Author Message
A shadow on the heart of the Earth

Joined: 23 Feb 2009
Posts: 1136

Thanks: 28
Thanked 7 Times in 7 Posts

Location: Near where Broken Social Scene is gonna play on October 15th, 2010
10899 White Gold Dollars
Tokens
HP

User Items:

 Posted: Tue Jan 19, 2021 9:59 pm    Post subject: A model of Smolin's postulate I'm referring to Lee Smolin and his idea of changing laws of physics. So there is an article in the Stanford Encyclopedia of Philosophy on something called infinitary logic. The idea is to have a language allowing conjunctions, variables, and quantifiers with ranges indexed by transfinite numbers. The format reads (roughly) as L(k,l), where k,l are infinite ordinals like omega or perhaps very tall ordinals associated with very large cardinals. Let us suppose that the universe has an L assigned to it. At t = 0, k,l are 0. But due to the passage of time, these values increase. The initial expansion of space then reflects this shift, in fact space is correlated with l while time itself corresponds to k. I'm writing this on a phone so unfortunately I can't justify this particular correspondence right now as it requires an equation I can't write via phone, but anyway the idea is that by now, time's ordinal is the initial ordinal for aleph-2. The rules of dimensional perception say that we can see complete enclosures in the next dimension down from the one we're "on," like we can see all sides of polygons at once and if we were four-dimensional we could observe polyhedra likewise. So if the Continuum is aleph-1, then we can "see" continuity due to us being in time that is higher-dimensional. Now, this model is supposed to explain the accelerated expansion of space as a result of a shift in L for our universe. Modulo Smolin's postulate, the model predicts, therefore, an infinite sequence of shifts, each of which "sort of" alters the "laws of physics." At worst, this could make for a good hard scifi novel called THE SHIFT EDIT: according to the equation, btw, the next switch would be to aleph-4, not aleph-3, and the one after would be to aleph-(omega-4). So perhaps events much more extreme than accelerated expansion. Does this make the model into a testable hypothesis? I hope so! EDIT 2: Here's the equation, partly: {{{{0 ↑00} + ℵ1} × ℵ2}3} ↑↑ ℵ4}
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First
 All times are GMT Page 1 of 1

 Jump to: Select a forum The Watch----------------Announcements + Suggestions + Q&A + HelpThe Summonsing The Waymeet----------------The GalleyGeneral Discussion ForumGeneral Fantasy/Sci-Fi DiscussionGeneral Literature DiscussionIn Pursuit of MalloryJ.K. Rowling ForumGravin ThrendorSportsJ.R.R. Tolkien ForumVespersStephen King ForumStar Wars and Star Trek ForumGeorge R. R. Martin ForumPC & Console GamesThe LibraryAndelainForum GamesdANdeLION's Comics CaveTV ShowsFlicksSteven Erikson ForumScions Of Eiran Stephen R. Donaldson Forums----------------The First and Second Chronicles of Thomas CovenantThe Last Chronicles of Thomas CovenantDissecting The LandThe Runes of the Earth1st Chronicles Fatal Revenant2nd Chronicles Last Chronicles The Entire ChroniclesThe Chronicles Art GalleryThe Gap SeriesAncillary DocumentationMordant's NeedThe Great God's WarGeneral SRD Discussion and Other WorksCasting the AuguryGroup ReadingsAgainst All Things EndingThe Last DarkSeventh DecimateThe War Within Revelstone----------------Hile Troy's Think-TankThe CloseThe LoresraatDoriendor CorishevThe Hall of GiftsKevin's Watch Anthology Forum Kevin's Watch----------------PantheonThe Watchy Awards ForumAcropolisGM's DungeonD&D-DarkwoodInfernoVampire: Dark AgesCoercriThe ArchivePurgatoryDemon: The Fallen BorderlandsProphetsZombie ApocalypseHeart of GodEmpiresNationstatesValley of EdenD&D Dark HopeD&D Weretiger's CurseVampire: RequiemValley of BloodAesir & VanirRogue TraderPhoenix Prime Acropolis 1.0Balance of PowerWarhammer Compendium GalacticaLovecraftian ConversionHeart of God: The OutsidersTest 2
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum