that he will never make his...
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FactChecker reacted to Sagittarius A-Star's post in the thread Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime with Like.
The ##x'## axis rotates counter-clockwise (hyperbolic rotation of the coordinate system), see https://www.geogebra.org/m/NnrRvA46 Also...
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FactChecker replied to the thread Undergrad Relational event horizons?.I have another point to make: Modern physics is very much guided by the mathematics, often in direct opposition to the "intuition" of...
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It's rubbish, in short. That's why it doesn't make sense. This is analogous to saying that a hill is steep because the contour lines on...
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FactChecker reacted to pervect's post in the thread High School Am I understanding the concept of proper frame of reference? with Like.
I concur with Pallen's observations. MTW goes into the explicit geometric details of how to construct a proper frame of reference. And...