Neutrinos

[This is currently WIP]

Neutrinos are a feature unlocked after becoming a ghost. There are 3 types of neutrinos: Electron Neutrinos, Muon Neutrinos and Tau Neutrinos. At first, you gain 1 Electron Neutrino for every normal galaxy that you gain. The number of neutrinos that you gain can be increased by purchasing upgrades. The type of neutrino that you gain changes every Quantum, going from Electron to Muon to Tau and then back to Electron. Each neutrino affects all boosts with equal logarithmic scaling, making spreading out your neutrino gains between all 3 more beneficial than focusing on only 1. Next, there are Neutrino upgrades, which can be purchased with any type of neutrinos. You start with four unlocked, and then unlock a new one each time you Ghostify, up to a total of 12. There are also an additional 3 upgrades unlocked at some point in time.

Neutrino boosts

Note: in the following formulas, we have:

$B_{1}=log_{10}ElectronNeurtino+log_{10}MuonNeurtino+log_{10}TauNeurtino$

$B_{2}=(log_{10}ElectronNeurtino)^{2}+(log_{10}MuonNeurtino)^{2}+(log_{10}TauNeurtino)^{2}$

$Bl_{5}=(log_{5}(log_{10}ElectronNeurtino-5))^{2}+(log_{5}(log_{10}MuonNeurtino-5))^{2}+(log_{5}(log_{10}TauNeurtino-5))^{2}$

Cost	Boost	Formula
0	Increases TP gain formula exponent	+$0.75*log_{10}(B_{1}+1)$
3	Further boosts replicate chance	Add $1.5*B_{2}^{0.25}$ to the boost exp(normally 5)
4	Increases hardcap of 14th dilation upgrade(Meta dimension shifts, boosts, and per-ten upgrades are boosted by dilated time)	$({\frac {Bl_{5}}{3}})^{0}.25+3$
6	Strengthens "Infinite Time" reward	x$1+0.07*B_{2}^{0.25}$ Over 10:x$6+log_{2}(boost+6)$
15	Reduces 130% red power boost nerf strength	$B_{1}/33$ (See Quantum page for more details)
50	Slows down Distant Antimatter Galaxies effect(nerfed in Big Rip runs)	/$1+0.525*B_{2}^{0.25}$ In big rip:^0.5
1000	Makes Tree Upgrades stronger in Big Rips	Tree upg level x$1+2.35*{\sqrt {B_{1}}}$
1e14	Boosts first Big Rip upgrade strength in Big Rips	^$1+0.1*B_{2}^{0.25}$ Over 11:$7+log_{2}(boost+5)$
1e35	Boosts IC3 reward strength in Big Rips	Mult per galaxy x$0.1*B_{1}$ Over 4096:$(log_{2}(boost+4))^{3}$
1e900	Reduces free tickspeed upgrade threshold multiplier	-$(B_{1}-3000)/75e4$

Neutrino upgrades:

Require	Effect	Cost	Formula
1 Ghostify	Meta-Dimension Boosts cost less(constant in Big Rip runs)	1e6
1 Ghostify	Eggons hatch instantly and workers do not consume others	1e7	NA
1 Ghostify	Blue power boosts preon charge production	1e8
1 Ghostify	You gain quark spins faster and all branches are faster based on your tickspeed	2e8
2 Ghostifies	You gain 3x more electrons	5e8	NA
3 Ghostifies	Disables Remote Antimatter Galaxy scaling!	2e9	NA
4 Ghostifies	Green power boosts odd Emperor Dimensions and preon charge production	5e9
5 Ghostifies	Disable meta-antimatter boost nerf to quark gain.	7.5e9	NA
6 Ghostifies	Eternities and space shards boost each other	1e10
7 Ghostifies	Banked eternities are counted in Big Rips	7e12	NA
8 Ghostifies	8th Big Rip upgrade is never repealed or capped	1e18	NA
9 Ghostifies	In Big Rips, each galaxy type boost differently. Normal Galaxy:quark spin production Replicated Galaxy:EC14 reward Free Galaxy:IC3 reward (You can hover to see your current effects)	1e55
Ghostly Photon unlock	100 RG upgrade doesn't nerf 100 BR upgrade	1e125	NA
Ghostly Photon unlock	Gain more neutrinos based on your GHP and color powers	1e160
Ghostly Photon unlock	Nanofield is faster based on your rewards	1e280

Repeatable neutrino upgrades:

Upgrade	Base Cost	Cost Increase	Cost Increase^2
You gain 5x more neutrinos	2 GHP	x4	N/A
You gain 2x more GHP	1.25e10 Neutrinos	x25	x? from level ?