nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x (nprofile…yu7x) - I think this situation is also fine-tuned in the sense that it's on the borderline between two dramatically different behaviors, one for R > 9M/4 and another for R < 9M/4.
But now I'm guessing that the singularity at r = 0 when R = 9M/4 is *not* naked, because light attempting to leave from r = 0 will never quite manage to escape to infinity.
Maybe here's another way to say that. Suppose you take this delicately poised solution with R = 9M/4 and do this thought experiment. You drill a thin hole to the center of the sphere (not thick enough to affect the gravitaitonal field much) and you drop a lantern down from the surface and watch it fall. I'm guessing that you never quite see it hit the center: it just keeps slowing and redshifting, like a lantern thrown into a black hole.
Is that right?
John Carlos Baez
npub17u…8pd6m
2025-10-05 00:06:27 UTC
in reply to nevent1q…8naw
Author Public Key
npub17u6xav5rjq4d48fpcyy6j05rz2xelp7clnl8ptvpnval9tvmectqp8pd6mSeen on
wss://relay.mostr.pubPublished at
2025-10-05 00:06:27 UTCEvent JSON
{
"id": "c104da39a7183643b61a376fe3e8b7b445588e83f63103c9f60fe9207d482bad",
"pubkey": "f7346eb283902ada9d21c109a93e83128d9f87d8fcfe70ad819b3bf2ad9bce16",
"created_at": 1759622787,
"kind": 1,
"tags": [
[
"p",
"5fb5d869121f82243d7d155f9a521b94b28dc8e5e37c87d35d065a57de1ec127",
"wss://relay.mostr.pub"
],
[
"p",
"0037e9f1404aa866c76ed1358206ac5387eb2d3589361a3802af0f260bda26d7",
"wss://relay.mostr.pub"
],
[
"e",
"897d4dae75ad180db17025542aaca14b84756ca85e5077c19f62dc29aef4e108",
"wss://relay.mostr.pub",
"reply"
],
[
"proxy",
"https://mathstodon.xyz/users/johncarlosbaez/statuses/115318638988581738",
"activitypub"
],
[
"client",
"Mostr",
"31990:6be38f8c63df7dbf84db7ec4a6e6fbbd8d19dca3b980efad18585c46f04b26f9:mostr",
"wss://relay.mostr.pub"
]
],
"content": "nostr:nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynsacyu7x - I think this situation is also fine-tuned in the sense that it's on the borderline between two dramatically different behaviors, one for R \u003e 9M/4 and another for R \u003c 9M/4.\n\nBut now I'm guessing that the singularity at r = 0 when R = 9M/4 is *not* naked, because light attempting to leave from r = 0 will never quite manage to escape to infinity.\n\nMaybe here's another way to say that. Suppose you take this delicately poised solution with R = 9M/4 and do this thought experiment. You drill a thin hole to the center of the sphere (not thick enough to affect the gravitaitonal field much) and you drop a lantern down from the surface and watch it fall. I'm guessing that you never quite see it hit the center: it just keeps slowing and redshifting, like a lantern thrown into a black hole. \n\nIs that right?",
"sig": "64a67a7b14af2cead3973f9daf2f6a9fe19fe522cb5e8845493bc73b9ee82cf257ee877fac362e59e978c70a4553931589b86c54d8986638a564cfd8742dff18"
}