查看“︁时间研究”︁的源代码

{{反物质维度导航}}
<font color=#FF0000>本页面尚需翻译，原文来源：https://antimatter-dimensions.fandom.com/wiki/Time_Studies</font>

Time Studies are special powerful upgrades bought with Time Theorems, which are bought with increasing amounts of antimatter, Infinity Points, and Eternity Points.
{| class="wikitable"
!Resource!!Base Cost!!Exponential Cost Scaling
|-
|Antimatter||1e20000||1e20000
|-
|Infinity Points||1||1e100
|-
|Eternity Points||1||2
|}As [[Eternity Challenges]] are connected to the tree, some information about them can be found here too.

A study that requires a certain challenge may be purchased once the challenge has been first cleared, without needing to purchase the challenge.

A study with a pre-requisite preceded by a dash (ex. 71) means that you cannot purchase the study if the dashed pre-requisite is owned.

Upon reaching '''1e15''' dilated time, it is possible to passively generate Time Theorems.
{| class="wikitable"
!ID
!Pre-resiquites
!Description
!Details
!Extra
!Cost (TT)
!Min Total Cost
|-
|s
|
|Unlocks a secret achievement
|This study, and the path to it, is invisible until purchased.
It becomes invisible again when reloading the page.

While there's a path leading to it from 11, it does not actually require it.
|
|0
|0
|-
|11
|
|[[Ticks]]peed affects 1st Time Dimension with reduced effect
|min(1/(A<sup>0.005</sup>*0.95+A<sup>0.0003</sup>*0.05),1e2500)
where A = tickspeed/1000
|This hits the cap at 4.64e-8,333,334 tickspeed.
|1
|1
|-
|21
|11
|[[Replicanti]] multiplier formula is better (log<sub>2</sub>(x)^2 -> x^0.032)
|log<sub>2</sub>(x)<sup>2</sup>+x<sup>0.032</sup>
|The increase kicks in at about 1e180 and ends with about a 6,975x higher multiplier at 1.8e308.
|3
|4
|-
|33
|21
|You keep half of your replicanti galaxies on infinity
|Rounds down, but appears to round up if you crunch while on infinite replicanti causing it to autobuy a galaxy straight away.
|
|2
|6
|-
|31
|21
|Powers up bonuses that are based on your [[Infinity|infinited]] stat
|Affects the 5 infinity upgrades and Eternity Challenge 10's boost/reward.
|Infinited^4
|3
|7
|-
|41
|31
|Each galaxy gives a 1.2x multiplier on IP gained.
|
|1.2^galaxies
|4
|11
|-
|22
|11
|Replicanti interval limit 50ms -> 1ms
|
|
|2
|3
|-
|32
|22
|You gain more infinitied stat (based on dimension boosts)
|max(s,1)
where s = soft resets
|
|2
|5
|-
|42
|32
|Galaxy requirement goes up 52 8ths instead of 60.
|After galaxies become distant, difference is simply 8 less than normal.
After galaxies become remote,

difference is 8*1.002^(g-800) less than normal.
|
|6
|11
|-
|e5
|42
|
|
|
|130
|141
|-
|51
|41 or 42
|You gain 1e15x more IP

|
|
|3
|14
|-
|61
|51
|You gain 10x more EP

|
|
|3
|17
|-
|62
|42, EC5
|You gain replicanti 3 times faster
|
|
|3
|17
|-
|style="background:#22aa48" |71<br>(normal dims)
|style="background:#22aa48" |61 (-72 -73)/(201 -72/-73)
|style="background:#22aa48" |[[Dimensional Sacrifice|<span style="color:black">Sacrifice</span>]] affects all other normal dimensions with reduced effect
|style="background:#22aa48" |min(x<sup>0.25</sup>,1e210,000) (non-8ths only)
|style="background:#22aa48" |This hits the cap at 1e840,000 sacrifice bonus.
(shows 1e210,000x)
|style="background:#22aa48" |4
|style="background:#22aa48" |21
|-
|style="background:#22aa48" |81<br>(normal dims)
|style="background:#22aa48" |71
|style="background:#22aa48" |Dimensional boost power becomes x10
|style="background:#22aa48" |
|style="background:#22aa48" |This is better than study 82 when you have less than 1498 soft resets, before EC2 (after EC2, study 82 is generally more powerful).
|style="background:#22aa48" |4
|style="background:#22aa48" |25
|-
|style="background:#22aa48" |91<br>(normal dims)
|style="background:#22aa48" |81
|style="background:#22aa48" |Normal [[Dimensions|<span style="color:black">dimensions</span>]] gain a multiplier based on time spent this eternity
|style="background:#22aa48" |10<sup>min(eternity time(s),1800)/6</sup>
|style="background:#22aa48" |
|style="background:#22aa48" |4
|style="background:#22aa48" |29
|-
|style="background:#22aa48" |101<br>(normal dims)
|style="background:#22aa48" |91
|style="background:#22aa48" |Replicantis give multiplier to normal dims equal to their amount.
|style="background:#22aa48" |replicanti
|style="background:#22aa48" |
|style="background:#22aa48" |4
|style="background:#22aa48" |33
|-
|style="background:#b67f33" |72<br>(infinity dims)
|style="background:#b67f33" |61 (-71 -73)/(201 -71/-73)
|style="background:#b67f33" |Sacrifice affects 4th [[Infinity Dimensions|<span style="color:black">Infinity Dimension</span>]] with greatly reduced effect
|style="background:#b67f33" |min(x<sup>0.04</sup>,1e30000)
|style="background:#b67f33" |This hits the cap at 1e750,000 sacrifice bonus.
(shows 1e30000x)
|style="background:#b67f33" |6
|style="background:#b67f33" |6
|-
|style="background:#b67f33" |82<br>(infinity dims)
|style="background:#b67f33" |72
|style="background:#b67f33" |Dimensional boosts affect Infinity Dimensions
|style="background:#b67f33" |min(1.0000109<sup>soft resets^2</sup>,1e80000)
|style="background:#b67f33" |This hits the cap at 130,000 soft resets (not reachable in normal gameplay, but in NG+++; this may change in the Reality update).
|style="background:#b67f33" |6
|style="background:#b67f33" |29
|-
|style="background:#b67f33" |92<br>(infinity dims)
|style="background:#b67f33" |82
|style="background:#b67f33" |Infinity dimensions gain a multiplier based on fastest eternity time
|style="background:#b67f33" |2<sup>60/max(eternity time(s),2)</sup>
|style="background:#b67f33" |
|style="background:#b67f33" |5
|style="background:#b67f33" |34
|-
|style="background:#b67f33" |102<br>(infinity dims)
|style="background:#b67f33" |92
|style="background:#b67f33" |Replicanti galaxies power replicanti multiplier
|style="background:#b67f33" |5<sup>n</sup>
|style="background:#b67f33" |
|style="background:#b67f33" |6
|style="background:#b67f33" |40
|-
|style="background:#b241e3" |73<br>(time dims)
|style="background:#b241e3" |61 (-71 -72)/(201 -71/-72)
|style="background:#b241e3" |Sacrifice affects 3rd [[Time Dimensions|<span style="color:black">Time Dimension</span>]] with greatly reduced effect
|style="background:#b241e3" |min(n<sup>0.005</sup>,1e1300)
|style="background:#b241e3" |This hits the cap at 1e260,000 sacrifice bonus.
(shows 1e1300x)
|style="background:#b241e3" |5
|style="background:#b241e3" |22
|-
|style="background:#b241e3" |83<br>(time dims)
|style="background:#b241e3" |73
|style="background:#b241e3" |Dimensional boosts are 0.04% more effective for each tick upgrade gained from Time Dimensions
|style="background:#b241e3" |compounding on itself
|style="background:#b241e3" |This is better than study 81 if you have 7.378381e283 time shards (1.311444e222 with study 171).
|style="background:#b241e3" |5
|style="background:#b241e3" |27
|-
|style="background:#b241e3" |93<br>(time dims)
|style="background:#b241e3" |83
|style="background:#b241e3" |Time dimensions gain a multiplier based on tick upgrades gained from them
|style="background:#b241e3" |n<sup>0.25</sup>
|style="background:#b241e3" |
|style="background:#b241e3" |7
|style="background:#b241e3" |34
|-
|style="background:#b241e3" |103<br>(time dims)
|style="background:#b241e3" |93
|style="background:#b241e3" |Time dimensions gain a multiplier equal to replicanti galaxy amount
|style="background:#b241e3" |
|style="background:#b241e3" |
|style="background:#b241e3" |6
|style="background:#b241e3" |40
|-
|111
|101/102/103
|Make the IP formula better
|See [[Breaking Infinity]] for the IP formula.
|This increases the OoM of IP gained by about 8.07%.
|12
|45
|-
|e7
|111
|
|
|
|115
|160
|-
|style="background:#ff0100" |121<br>(active)
|style="background:#ff0100" |111 -122 -123
|style="background:#ff0100" |The worse your average EP/min is, the more EP you get
|style="background:#ff0100" |(253-min(max(V/10,3),248))/5
V = average EP/min in last 10 eternities / the x5 EP mult upgrade's mult
|style="background:#ff0100" |This is better than 35x if V < 780. The multiplier caps at 50x (if V <= 30). The multiplier reaches x1 (the minimum) when V >= 2480.
|style="background:#ff0100" |9
|style="background:#ff0100" |54
|-
|e6
|
|
|
|
|85
|139
|-
|style="background:#ff0100" |131<br>(active)
|style="background:#ff0100" |121
|style="background:#ff0100" |Automatic replicanti galaxies are disabled, but you can get 50% more
|style="background:#ff0100" |
|style="background:#ff0100" |This is the best boost in this row.
|style="background:#ff0100" |5
|style="background:#ff0100" |59
|-
|style="background:#ff0100" |141<br>(active)
|style="background:#ff0100" |131
|style="background:#ff0100" |Multiplier to IP, decaying over this infinity
|style="background:#ff0100" |max(1,1e45/15<sup>ln(A)*A^0.125</sup>)
where A = infinity time in seconds * 10
|style="background:#ff0100" |This is the best multiplier in this row for infinities less than 115 seconds. This effect caps at 3326 seconds (55:26).
|style="background:#ff0100" |4
|style="background:#ff0100" |63
|-
|style="background:#5e33b6" |122<br>(passive)
|style="background:#5e33b6" |111 -121 -123
|style="background:#5e33b6" |You gain 35x more EP
|style="background:#5e33b6" |
|style="background:#5e33b6" |
|style="background:#5e33b6" |9
|style="background:#5e33b6" |54
|-
|style="background:#5e33b6" |132<br>(passive)
|style="background:#5e33b6" |122
|style="background:#5e33b6" |Replicanti galaxies are 40% more effective
|style="background:#5e33b6" |
|style="background:#5e33b6" |
|style="background:#5e33b6" |5
|style="background:#5e33b6" |59
|-
|style="background:#5e33b6" |142<br>(passive)
|style="background:#5e33b6" |132
|style="background:#5e33b6" |You gain 1e25x more IP
|style="background:#5e33b6" |
|style="background:#5e33b6" |This is the best multiplier in this row for infinities between 115 and 272 seconds.
|style="background:#5e33b6" |4
|style="background:#5e33b6" |63
|-
|style="background:#0080ff" |123<br>(idle)
|style="background:#0080ff" |111 -121 -122
|style="background:#0080ff" |You gain more EP based on time spent this eternity
|style="background:#0080ff" |(time (s)*1.39)<sup>0.5 </sup>

(This has a negative effect if time spent in eternity is 719 ms or less (exactly 1000/1.39 ms).)
|style="background:#0080ff" |This is better than 35x if you spend longer than 881 seconds (14:41) per eternity. It's the best in this row if your eternity is longer than 2176 seconds (36:16).
|style="background:#0080ff" |9
|style="background:#0080ff" |54
|-
|e8
|123
|
|
|
|115
|169
|-
|style="background:#0080ff" |133<br>(idle)
|style="background:#0080ff" |123
|style="background:#0080ff" |Replicanti are 10x slower until infinity, but their galaxies are 50% stronger
|style="background:#0080ff" |See [[Replicanti|<span style="color:black">Replicanti</span>]] for slowdown exceptions. Galaxy boost only affects Replicanti Galaxies.
|style="background:#0080ff" |
|style="background:#0080ff" |5
|style="background:#0080ff" |59
|-
|style="background:#0080ff" |143<br>(idle)
|style="background:#0080ff" |133
|style="background:#0080ff" |Multiplier to IP, increasing over this infinity
|style="background:#0080ff" |15<sup>ln(A)*A^0.125</sup>where A = infinity time in seconds * 10

(This has a negative effect if time spent in infinity is 100 ms or less)
|style="background:#0080ff" |This is the best multiplier in this row for infinities longer than 272 seconds.
|style="background:#0080ff" |4
|style="background:#0080ff" |63
|-
|e4
|143
|
|
|
|70
|133
|-
|151
|141/142/143
|1e4x multiplier on all Time dimensions
|
|This is another 129.2 tickspeed upgrades. (165.1 with study 171)
|8
|71
|-
|e9
|151
|
|
|
|415
|486
|-
|161
|151
|1e616x multiplier on all normal dimensions
|
|
|7
| 78
|-
|162
|151
|1e11x multiplier on all Infinity dimensions
|
|Both boosts in this row are equal, until EC2 makes this one better.
|7
|78
|-
| 171
|161/162
|Time shard requirement for the next tickspeed upgrade goes up slower
|33% -> 25% ([[Time Dimensions]])
|This will get you about 27.8% more tickspeed upgrades from time shards.
| 15
|93
|-
|e1
|171
|
|
|
|30
|123
|-
|e2
|171
|
|
|
|35
|128
|-
|e3
|171
|
|
|
|40
|133
|-
|181
|171 EC1 EC2 EC3
|You gain 1% of your IP gained on crunch each second.
|IP to be gained on crunch. Note that you still generate IP below Infinity antimatter (how much you would be able to gain on crunch if you could crunch).
|
|200
|293
|-
|e10
|181
|
|
|
|550
|843
|-
|192
|181 EC10
|You can get beyond 1.80e308 replicantis, but the interval is increased the more you have
| See [[Replicanti]]
|
|730
|1,023
|-
|201
|192
|Pick another path from the first split
|Allows you to have 2 paths from the first 3 way split.

If you have bought the Time Dilation upgrade "Pick all the study paths from the first split", this can no longer be bought.
|
|900
|1,923
|-
|191
|181 EC10
|After eternity you permanently keep 5% of your infinities
|You need this study to bank infinities, but you can use banked infinities without it. "Banked infinities" in any context refers to this study's effect.
|
| 500
|793
|-
|211
|191
|Dimensional boost requirement scaling is reduced by 5
|
|
|120
|913
|-
|style="background:white" |<span style="color:black">221<br>(light)
|style="background:white" |<span style="color:black">211 -222
|style="background:white" |<span style="color:black">Dimensional boosts affect time dimensions with reduced power.
|style="background:white" |<span style="color:black">1.0025<sup>(soft resets)</sup>
|style="background:white" |
|style="background:white" |<span style="color:black">900
|style="background:white" |<span style="color:black">1,813
|-
|style="background:black" |222<br>(dark)
|style="background:black" |211 -221
|style="background:black" |Dimensional boost costs scale by another 2 less.
|style="background:black" |
|style="background:black" |
|style="background:black" |900
|style="background:black" |1,813
|-
|style="background:white" |<span style="color:black">231<br>(light)
|style="background:white" |<span style="color:black">221/222 -232
|style="background:white" |<span style="color:black">Dimensional boosts are more effective based on their amount.
|style="background:white" |<span style="color:black">(soft resets)<sup>0.3</sup>
|style="background:white" |
|style="background:white" |<span style="color:black">500
|style="background:white" |<span style="color:black">2,313
|-
|212
|191
|Galaxies are more effective based on your timeshards
|min(log<sub>2</sub>(time shards)<sup>0.005</sup>, 1.1)
|This hits the cap at 2.575e57,167,184 time shards (not reachable in normal gameplay, but in NG+++; this may change in the Reality update).
|150
|943
|-
|style="background:black" |223<br>(dark)
|style="background:black" |212 -224
|style="background:black" |Galaxy cost scaling starts 7 galaxies later.
|style="background:black" |
|style="background:black" |This is better than 224 if you have less than 14,000 dimboosts.
|style="background:black" |900
|style="background:black" |1,843
|-
|style="background:white" |<span style="color:black">224<br>(light)
|style="background:white" |<span style="color:black">212 -223
|style="background:white" |<span style="color:black">Galaxy cost scaling starts 1 galaxy later for every 2000 dimensional boosts.
|style="background:white" |<span style="color:black">rounded down
|style="background:white" |<span style="color:black">This is better than 223 if you have more than 13,999 dimboosts.
|style="background:white" |<span style="color:black">900
|style="background:white" |<span style="color:black">1,843
|-
|style="background:black" |232<br>(dark)
|style="background:black" |223/224 -231
|style="background:black" |Galaxies are more effective based on non-replicated galaxies.
|style="background:black" |(1+galaxies/1000)<sup>0.2</sup>
|style="background:black" |
|style="background:black" |500
|style="background:black" |2,343
|-
|e11
|231/232 71 -201
|
|
|
|1
|2,344
|-
|193
|181 EC10
|Normal dimension boost based on eternities
|min(1.03<sup>eternities</sup>,1e13000)
|This caps at 1,012,680 eternities.
|300
|593
|-
|213
|193
|You gain replicanti 20 times faster
|
|
|200
|793
|-
|style="background:white" |<span style="color:black">225<br>(light)
|style="background:white" |<span style="color:black">213 -226
|style="background:white" |<span style="color:black">You gain extra RGs based on how high above infinity your replicanti are.
|style="background:white" |<span style="color:black">floor(log(replicanti)/1000)
|style="background:white" |
|style="background:white" |<span style="color:black">900
|style="background:white" |<span style="color:black">1,693
|-
|style="background:black" |226<br>(dark)
|style="background:black" |213 -225
|style="background:black" |You gain extra RGs based on your max RGs.
|style="background:black" |floor((max RGs)/15)
Study 131 does not affect this study.
|style="background:black" |
|style="background:black" |900
|style="background:black" |1,693
|-
|style="background:black" |233<br>(dark)
|style="background:black" |225/226 -234
|style="background:black" |Max replicanti galaxy cost is reduced based on replicanti amount.
|style="background:black" |/(replicanti)<sup>0.3</sup>
|style="background:black" |This effect is about 3e92 at infinity replicanti..
|style="background:black" |500
|style="background:black" |2,193
|-
|214
|193
|Sacrifice boosts the 8th dimension even more
|min(S<sup>8</sup>,1e46000)*min(S<sup>1.1</sup>,e125000)
where S = your sacrifice multiplier
|This hits the first cap at 1e5750 sacrifice bonus. This hits the second cap at 2.3e113,636 sacrifice bonus.
(displays 1e125,000x as the cap)
|120
|713
|-
|style="background:black" |227<br>(dark)
|style="background:black" |214 -228
|style="background:black" |Sacrifice affects the 4th Time Dimension with reduced effect.
|style="background:black" |log(sacrifice bonus)<sup>10</sup>
|style="background:black" |
|style="background:black" |900
|style="background:black" |1,613
|-
|style="background:white" |<span style="color:black">228<br>(light)
|style="background:white" |<span style="color:black">214 -227
|style="background:white" |<span style="color:black">Sacrifice scales better.
|style="background:white" |<span style="color:black">See [[Dimensional Sacrifice]]
|style="background:white" |
|style="background:white" |<span style="color:black">900
|style="background:white" |<span style="color:black">1,613
|-
|style="background:white" |<span style="color:black">234<br>(light)
|style="background:white" |<span style="color:black">227/228 -233
|style="background:white" |<span style="color:black">Sacrifice boosts First Dimension.
|style="background:white" |<span style="color:black">(sacrifice bonus)
|style="background:white" |
|style="background:white" |<span style="color:black">500
|style="background:white" |<span style="color:black">2,113
|-
|e12
|233/234 73 -201
|
|
|
|1
|2,121
|-
|d1
|EC11x5 EC12x5
13,000 total TT
|Unlock time dilation
|When you buy this time study or any of time studies below, it will be permanently bought.
|
|5,000
|13,000
|-
|d2
|d1
|Unlock the 5th Time Dimension
|
|
|1,000,000
|1,013,000
|-
|d3
|d2
|Unlock the 6th Time Dimension
|
|
|10,000,000
|11,013,000
|-
|d4
|d3
|Unlock the 7th Time Dimension
|
|
|100,000,000
|111,013,000
|-
|d5
|d4
|Unlock the 8th Time Dimension
|
|
|1,000,000,000
|1,111,013,000
|-
|d6
|N/A
|To be continued...
|Temporary placeholder for a future update (reality)
|
|N/A
|N/A
|}

==Time Study Tree==
[[File:Entire tree.png|thumb|567x567px|Time study tree in the February 2018 update, Eternity Challenges]]
Time studies are arranged in a top-to-bottom branching way, such that purchasing any given study gives you the choice of purchasing the next study (or studies) just below it. Each box in the tree is either a time study which will provide a boost, or an Eternity Challenge which must be purchased in order to enter it, and all the boxes cost Time Theorems to unlock.

The tree can be freely respecced at the beginning of each eternity, which can be done by pressing the button at the top of the page. Activating the respec removes all of your purchased time studies and refunds all the Time Theorems spent with no extra cost.

For each of the two-way splits, you can purchase both options if you have enough Time Theorems to afford them. This is also true for all of the studies in the bottom four rows of the tree.

For the first two three-way splits, purchasing the first study of each branch will lock up the other two choices, making them un-purchasable until a respec. The third three-way split requires you to complete all three of those challenges before being able to go farther.

==Eternity Challenges ==
''Main article: [[Eternity Challenges]]''

Eternity challenges have two requirements, one being the Time Theorem cost and the other being something else that depends on the challenge (eg. a minimum number of infinities, a certain number of galaxies, etc.). The additional requirement must be met before the challenge can be purchased, which then of course still requires Time Theorems. This means that to unlock EC5 (for example) you need to reach the specified number of galaxies ''with an extra 130 Theorems'' in order to purchase it.

Once purchased, the secondary requirement is removed (except for EC11 and EC12) until you either complete the challenge or purchase a different one. The practical upshot of this is that you can now respec the tree without needing to re-do the secondary requirement again, meaning that you can try taking different sets of studies into a challenge if you can't do it the first time around. Note that purchasing the eternity challenge box itself is still required to enter.

After a challenge is completed, it is considered purchased for the sake of allowing later studies to be purchased. This means, for example, that you can get the triple replicanti speed study after completing EC5 (for the first time) without spending 130 Theorems on the EC box. However, you still need to spend the Theorem cost to enter a challenge again even after completing it previously.

You also retain the rewards from each EC without needing to purchase the EC studies again.

==Dilation Studies==
''Main article: [[Time Dilation]]''

Unlike other time studies, there are time studies that remains bought when you respec the time study tree. The first dilation study requires EC11x5 and EC12x5 to be completed instead. These time studies unlock new content including more Time Dimensions.