Ping-coincidence lattice "with a twist":
a "Null-Strut Wheel".
https://physics.stackexchange.com/questions/845793/can-this-set-of-causal-relations-with-8-fold-rotational-spatial-symmetry-be-fo
"Can this set of causal relations (with 8-fold rotational spatial symmetry) be found in a spacetime region of Schwarzschild geometry ?"
(PSE/q/845793)
(Enjoy it while it out-lasts the drive-by-assaulting ...)
#PingCoincidenceLattice #NullStrutWheel #Spacetime #Relativity
Can this set of causal relations (with 8-fold rotational spatial symmetry) be found in a spacetime region of Schwarzschild geometry?
Consider the set of causal relations given by the following description (and conveniently illustrated by the following picture, under suitable interpretation of what's shown there). We have:
48 non-
@lindsey
Tangent2 (incl. note to myself):
I've been thinking/writing/advocating #PingCoincidence #PingCoincidenceLattice #PingDuration (cmp. in German "Ping-Koinzidenz" "Ping-Koinzidenz-Gitter" "Pingdauer") as basic construction or method of measurement in #Relativity implementing [Einstein's maxime](http://einsteinpapers.press.princeton.edu/vol6-trans/165?highlightText=coincidences)
[Your article](https://decomposition.al/blog/2023/01/18/enforcing-causally-ordered-message-delivery-on-the-senders-side/) uses the term "ack" ("#acknowledgement"); correspondingly #AckCoincidence #AckCoincidenceLattice
but not "AckDuration" !
(1/2)
Volume 6: The Berlin Years: Writings, 1914-1917 (English translation supplement) page 153
@ocfnash
http://olivernash.org/2018/07/08/poring-over-poncelet/index.html
Awesome!
I'd love to find out about #Poncelet generalizations or related results in 3+1 dimensional flat #MinkowskiSpace, with
- all relevant edges along light cones (Are those "singular" and perhaps problematic, even in 3+1 D ?), and
- the \(n\)-sided polygon generalized to a #PingCoincidenceLattice (cmp. my sketch https://mathstodon.xyz/@MisterRelativity/109435130217990848 )
#SpaceTime #InertialFrame #geometry #relativity
@ngons
https://media.mathstodon.xyz/media_attachments/files/109/508/095/623/465/923/original/8e491ea678a51830.png
Neat!
Related question:
Attaching \(n\) equal tetrahedra face-to-face in some 3D-sequence, how close (in terms of a positive fraction of edge length) can two vertices be, as a function of \(n\) ?
#PingCoincidenceLattice #Spacetime
Frank Wappler