It’s About Time
It's about time,
It's about space,
About strange people in the strangest place.
It's about time,
It's about flight,
Travelin' faster than the speed of light.
It's about Minkowski spacetime!
Minkowski space
combines inertial space and time manifolds (x,y) with a non-inertial reference
frame of space and time (x',t') into a four-dimensional model relating a
position (inertial frame of reference) to the field (physics). A four-vector
(x,y,z,t) consisting of coordinate axes such as a Euclidean space plus time may
be used with the non-inertial frame to illustrate specifics of motion, but
should not be confused with the spacetime model generally.
https://en.wikipedia.org/wiki/Minkowski_space
What this says!!!! I may not understand this, but Einstein apparently did!
If space time is hyperbolic and not Euclidean how does this change things?
Minkowski space is used to describe the light cone
, e.g. world lines of light, moving through space.
This cone looks very much like a one-sheet hyperboloid
narrowed to a point at the origin, which is identical to a two-sheet hyperboloid
where the separation between the two sheets is zero.
I have previously suggested that the shape of the universe
is hyperbolic. (IMHO it appears locally Euclidean but is universally hyperbolic, much
like geometry on the surface of the earth appears locally Euclidean but, over
very large distances comparable to the radius of the Earth, is non-Euclidean and
spherical. I know that am not the originator
of that hypothesis. https://dbeagan.blogspot.com/2022/07/forever.html
If the shape of the universe is hyperbolic, then mathematics
should seek non-Euclidean solutions. This has an implication on the speed-volume
curve used in my field of traffic engineering, but also seems to have a bearing
on:
·
physics, the Lorentz transform might be γ=1+ln(cosh(v/c)±sinh(v/c)), gravity might be only an apparent force and not one
of the three intrinsic forces;
·
statistics, the only valid normal distribution might be
the logistics distribution with s=0.5;
·
sociology and political science, tolerance, a
SD of 0.6413, may be an intrinsic part of group dynamics, and
·
many other disciplines ( e. g. I suspect
that my speed-volume curve findings will have an implication on Fluid Dynamics.)