The Elder Scrolls has a ton of insane feats that get overlooked for reasons I still can't fathom.
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Each time you level up, you cause a star to increase in luminosity considerably. Not also the stars are at various points in space. The skill tree constellations are referenced in the Legends: Heroes of Skyrim trailer with a nebula-sized manifestation of Akatosh.
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On top of this, Todd Howard also says that levelling up involves looking to the heavens.
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It's also of note to point out the constellations as seen in Apocrypha are also 3D (link here because I'm out of room to post videos, 0:50 seconds in).
Even though the stars are rips to Aetherius, this calc is still valid. First off, to get the original brightness of the stars. They're considerably dimmer, but for now at least I'll go with the apparent magnitude of the closest star, Alpha Centuri (that being 1.519) and a distance of 4.367 light years (or 41315000000000000m).
M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
1.519 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
28.24900 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
28.24900/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-11.2996) = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 X (3.864*10e26) = 1.24879226e-11
1.93837196e16/1.24879226e-11 = 1.55219729e27 joules
Now for the increase in luminousity. Using an apparent magnitude of Sirius, the brightest star in the sky -1.46.
M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
-1.46 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
25.27 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
25.27/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-10.10800) = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 X (3.864*10e26) = 1.24879226e-11
3.01326355e17/1.24879226e-11 = 2.41294221e28 joules
Subtract the former from the latter and we have our energy.
2.41294221e28 - 1.55219729e27 = 2.25772248e28 joules = 5.3960862332695987789 exotons
Not sure if that scales or not, but altering constellations certainly does. The constellation with the least number of stars is Light Armour with 6 stars, while the constellation with the most stars is Conjuration with 15 stars. Although some of them do involve choosing a constellation twice (including Light Armor), we'll settle with the number of stars for now.
2.25772248e28 X 6 = 1.35463349e29 joules = 32.37651744741874063 exotons
2.25772248e28 X 15 = 3.38658372e29 joules = 80.941293499043982592 exotons
Final Results
Increasing a skill tree perk = >5.396 exotons
Reseting the smallest skill tree constellation = >32.377 exotons
Reseting the largest skill tree constellation = >80.941 exotons
Take note this this energy is per second too. Plus taking into account the bizzare nature of the Aurbis, this is an absolute low end and may actually be far higher.
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Finally, the last Black Book grants Dovahkiin the power to alter the skill constellations, and visions of the skill constellations appear in the game (not in the menus), and you can alter them in exchange for a dragon soul. Which would mean that end of game Dovahkiin at least scales.The Elder Scrolls V: Skyrim - Demo Part 1 said:
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M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
1.519 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
28.24900 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
28.24900/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-11.2996) = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 = (1.24879226e-11/((L/3.846*10^26))
5.01649057e-12 X (3.864*10e26) = 1.24879226e-11
1.93837196e16/1.24879226e-11 = 1.55219729e27 joules
Now for the increase in luminousity. Using an apparent magnitude of Sirius, the brightest star in the sky -1.46.
M = -26.73 - 2.5log ((L/3.846*10^26)(146000000000/d)^2)
(146000000000/(41315000000000000))^2) = 1.24879226e-11
-1.46 - -26.73 = 1.24879226e-11/((L/3.846*10^26)
25.27 = -2.5Log(1.24879226e-11/((L/3.846*10^26))
25.27/-2.5 = (1.24879226e-11/((L/3.846*10^26))
10^(-10.10800) = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 = (1.24879226e-11/((L/3.846*10^26))
7.79830111e-11 X (3.864*10e26) = 1.24879226e-11
3.01326355e17/1.24879226e-11 = 2.41294221e28 joules
Subtract the former from the latter and we have our energy.
2.41294221e28 - 1.55219729e27 = 2.25772248e28 joules = 5.3960862332695987789 exotons
Not sure if that scales or not, but altering constellations certainly does. The constellation with the least number of stars is Light Armour with 6 stars, while the constellation with the most stars is Conjuration with 15 stars. Although some of them do involve choosing a constellation twice (including Light Armor), we'll settle with the number of stars for now.
2.25772248e28 X 6 = 1.35463349e29 joules = 32.37651744741874063 exotons
2.25772248e28 X 15 = 3.38658372e29 joules = 80.941293499043982592 exotons
Final Results
Increasing a skill tree perk = >5.396 exotons
Reseting the smallest skill tree constellation = >32.377 exotons
Reseting the largest skill tree constellation = >80.941 exotons
Take note this this energy is per second too. Plus taking into account the bizzare nature of the Aurbis, this is an absolute low end and may actually be far higher.
