Quantum

Quantum is the 3rd prestige layer of New Game+++ after Infinity and Eternity. It resets everything lower than it, but you will get quarks (QK).

Quantum.

Quarks

When you go quantum, you can get quarks based on your meta-antimatter.(Except your first quantum, which always gives 1 QK.) The formula can be seen below.

Quarks can be assigned to be a red, green, or blue quark, each generating its own specific color power. Red power increases galaxy efficiencies, green power increases extra replicanti galaxies, and blue power increases dilated time production. Note: You can only gain color power of one color at a time, whichever one has the most quarks. The amount you gain of that color power per second is equal to the number of that color quarks minus your second highest quarks. For example, if you have one red, three green, and two blue quarks, you will gain 1 green color power per second(3 green quarks(your highest) - 2 blue quarks(your second highest).

When you reach 1.79e308 quarks, you get 3 QoL features: Quantum autobuyer modes, assign all and auto-assignment.

QK formula

BaseQKGain=10^QKExp, while

QKExp=$\frac{log_{10}MA-379.4}{280}$

280 can change to 279.8 if have this achievement doesn't exist 4

If QKExp>1.2(~2.5e714 MA or 15~16 quarks): QKExp=QKExp²/1.2

If QKExp>738: QKExp=(QKExp*738)^0.5 if haven't neutrino upgrade 8

f QKExp>10000: QKExp=(QKExp*10000)^0.5

Color Power bonus formula

In the following formulas, [Color]Expo=log10([Color]Power+1)

Red bonus(better galaxy efficiency)

Not in dilation:RedBoost=RedExpo^0.5/10+1

In dilation:RedBoost=RedExpo^2/3/10+1

If RedBoost>1.3,RedBoost=(RedBoost*1.3)^0.5

If RedBoost>2.3,RedBoost=(RedBoost/2.3)^{0.5*(1+NeutrinoBoost4Power)}*2.3 (This is not applied if you are in dilation, and without having more than 8 levels in ToD upgrade 2(better TP formula) or ghostified)

Green bonus(more extra replicated galaxies)

GreenBoost=GreenExpo*2+1

If GreenBoost>4.5,GreenBoost=(GreenBoost*4.5)^0.5

Blue bonus(better dilated time production)

BlueBonusExpo=(BlueExpo)^0.5

If BlueBonusExpo>log10(1300),BlueBonusExpo=(BlueBonusExpo/log10(1300))^{(1+GHPBluePower)/2}*log10(1300)

If BlueBonusExpo>100,BlueBonusExpo=min(BlueBonusExpo, log10(BlueBonusExpo)*(40+10*log10(BlueBonusExpo-90)))

And finally,BlueBonus=10^{BlueBonusExpo}

Gluons

When you quantum with at least 2 different types of quark assigned, you get gluons. There are 3 different types of gluons: red-green, green-blue, and blue-red gluons, each created by different combinations of the 3 quark types. When you get gluons after going quantum, one of the two types of quarks will be turned into gluons. The type of quark that will get turned into gluon is based on the name of the gluon type, the first color in the name is the one that will be turned into a gluon. For example: When you create a blue-red gluon, the blue quarks turn into gluons, but the red quarks stay.

Gluon Upgrades

There are a total of 12 main gluon upgrades (4 costing each of 3 types), plus quark doublers.

Gluon Upgrades.

Red-green upgrades

Description	Details	cost
Remote galaxy cost scaling is reduced.	Each remote galaxy multiply galaxy cost by 1.001(instead of 1.002)	1
Galaxies are more effective based on your free galaxies.	x$1+(\frac{FreeGalaxy}{5000})^{0.25}$	2
First Meta Dimension is boosted by dimension boosts.	x$DimBoost$(simple mult)	4
Galaxies are 50% stronger, but electrons are 30% weaker and normal galaxies are 60% weaker.		100

Green-blue upgrades

Description	Details	cost
You gain replicanti faster based on your tickspeed reduction multiplier.	x$1+log_{10}TickReduce$	1
Replicanti interval increases 2x slower.	Interval is slower per 616 OoM(from 308)	2
You gain 2.3x IP by buying IP mult.		4
Massively decrease the tickspeed cost multiplier increase to 1.25x.		100

Blue-red upgrades

Description	Details	cost
You gain more tachyon particles based on your dilated time.	x$1+log_{10}(1+DT)$	1
Sacrifice effects dilated time production.	$2.2\hat{\ }(\frac{SacEffect}{1e6})^{0.25}$	2
Tachyon particles boost the dilated time production more by a little bit.	x$TP^{0.1}$	4
Multiplier per ten dimensions boosts Meta Dimensions.	x$MultPer10^{0.0003}$	100

Quark doublers

These double the gain of quarks you get on quantum. There are three places to buy them, they start out costing 500 of one of the three gluon types. When you buy one with one kind of gluon, the price to buy with that gluon increases by 100x, however it will not increase the costs to buy with other gluons.

Paired Challenges Gluon Upgrades

After unlocking paired challenges, there will be 3 more upgrades for each type of gluon.

Red-green upgrades

Description	Details	Cost
Slow down Dark Matter Galaxies effect by 13%.	The 'Slow down' means each galaxy count as less galaxy when calculating the cost. For example, with the 7e15 RG upgrade,Each Dark Matter Galaxy will count as 0.87 Galaxy. Example: If you gan get 1487 normal galaxies without the 7e15 RG upgrade, after buying this, you can get 1500 normal galaxies because the cost of galaxy 1500 now is just as high as galaxy 1487 without the upgrade.	7e15
Slow down Distant Antimatter Galaxies effect by 13.2%.		4e19
Slow down Remote Antimatter Galaxies effect by 10%.		3e28

Green-blue upgrades

Description	Details	Cost
Replicated Galaxies slow down Dark Matter Galaxies effect.	$\frac{\sqrt{ReplGalaxy}}{5.5}$%	7e15
Infinity power slows down Distant Antimatter Galaxies effect.	$100-100/(\frac{log10(InfinityPower)^{0.25}}{2810})$%	4e19
Infinity points slow down Remote Antimatter Galaxies effect.	$100-100/(\frac{log_{10}log_{10}IP}{100})$%	3e28

Blue-red upgrades

Description	Details	Cost
Tachyon particles slow down Dark Matter Galaxies effect.	$min(1.3\sqrt{log_{10}TP},14)$%	7e15
Meta-dimension boosts slow down Distant Antimatter Galaxies effect.	$100-100/(\frac{MDB}{340})$%	4e19
Eternity points slow down Remote Antimatter Galaxies effect.	$100-100/(\frac{log_{10}log_{10}EP}{80})$%	3e28

Tree of Decay Gluon Upgrades

After unlocking Tree of Decay, there will be one more upgrade for each type of gluon.

Description	Details	Cost
Red unstable quarks decay slower based on your RG gluons.	x$(1+0.505*log_{10}(\frac{Gluon}{1e565}))^{1.5}$	1e570 Red-Green gluon
Green unstable quarks decay slower based on your GB gluons.		1e570 Green-Blue gluon
Blue unstable quarks decay slower based on your BR gluons.		1e570 Blue-Red gluon

Quantum Speedruns

Quantum Speedruns unlock when you go quantum within a certain amount of time. You get more rewards the faster you go quantum.

Quantum Speedruns.

Time needed	Reward
12 hours	Start with 20,000 eternities.
9 hours	Unlock time theorem autobuyer.
6 hours	Start with all Eternity Challenges completed and eternity upgrades bought.
4.5 hours	Start with dilation unlocked.
3 hours	Unlock dilation option for eternity autobuyer. (You will start a dilation run instead of normal eternity run when you auto-eternity for a certain times)
2 hours	Start with all dilation studies & non-rebuyable dilation upgrades before Meta Dimensions unlocked except passive TT gen upgrade.
1 hour	Unlock the first meta dimension autobuyer and rebuyable dilation upgrades autobuyer.
53.3 minutes	Unlock the second meta dimension autobuyer.
46.7 minutes	Unlock the third meta dimension autobuyer.
40 minutes	Unlock the fourth meta dimension autobuyer.
33.3 minutes	Unlock the fifth meta dimension autobuyer and keep time studies and passive TT gen upgrade
26.7 minutes	Unlock the sixth meta dimension autobuyer.
20 minutes	Unlock the seventh meta dimension autobuyer.
13.3 minutes	Unlock the eighth meta dimension autobuyer.
6.67 minutes	Unlock meta-dimension boost autobuyer.
5 minutes	You keep all time studies in mastery studies.
4 minutes	You can buy all Meta Dimensions if it is affordable in your current meta boost.
3.5 minutes	Start with 1e13 eternities.
3 minutes	Start with 1e25 meta-antimatter on reset.
2.5 minutes	You can turn on automatic replicated galaxies(if you have TS131).
2 minutes	Rebuyable dilation upgrades and Meta Dimensions autobuyer are 3x faster.
1.5 minutes	Start with 1e100 dilated time and dilated time does not reset(by the second repeatable upgrade) until quantum.
1 minute	Unlock quantum autobuyer.
30 seconds	Replicanti does not reset on eternity.
20 seconds	Unlock manual mode for eternity autobuyer and sacrifice galaxy autobuyer.
15 seconds	Rebuyable dilation upgrade autobuyer can buy max all upgrades.
10 seconds	You can buy max meta dimension boosts and start with 4 meta-dimension boosts.
5 seconds	You gain banked infinities based on your post-crunch infinitied stat. (Infinitied stat you can get this infinity will be counted when getting banked infinitied stats.)

The 6 hours, 4.5 hours, 33.3 minutes, and 10 seconds rewards can be toggled.