NG+++ Wiki
Register
No edit summary
Tag: Visual edit
m (fix formula)
Tag: Visual edit
(46 intermediate revisions by 12 users not shown)
Line 1: Line 1:
  +
{{Header}}[[File:Mastery Studies-1.png|thumb|216x216px|The Mastery Studies tree (as of Emperor Dimensions update) (Note:the bottom 2 row have a bug where 2 row studies is same and this picture is very out of date)]]
{| class="article-table"
 
  +
Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied(all dilation studies doesn't affect and isn't affected by Mastery studies cost multiplier) and you can't buy a mastery study if you have bought a mastery study in a row below that one(for example, if you have bought 272 without buying 261, you can no longer buy 261 anymore, but still can buy 271, 273)
! colspan="5" |More about NG+++:
 
  +
|-
 
  +
To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.
|Post-Eternity:
 
|[[Eternity Milestones]]
 
|[[Eternity Challenges]]
 
|[[Time Dilation]]
 
|
 
|-
 
|Pre-Quantum:
 
|[[Meta Dimensions]]
 
|[[Mastery Studies]]
 
|
 
|
 
|-
 
|Post-Quantum:
 
|[[Quantum]]
 
|[[Electrons]]
 
|[[Quantum Challenges]]
 
|[[Replicants]]
 
|}
 
[[File:Mastery Studies-0.png|thumb|472x472px|The full Mastery Studies tree.]]
 
Mastery Studies are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied. To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have 1e100 dilated time.
 
   
 
== List of Mastery Studies ==
 
== List of Mastery Studies ==
Line 27: Line 8:
 
!Study Number
 
!Study Number
 
!Base Cost (in Time Theorems)
 
!Base Cost (in Time Theorems)
  +
!Need studies
 
!Description
 
!Description
 
!Details
 
!Details
Line 33: Line 15:
 
|241
 
|241
 
|1e71
 
|1e71
  +
|<nowiki>-</nowiki>
|You gain 2.2x (from 2x) more IP by buying IP mult.
 
  +
|The IP mult multiplier IP gain by 2.2x per upgrade
|
 
  +
|These will be useless if you have 4 GB gluon upgrade
|1.00x
 
  +
|1x
 
|-
 
|-
 
|251
 
|251
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts.
 
|Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts.
  +
|These will be useless if you have neutrino upgrade 6 or in quantum challenge 6
|
 
|2.50x
+
|2.5x
 
|-
 
|-
 
|252
 
|252
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 1 galaxy later per 7 free galaxies.
 
|Remote cost scaling starts 1 galaxy later per 7 free galaxies.
  +
|These will be useless if you have neutrino upgrade 6
|
 
|2.50x
+
|2.5x
 
|-
 
|-
 
|253
 
|253
 
|2e71
 
|2e71
  +
|241
 
|Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies.
 
|Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies.
  +
|These will be useless if you have neutrino upgrade 6
|
 
|2.50x
+
|2.5x
 
|-
 
|-
 
|261
 
|261
 
|5e71
 
|5e71
  +
|251
 
|Dimensional boost costs scale by another 1 less.
 
|Dimensional boost costs scale by another 1 less.
  +
|These will be useless if you are in quantum challenge 6(can't gain)
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|262
 
|262
 
|5e71
 
|5e71
  +
|251
 
|Dimensional boosts affect Meta Dimensions at a reduced rate.
 
|Dimensional boosts affect Meta Dimensions at a reduced rate.
  +
|max(((Dimensional boosts)/15000-19),1), effect starts at 285,000
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|263
 
|263
 
|5e71
 
|5e71
  +
|252
 
|Meta-dimension boosts affect dilated time production.
 
|Meta-dimension boosts affect dilated time production.
  +
|(Meta-dimension boosts)+1
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|264
 
|264
 
|5e71
 
|5e71
  +
|252
 
|You gain more tachyon particles based on your galaxies.
 
|You gain more tachyon particles based on your galaxies.
  +
|2*(((Galaxies)+1)<sup>0.25</sup>
|
 
 
|6x
 
|6x
 
|-
 
|-
 
|265
 
|265
 
|5e71
 
|5e71
  +
|253
|You can buy replicate chance intervals over 100%.
 
  +
|You can buy replicate chance upgrade over 100%.
|
 
  +
|Post 100% chance makes a replicanti can replicate more replicanti(1000% chance means every replicanti will become 11 per tick)
 
|6x
 
|6x
 
|-
 
|-
 
|266
 
|266
 
|5e71
 
|5e71
  +
|253
 
|Post-400 max replicated galaxy cost scaling reduced.
 
|Post-400 max replicated galaxy cost scaling reduced.
  +
|change from exponent CM^2 ^1.2 to +3000
|
 
  +
  +
-
  +
  +
These will be useless if you are in quantum challenge 5(cost over e6 Dc IP)
 
|6x
 
|6x
  +
|-
  +
|e13
  +
|1e72
  +
|[[]]
  +
|Eternity Challenge 13
  +
|
  +
|
  +
|-
  +
|e14
  +
|1e72
  +
|[[]]
  +
|Eternity Challenge 14
  +
|
  +
|
  +
|-
  +
|d7
  +
(dilstudy7)
  +
|2e82
  +
|252
  +
|Unlock Electrons
  +
|Studies from this on can only be seen if you [[quantum]]ed at least once.
  +
|
 
|-
 
|-
 
|271
 
|271
 
|2.74e76
 
|2.74e76
  +
|252,d7
 
|You can buy beyond 1ms interval upgrades but the cost starts to increase faster.
 
|You can buy beyond 1ms interval upgrades but the cost starts to increase faster.
  +
|^10/9 in after 1ms bought
|Studies from this row on can only be seen if you [[quantum]]ed at least once.
 
|
+
|2x
 
|-
 
|-
 
|272
 
|272
 
|2.74e76
 
|2.74e76
  +
|252,d7
 
|Pick all paths on all 3-way splits in time studies.
 
|Pick all paths on all 3-way splits in time studies.
 
|
 
|
|
+
|2x
 
|-
 
|-
 
|273
 
|273
 
|2.74e76
 
|2.74e76
  +
|252,d7
|Replicate chance is massively increased.
 
  +
|Replicate chance boosts itself.
|
 
  +
|^log10(BaseChange)<sup>5</sup>
|
 
  +
  +
5 can be increase with neutrino boost
  +
|2x
 
|-
 
|-
 
|281
 
|281
 
|6.86e76
 
|6.86e76
  +
|271/272
 
|Replicanti multiplier boosts DT production at a greatly reduced rate.
 
|Replicanti multiplier boosts DT production at a greatly reduced rate.
  +
|10<sup>((log10(Replicanti multiplier)^0.25)/10)</sup>
|
 
|
+
|4x
 
|-
 
|-
 
|282
 
|282
 
|6.86e76
 
|6.86e76
  +
|272/273
 
|Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate.
 
|Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate.
  +
|10<sup>((log10(Replicanti multiplier)^0.25)/15)</sup>
  +
|4x
  +
|-
  +
|d8 (dilstudy8)
  +
|2e84, 16,750 electrons
  +
|272
  +
|Unlock Quantum Challenges
  +
|
  +
|
  +
|-
  +
|d9 (dilstudy9)
  +
|4e85, QC8 completed
  +
|d8
  +
|Unlock Paired Challenges
 
|
 
|
 
|
 
|
Line 123: Line 162:
 
|291
 
|291
 
|2.14e77
 
|2.14e77
  +
|272,d9
 
|You gain 1% of your EP gained on eternity each second.
 
|You gain 1% of your EP gained on eternity each second.
  +
|This section of mastery studies will unlock when you unlock paired challenges.
|
 
|
+
|1x
 
|-
 
|-
 
|292
 
|292
 
|2.14e77
 
|2.14e77
  +
|272,d9
 
|You can gain tachyon particles without disabling dilation.
 
|You can gain tachyon particles without disabling dilation.
 
|
 
|
|
+
|1x
 
|-
 
|-
 
|301
 
|301
 
|4.29e77
 
|4.29e77
  +
|291
|Remote cost scaling starts 1 galaxy later per 4.45 extra replicated galaxies.
 
  +
|Remote cost scaling starts 1 galaxy later per 4.15 extra replicated galaxies.
|
 
  +
|These will be useless if you have neutrino upgrade 6
|
 
  +
|2x
 
|-
 
|-
 
|302
 
|302
 
|2.68e78
 
|2.68e78
  +
|272,d9
 
|Pick all time studies before mastery studies.
 
|Pick all time studies before mastery studies.
  +
|Allows you to buy all the time studies up to 241 (the game will automatically buy them for you).
|
 
  +
|131,072x
|
 
 
|-
 
|-
 
|303
 
|303
 
|4.29e77
 
|4.29e77
  +
|292
 
|Meta Dimensions are stronger based on your galaxies.
 
|Meta Dimensions are stronger based on your galaxies.
  +
|4.7<sup>(log10(max((Galaxies),1))^1.5)</sup>
|
 
|
+
|2x
 
|-
 
|-
 
|311
 
|311
 
|4.29e77
 
|4.29e77
  +
|291
|Replicanti multiplier to Infinity Dimensions is 16.5x stronger.
 
  +
|Replicanti multiplier to Infinity Dimensions is 17.3x stronger.
|
 
 
|
 
|
  +
|64x
 
|-
 
|-
 
|312
 
|312
 
|4.29e77
 
|4.29e77
  +
|292
|Meta-dimension boosts are 2% stronger and costs scale by 1 less.
 
  +
|Meta-dimension boosts are 4.5% stronger and costs scale by 1 less.
|
 
 
|
 
|
  +
|64x
 
|-
 
|-
 
|321
 
|321
 
|4.29e77
 
|4.29e77
  +
|291
|If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong.
 
  +
|If the multiplier per ten dimensions is 1x,then change it to 1e430x.
  +
|Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong.
  +
|2x
  +
|-
  +
|323
  +
|4.29e77
  +
|292
  +
|Cancel dilation penalty for Normal Dimensions boost from replicanti.
  +
|
  +
|2x
  +
|-
  +
|d10 (dilstudy10)
  +
|4e87, PC4 completed
  +
|302
  +
|Unlock Replicants
 
|
 
|
 
|
 
|
Line 171: Line 232:
 
|322
 
|322
 
|4.29e77
 
|4.29e77
  +
|302,d10
 
|Tickspeed boosts DT production at a greatly reduced rate.
 
|Tickspeed boosts DT production at a greatly reduced rate.
  +
|Studies from this row on can only be seen if you have unlocked [[Replicants]].
|
 
  +
---
|
 
  +
  +
i = sqrt(log10(-(Tickspeed)/10000))/20000
  +
  +
But if i is bigger than 110, then i<sub>2</sub> = sqrt(27.5i)+55
  +
  +
The result is 10^(i or i<sub>2</sub>)
  +
|2x
 
|-
 
|-
 
|331
 
|331
 
|3.41e81
 
|3.41e81
  +
|322
|Dimension Supersonic scaling start 160,000 later and increases cost slower by three less.
 
  +
|Dimension Supersonic scaling start 340,000 (actually 240,000) later and increases cost slower by 3 less.
|
 
  +
|These will be useless if you are in quantum challenge 5 on starts later(always start instantly and always incease at this speed) or quantum challenge 6(can't gain)
|
 
  +
|2x
 
|-
 
|-
 
|332
 
|332
 
|9.04e76
 
|9.04e76
  +
|322
 
|You gain replicanti faster based on your normal galaxies.
 
|You gain replicanti faster based on your normal galaxies.
  +
|(max(Normal Galaxies,1)
|
 
|
+
|2x
 
|-
 
|-
 
|341
 
|341
|1.93e81
+
|5.02e78
  +
|342
|Replicants gather quarks faster based on galaxies.
 
  +
|Preons boost DT production at reduced rate. (also boost TP gain)
|
 
  +
|2<sup>log10(sqrt((Preons)+1))</sup>
|
 
  +
|1x
 
|-
 
|-
 
|342
 
|342
|2.89e81
+
|7.54e78
  +
|331
|Strengthen all types of replicated galaxies based on your gathered quarks.
 
  +
|All replicated galaxies are stronger and use the same formula.
|
 
 
|
 
|
  +
|1x
 
|-
 
|-
 
|343
 
|343
 
|7.54e78
 
|7.54e78
  +
|332
|Strengthen free galaxies up to replicated galaxy strength based on your dilated time.
 
  +
|Free galaxies are as strong as a normal replicated galaxy.
|
 
 
|
 
|
  +
|1x
 
|-
 
|-
 
|344
 
|344
 
|5.02e78
 
|5.02e78
  +
|343
|Galaxies are more efective based on your replicants.
 
  +
|Replicated galaxies are more effective based on your preons.
|
 
  +
|1+0.17(log10(1+((Preons)/1e7))<sup>0.25</sup>)
|
 
  +
|1x
 
|-
 
|-
 
|351
 
|351
 
|1.21e80
 
|1.21e80
  +
|344
|Time shards boosts all meta dimensions.
 
  +
|Time Shards boosts all Meta Dimensions.
  +
|(Time shards)<sup>1.4e-8</sup>
  +
|4x
  +
|-
  +
|d11 (dilstudy11)
  +
|3e90, 10 worker replicants
  +
|344
  +
|Unlock Emperor Dimensions
  +
|
  +
|
  +
|-
  +
|361
  +
|1.59e79
  +
|351,d11
  +
|Hatch speed is faster based on your tachyon particles.
  +
|Studies from this row on can only be seen if you have unlocked [[Emperor Dimensions]].
  +
---
  +
  +
(Tachyon particles)<sup>0.01824033924212366</sup>
  +
  +
These will be useless if you have neutrino upgrade 2
  +
|1x
  +
|-
  +
|362
  +
|1.59e79
  +
|351,d11
  +
|Reduce the softcap for preon boost.
  +
|
  +
|1x
  +
|-
  +
|371
  +
|2.12e79
  +
|361
  +
|Hatch speed is faster based on your extra replicated galaxies.
  +
|(1+(Extra replicated galaxies))<sup>0.3</sup>
  +
  +
These will be useless if you have neutrino upgrade 2
  +
|2x
  +
|-
  +
|372
  +
|6.62e79
  +
|371
  +
|Hatch speed is faster based on your time shards.
  +
|1+(sqrt(log10(1+(Time shards)))/20)
  +
These will be useless if you have neutrino upgrade 2
  +
|2x
  +
|-
  +
|373
  +
|2.12e79
  +
|362
  +
|You get more preons based on your galaxies.
  +
|(1+(Galaxies))<sup>0.55</sup>
  +
|2x
  +
|-
  +
|381
  +
|6.62e79
  +
|371
  +
|Hatch speed is faster based on your tickspeed reduction multiplier.
  +
|1+(log10(Tickspeed reduction)/(-135))
  +
These will be useless if you have neutrino upgrade 2
  +
|1x
  +
|-
  +
|383
  +
|6.62e79
  +
|373
  +
|Blue power boosts Meta Dimensions.
  +
|3200<sup>log10(1+(Blue power))^0.25</sup>
  +
|2x
  +
|-
  +
|382
  +
|6.62e79
  +
|383
  +
|Eighth Dimensions boost Meta Dimensions.
  +
|(Eighth Dimensions)<sup>3.14159265... or pi</sup>
  +
|1x
  +
|-
  +
|391
  +
|8.28e79
  +
|381
  +
|Hatch speed is faster based on your meta-antimatter.
  +
|(Meta-antimatter)<sup>8e-4</sup>
  +
  +
These will be useless if you have neutrino upgrade 2
  +
|1x
  +
|-
  +
|393
  +
|8.28e79
  +
|383
  +
|Workers boost Meta Dimensions.
  +
|400000<sup>sqrt(log10(1+(Workers)))</sup>
  +
|1x
  +
|-
  +
|392
  +
|8.28e79
  +
|391/393
  +
|Preons boost all Emperor Dimensions.
  +
|1.6<sup>sqrt(log10(1+(Preons)))</sup>
  +
|1x
  +
|-
  +
|d12 (dilstudy12)
  +
|3e92, 10 ED8
  +
|392
  +
|Unlock Nanofield
  +
|
  +
|
  +
|-
  +
|401
  +
|4.97e80
  +
|392,d12
  +
|The production of preon anti-energy is slower based on your preons.
  +
|This section of mastery studies will unlock when you unlock Nanofield.
  +
--
  +
  +
(1+(preons)/1e28)<sup>0.2</sup>
  +
|1e10x
  +
|-
  +
|402
  +
|8.28e80
  +
|392,d12
  +
|Emperor Dimensions and hatch speed are faster by 25x.
  +
|Actually 30x
  +
|1e10x
  +
|-
  +
|411
  +
|1.32e71
  +
|401
  +
|The production of preon energy is faster based on your replicants.
  +
|(1+(replicants)/1e24)<sup>0.2</sup>
  +
|1x
  +
|-
  +
|412
  +
|1.66e71
  +
|402
  +
|Preon effect is 25% stronger.
  +
|
  +
|1x
  +
|-
  +
|421
  +
|1.99e72
  +
|411
  +
|Tickspeed boosts preon energy production.
  +
|i = max(-log10(Tickspeed)/1e13-0.75,1)<sup>4</sup>But if i is bigger than 100, then i<sub>2</sub> = sqrt(100i)
  +
  +
The result is i or i<sub>2</sub>
  +
|1x
  +
|-
  +
|d13 (dilstudy13)
  +
|1e95, 16 nanofield rewards
  +
|402/411
  +
|Unlock Tree of Decay
  +
|
  +
|
  +
|-
  +
|431
  +
|1.10e75
  +
|402/411,d13
  +
|Branches are faster based on your free galaxies.
  +
|(x/10000)<sup>x/10000+log10(x)/2</sup>x
  +
x can be increased by getting a Light Empowerment. (See [[Ghostly Photons]])
  +
|1x
  +
|-
  +
|d14 (dilstudy14)
  +
|1e98, [[Achievements|The Challenging Day]]
  +
|431
  +
|Unlock Big Rip
 
|
 
|
 
|
 
|
 
|}
 
|}
  +
  +
== Trivia ==
  +
* "The Theory of Ultimate Studies" achievement can be unlocked by buying 48 total mastery studies. The cheapest way to do this is to buy everything except for study 431 because itself is already a few OoMs higher than 421/412. This makes you start [[Ghostify|Ghostifies]] with all Time Studies and all Mastery Studies unlocked,If you bought all of Mastery Studies will cost 4.54e115 Time Theorem
 
[[Category:Mechanics]]
 
[[Category:Mechanics]]
  +
[[Category:Pre-Quantum]]

Revision as of 01:12, 3 June 2020

NG+3
GuideNG+3R GuideChangelogModsTerminology
Post-Eternity AchievementsEternity MilestonesEternity ChallengesTime DilationMeta DimensionsMastery Studies
Quantum QuantumElectronsQuantum ChallengesReplicantsEmperor DimensionsNanofieldTree of DecayBig RipBreak Eternity
Ghostify GhostifyNeutrinosAutomator GhostsGhostly PhotonsBosonic Lab
Upcoming Higgs FieldBadgesRediscoveryExtra Challenges
Mastery Studies-1

The Mastery Studies tree (as of Emperor Dimensions update) (Note:the bottom 2 row have a bug where 2 row studies is same and this picture is very out of date)

Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied(all dilation studies doesn't affect and isn't affected by Mastery studies cost multiplier) and you can't buy a mastery study if you have bought a mastery study in a row below that one(for example, if you have bought 272 without buying 261, you can no longer buy 261 anymore, but still can buy 271, 273)

To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.

List of Mastery Studies

Study Number Base Cost (in Time Theorems) Need studies Description Details Multiplier on Prices
241 1e71 - The IP mult multiplier IP gain by 2.2x per upgrade These will be useless if you have 4 GB gluon upgrade 1x
251 2e71 241 Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts. These will be useless if you have neutrino upgrade 6 or in quantum challenge 6 2.5x
252 2e71 241 Remote cost scaling starts 1 galaxy later per 7 free galaxies. These will be useless if you have neutrino upgrade 6 2.5x
253 2e71 241 Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies. These will be useless if you have neutrino upgrade 6 2.5x
261 5e71 251 Dimensional boost costs scale by another 1 less. These will be useless if you are in quantum challenge 6(can't gain) 6x
262 5e71 251 Dimensional boosts affect Meta Dimensions at a reduced rate. max(((Dimensional boosts)/15000-19),1), effect starts at 285,000 6x
263 5e71 252 Meta-dimension boosts affect dilated time production. (Meta-dimension boosts)+1 6x
264 5e71 252 You gain more tachyon particles based on your galaxies. 2*(((Galaxies)+1)0.25 6x
265 5e71 253 You can buy replicate chance upgrade over 100%. Post 100% chance makes a replicanti can replicate more replicanti(1000% chance means every replicanti will become 11 per tick) 6x
266 5e71 253 Post-400 max replicated galaxy cost scaling reduced. change from exponent CM^2 ^1.2 to +3000

-

These will be useless if you are in quantum challenge 5(cost over e6 Dc IP)

6x
e13 1e72 [[]] Eternity Challenge 13
e14 1e72 [[]] Eternity Challenge 14
d7

(dilstudy7)

2e82 252 Unlock Electrons Studies from this on can only be seen if you quantumed at least once.
271 2.74e76 252,d7 You can buy beyond 1ms interval upgrades but the cost starts to increase faster. ^10/9 in after 1ms bought 2x
272 2.74e76 252,d7 Pick all paths on all 3-way splits in time studies. 2x
273 2.74e76 252,d7 Replicate chance boosts itself. ^log10(BaseChange)5

5 can be increase with neutrino boost

2x
281 6.86e76 271/272 Replicanti multiplier boosts DT production at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/10) 4x
282 6.86e76 272/273 Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/15) 4x
d8 (dilstudy8) 2e84, 16,750 electrons 272 Unlock Quantum Challenges
d9 (dilstudy9) 4e85, QC8 completed d8 Unlock Paired Challenges
291 2.14e77 272,d9 You gain 1% of your EP gained on eternity each second. This section of mastery studies will unlock when you unlock paired challenges. 1x
292 2.14e77 272,d9 You can gain tachyon particles without disabling dilation. 1x
301 4.29e77 291 Remote cost scaling starts 1 galaxy later per 4.15 extra replicated galaxies. These will be useless if you have neutrino upgrade 6 2x
302 2.68e78 272,d9 Pick all time studies before mastery studies. Allows you to buy all the time studies up to 241 (the game will automatically buy them for you). 131,072x
303 4.29e77 292 Meta Dimensions are stronger based on your galaxies. 4.7(log10(max((Galaxies),1))^1.5) 2x
311 4.29e77 291 Replicanti multiplier to Infinity Dimensions is 17.3x stronger. 64x
312 4.29e77 292 Meta-dimension boosts are 4.5% stronger and costs scale by 1 less. 64x
321 4.29e77 291 If the multiplier per ten dimensions is 1x,then change it to 1e430x. Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong. 2x
323 4.29e77 292 Cancel dilation penalty for Normal Dimensions boost from replicanti. 2x
d10 (dilstudy10) 4e87, PC4 completed 302 Unlock Replicants
322 4.29e77 302,d10 Tickspeed boosts DT production at a greatly reduced rate. Studies from this row on can only be seen if you have unlocked Replicants.

---

i = sqrt(log10(-(Tickspeed)/10000))/20000

But if i is bigger than 110, then i2 = sqrt(27.5i)+55

The result is 10^(i or i2)

2x
331 3.41e81 322 Dimension Supersonic scaling start 340,000 (actually 240,000) later and increases cost slower by 3 less. These will be useless if you are in quantum challenge 5 on starts later(always start instantly and always incease at this speed) or quantum challenge 6(can't gain) 2x
332 9.04e76 322 You gain replicanti faster based on your normal galaxies. (max(Normal Galaxies,1) 2x
341 5.02e78 342 Preons boost DT production at reduced rate. (also boost TP gain) 2log10(sqrt((Preons)+1)) 1x
342 7.54e78 331 All replicated galaxies are stronger and use the same formula. 1x
343 7.54e78 332 Free galaxies are as strong as a normal replicated galaxy. 1x
344 5.02e78 343 Replicated galaxies are more effective based on your preons. 1+0.17(log10(1+((Preons)/1e7))0.25) 1x
351 1.21e80 344 Time Shards boosts all Meta Dimensions. (Time shards)1.4e-8 4x
d11 (dilstudy11) 3e90, 10 worker replicants 344 Unlock Emperor Dimensions
361 1.59e79 351,d11 Hatch speed is faster based on your tachyon particles. Studies from this row on can only be seen if you have unlocked Emperor Dimensions.

---

(Tachyon particles)0.01824033924212366

These will be useless if you have neutrino upgrade 2

1x
362 1.59e79 351,d11 Reduce the softcap for preon boost. 1x
371 2.12e79 361 Hatch speed is faster based on your extra replicated galaxies. (1+(Extra replicated galaxies))0.3

These will be useless if you have neutrino upgrade 2

2x
372 6.62e79 371 Hatch speed is faster based on your time shards. 1+(sqrt(log10(1+(Time shards)))/20)

These will be useless if you have neutrino upgrade 2

2x
373 2.12e79 362 You get more preons based on your galaxies. (1+(Galaxies))0.55 2x
381 6.62e79 371 Hatch speed is faster based on your tickspeed reduction multiplier. 1+(log10(Tickspeed reduction)/(-135))

These will be useless if you have neutrino upgrade 2

1x
383 6.62e79 373 Blue power boosts Meta Dimensions. 3200log10(1+(Blue power))^0.25 2x
382 6.62e79 383 Eighth Dimensions boost Meta Dimensions. (Eighth Dimensions)3.14159265... or pi 1x
391 8.28e79 381 Hatch speed is faster based on your meta-antimatter. (Meta-antimatter)8e-4

These will be useless if you have neutrino upgrade 2

1x
393 8.28e79 383 Workers boost Meta Dimensions. 400000sqrt(log10(1+(Workers))) 1x
392 8.28e79 391/393 Preons boost all Emperor Dimensions. 1.6sqrt(log10(1+(Preons))) 1x
d12 (dilstudy12) 3e92, 10 ED8 392 Unlock Nanofield
401 4.97e80 392,d12 The production of preon anti-energy is slower based on your preons. This section of mastery studies will unlock when you unlock Nanofield.

--

(1+(preons)/1e28)0.2

1e10x
402 8.28e80 392,d12 Emperor Dimensions and hatch speed are faster by 25x. Actually 30x 1e10x
411 1.32e71 401 The production of preon energy is faster based on your replicants. (1+(replicants)/1e24)0.2 1x
412 1.66e71 402 Preon effect is 25% stronger. 1x
421 1.99e72 411 Tickspeed boosts preon energy production. i = max(-log10(Tickspeed)/1e13-0.75,1)4But if i is bigger than 100, then i2 = sqrt(100i)

The result is i or i2

1x
d13 (dilstudy13) 1e95, 16 nanofield rewards 402/411 Unlock Tree of Decay
431 1.10e75 402/411,d13 Branches are faster based on your free galaxies. (x/10000)x/10000+log10(x)/2x

x can be increased by getting a Light Empowerment. (See Ghostly Photons)

1x
d14 (dilstudy14) 1e98, The Challenging Day 431 Unlock Big Rip

Trivia

  • "The Theory of Ultimate Studies" achievement can be unlocked by buying 48 total mastery studies. The cheapest way to do this is to buy everything except for study 431 because itself is already a few OoMs higher than 421/412. This makes you start Ghostifies with all Time Studies and all Mastery Studies unlocked,If you bought all of Mastery Studies will cost 4.54e115 Time Theorem