g'day guys welcome back my name's Dylan I'm a PhD in physics Dropout I basically dropped
out because I realized it's much more important things in life like uh calculating the physics
of Magic the Gathering so here we are today I'm a big fan of this little card game so
I wanted to make a video on it I wasn't too sure what to do but I come up with a little
something so hopefully it's not too weird so if you like the video please leave a like
leave a comment uh come check out kelvpn we're about to launch the Affiliates program you
guys are going to earn commission so that's exciting but anyway let's get into this video
so in this card game uh players basically compete to defeat their opponents by summoning
these powerful creatures and casting spells but you know in order to do these things the
players must uh play these land cards right which generate this magical energy called
Mana so each basic land card can generate one Mana per turn uh you know with few exceptions
so summoning a creature that takes at least one Mana so here's the premise of my idea
we're gonna consider that the mechanism by which players creatures are transported onto
the battlefield is similar to using a webhole in particular a curb black hole right a rotating
uncharged black hole which will have a ring Singularity which could hypothetically act
in the way of like a traversable wormhole so we're going to presume that the characters
in the game already have access to a static uncharged black hole of about five solar masses
one solar mass is like two times ten to the 30 kilograms and that they're capable of inducing
rotation in these black holes you know given enough energy and then I've also got to say
for the purpose of this video and idea we'll consider it sufficient that the ring Singularity
have a radius that's equal to one meter okay so that the creature traversing the Wormhole
can pass through the ring contacting the singularity before you go please come check out the thing
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on anyone you get the sign up so we're about to launch that and then there's an AI project
I'm also about to launch called AI at my interior all right let me just do my uh nerdy thing
on the board and then we'll quickly run through it foreign [Music]
[Music]
over [Music] the math is done so let's spin up this black hole so for a ring ring Singularity
over radius a which is one meter remember the angular momentum J is going to be given
by this a m c we'll call that one basically the energy needed to spin a black hole can
be found using Einstein's mass energy equivalent which is E equals m c squared right you solve
that uh for the mass difference between the static and the rotating black hole which I've
said here rotational energy equals c squared parentheses M minus M1 M1 refers to the black
hole's irreducible Mass before being spun so M1 that just equals to five solar masses
that little thing over there means a solar mass in reality um we do not know where or
when a creature would find themselves after passing through a ring singularity so let's
just assume the characters in the game have some control over this moving on so the crystal
dulu raffini mass formula yes that's a real thing the crystal dulu raffini equation that
relates a rotating black hole's Mass to its irreducible mass then we're going to sub in
that one okay and rearrange and then you can find the total mass m as a function of M1
and a so then we sub 4 into 2 and solve for the rotational energy and that is 2.03 times
10 to the 39 Joule square and what the hell is G it's over here and C so you and the solar
mass is just five solar masses remember that's what M1 equals all right so let's talk about
obtaining energy from the land right so the eve rot must be contained basically within
the Mana of a single land card in the rotational energy now since a land can generate one Mana
every term the land must replenish this energy during the turn so we assume you know a single
turn of the game is one day and that the energy is replenished by the flux from the Sun so
if the game world has a similar Sun to Earth right the solar constant can be taken as GSE
equals 1.361 kilowatts per meter squared and then it's a pretty simple calculation to find
are the area of land needed to capture the rotational energy uh in one day with you know
so T equals one day so the area of a single land was found to be 1.73 times 10 to the
31 meters squared right that's equivalent to 4.28 times 10 to the 27 Acres that's greater
in area than the entire surface area of the Earth because area of Earth equals 5.1 times
10 to the 14 meters squared so that's 17 orders of magnitude larger than the entire area of
the surface of the Earth so we conclude that the energy rotational energy required to spin
up a static black hole with its ring Singularity of a equals 1 meter is 2.03 times 10 to the
39 Joule for a land card which would provide this energy once per day I accidentally put
a square there that's not meant to be square that's just joules so in conclusion based
on the large energies and land areas calculated right our characters in Magic the Gathering
are probably unlikely to use Kerr black holes to summon creatures unless they have access
to some other source of energy that we haven't considered so anyway guys make sure you like
the video and I'll see you guys next time