mrimer wrote:
This is a very interesting discussion to me, Trickster. You describe how particles cannot actually travel from the Edge to the Tip, assuming it is a "one-dimensional singularity". What about waves, like photons?
Photons exhibit a wave-particle duality when they are not interacted with by other non-virtual particles, but they obey the same rules. The only means by which they could pass through the gap is by quantum tunneling.
Essentially, think of it like this. If the slit is too narrow for the wave or particle to pass through, it bounces off. Here, the slit is infinitely thin, so only by quantum effects which allow impassible barriers to be bypassed can anything get through.
mrimer wrote:
What if the Tip were not a singularity, but an incredibly small space, possibly a millimeter in width?
Excellent question.
It's really difficult to say, though. It's a small thing for a mathematical space to work this way, but when you add physics, well...
If The Edge held a vacuum, and The Tip were large enough for matter to pass through, then matter would get sucked through The Tip and destroyed in a shower of gamma rays and other forms of high-energy radiation.
If The Tip held a vacuum, matter would get sucked through The Edge and promptly become a black hole sizeable enough to devour The Eighth.
If both have an atmosphere...I think it'd be the latter situation, unfortunately. There's more pressure at The Edge than The Tip, carried by virtual particles which easily cross the barrier (they did even when it was a singular point), so matter would flow from The Edge to The Tip and destroy The Eighth via a black hole.
There may be, of course, more forces at work here than the ones we're familiar with. But making a big space become a small space or vice versa is a kind of problem similar to the "
interior"
of a black hole. In many cases it will create an environment where part of the space is inaccessible to the Universe (where it doesn't really exist), and so the way you think about it must change by necessity. Physics is poor at handling such cases.
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