Greg Egan on Nostr: But that’s spatial curvature. What about spacetime? We can embed a slice that ...
But that’s spatial curvature. What about spacetime?
We can embed a slice that includes time in a flat spacetime with two time dimensions and one space, and see the world line of an object oscillating in the borehole as a geodesic on that slice (the red curve here).
{
"id":"dd47a093fb05eb30ae85cbdf2ae58315cb99a77986dbdd8f445aa3657a1a767e",
"pubkey":"0037e9f1404aa866c76ed1358206ac5387eb2d3589361a3802af0f260bda26d7",
"created_at":1759495206,
"kind":1,
"tags": [
[
"e",
"c1ce5a1b95ec38aad28075c69cbd22b8fcea0b89dde15a5ee417b5e51b310f0b",
"wss://relay.mostr.pub",
"reply"
],
[
"imeta",
"url https://media.mathstodon.xyz/media_attachments/files/115/310/276/222/490/636/original/9ff2cbb44128b6e3.png",
"m image/png",
"dim 1012x1012",
"blurhash UdPG~YbF~EoyofxuWUIn?uoyIBaexuMyj@%M"
],
[
"proxy",
"https://mathstodon.xyz/users/gregeganSF/statuses/115310277870702180",
"activitypub"
],
[
"client",
"Mostr",
"31990:6be38f8c63df7dbf84db7ec4a6e6fbbd8d19dca3b980efad18585c46f04b26f9:mostr",
"wss://relay.mostr.pub"
]
],
"content":"But that’s spatial curvature. What about spacetime?\n\nWe can embed a slice that includes time in a flat spacetime with two time dimensions and one space, and see the world line of an object oscillating in the borehole as a geodesic on that slice (the red curve here).\n\nhttps://media.mathstodon.xyz/media_attachments/files/115/310/276/222/490/636/original/9ff2cbb44128b6e3.png",
"sig":"5399ebbafccb8cd546f4aed5c5f9234981409d7d791ff1a0dc0e3c5732af303a86d1f1ffc5b695f1e3d5773cfdbe8bc0d57693ef542fcbe2849c0c42f1595c7a"
}