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This is a wire frame model 3D-printed or made from
matchsticks. At the centre is a small solid sphere
matt black to represent the event horizon of the
singularity. The wires are of two types: equi-spaced
straight lines radiate from the event horizon
to its surface
in the direction of the pull of gravity, and
spherical Buckminster-Fuller geodesic shells surround and
are concentric with the event horizon.
In a manner analogous to the way in which a line contour
on a two dimensional map joins and indicates those
positions on the map where the variable plotted has a
certain specific value, the shells represent the surfaces
space where spacetime has a certain value of curvature.
The radius of the shells increases in such a manner that
curvature decreases by a defined amount between shells.
The radiating straight lines intersect with the geodesic
spheres at suitable vertices to fix the spheres in their
The inner shells and the inner segments of the radiating
lines would be painted red graduating via the other
spectral colours to the outer blue, to depict the red shift
experienced closer to the event horizon.
Calculating the actual model geodesic shell radii is
completely beyond my abilities, sorry.
Beware the Jabberwock, my son ... [8th of 7, Oct 02 2014]
[calum, Oct 03 2014]
||It's not an orrery if it doesn't have rotating spikes supporting models of orbiting bodies. But it is a very cool idea of a wireframe model so [+]
||How singularity is it? And indeed how orrery?
||The "orrery" part could be the equatorial accretion disc.
||Quasar emission from the rotational axis would be excellent.
||Given the fearsome gradients imposed by the Schwartzschild radius,
physical scaling to maintain authenticity may be problematic. Thou
shouldft applye thyfelfe untoe thie Hofue of Profeffor Steffen Hawking,
whereat 'tis faid thatt knolledge of fuch thingies mae by hadde.
||Thanks [pocmloc], I know and there is also another
problem; an orrerey represents the solar system, not
a black hole. I should have put it in a less trendy
category with a more mundane title. but I am glad
you like the concept.
||//Hofue// Prefumably where he feaftf on tofu,
unleff it'f eaten firft by a mofue.
||... and then after he died, the dealers added four zeroes to the prices
||// an orrerey represents the solar system, not a black hole
||Well, surely a black hole was a sun, and who's to say that there isn't somewhere in the universe a black hole being orbited by other teeny black holes?
||Come on MB, you of all people should know the rules of when to and when not to use a long s.
||Could 'iso-spacetime-curvature surfaces' therefore
be used to depict the spacetime field a
associated with a pair of orbiting black holes as MB
suggests? The second black hole would distort the
geodesic frames surrounding the first black hole in
a certain way.
||Could such a 3D printed model framework perhaps
also be used to visualize electric fields around
charged objects, where the radiating lines depict
the direction of the maximum voltage gradient and
the 'Onion layers' depict voltage? Imagine for
example a figure of a person arms aloft and legs
akimbo with a tracery of lines radiating and
encircling the mannequin?
||Sounds fair enough, can you tune it to 432hz though