cannot be free and you can't deny the end is coming, the end is coming (part III)

(Roleplay entry. Continued from part II.)

"Your Grace, the calculations indicate--"

Hiro looked up from the desk.

"--that the rotational velocity has a maximum value of 225 km/s (140 mi/s) at 1,300 ly (82,000,000 AU) from the core, and it has its minimum possibly as low as 50 km/s (31 mi/s) at 7,000 ly (440,000,000 AU) from the core. Further out, rotational velocity rises out to a radius of 33,000 ly (2.1×109 AU), where it reaches a peak of 250 km/s (160 mi/s). The velocities slowly decline beyond that distance, dropping to around 200 km/s (120 mi/s) at 80,000 ly (5.1×109 AU). These velocity measurements imply a concentrated mass of about 6×109 M☉ in the nucleus. The total mass of the galaxy increases linearly out to 45,000 ly (2.8×109 AU), then more slowly beyond that radius."

"Okay, but can it be done?"

"It depends on if we can--"

"Never mind...begin the calculations."

He moved to the center of the room on the Gray Area.

"Read them aloud." He began to intone as the AI began to speak the theory, overlaying both to create form.

"CORONZON, ZACARE CA OD ZAMRAN, ODO CICLE QAA, ZORGE LAP ZIRDO NOCO VOVIN, HOATH--"

"Denote as D-quarks, leptonic. Denote as D-quarks--"

"The right-handed particles are those of the standard model. As the gauge symmetry is unbroken, physical particles must be singlets under SU(2) transformation, and we thus get the following particle spectrum, where g is the coupling constant of the gauge group SU(2)L and Dμ is the corresponding covariant derivative. We have used the unitary gauge--"

"Ilasa viviala pereta salamanu balata das acaro odazodi busada od belioraxa balita: das Inusi caosaji lusadanu emoda das ome od taliobe darlapa iehe ilasa mada zodilodarepe Zodacare od zodamaranu. Odo ciacle qaa zodoreje lape zodiredo noco mada hoathahe. San Tonium Sen'Hee'Kay Zanconium Spruto Menok Sal'Ensam..."

A sputtered noise from the speakers. "Your Grace--arming an active Weapon of Magical Destruction on board is a violation of protocol. After the Countess had the accident in that small 1940's town...you yourself said--"

"Shut up, Al--"

"Alakash, Manurvava, Aalakama--"

"--function jacobi(n, k)
assert(k > 0 and k % 2 == 1)
n = n % k
t = 1
while n ~= 0 do
while n % 2 == 0 do
n = n / 2
r = k % 8
if r == 3 or r == 5 then
t = -t
end
end--"

"--Zaranta, Karanta--"

"--n, k = k, n
if n % 4 == 3 and k % 4 == 3 then
t = -t
end
n = n % k
end
if k == 1 then
return t
else
return 0
end
end--"

Hiro began to type frantically on the holographic display.

{\displaystyle \left({\tfrac {\alpha }{\mathfrak {a}}}\right){n}\left({\tfrac {\beta }{\mathfrak {a}}}\right){n}=\left({\tfrac {\alpha \beta }{\mathfrak {a}}}\right){n}.}
(
α
a
)
n
(
α
b
)
n
=
(
α
a
b
)
n
.
{\displaystyle \left({\tfrac {\alpha }{\mathfrak {a}}}\right){n}\left({\tfrac {\alpha }{\mathfrak {b}}}\right){n}=\left({\tfrac {\alpha }{\mathfrak {ab}}}\right){n}.}

There was a very bright light...

(Continued in part IV.)