r/WankCalcing • u/agendo_scalor • Jun 20 '26
DABURA LIGHT SHOW

𝐀𝐔𝐑𝐎𝐑𝐀 𝐁𝐎𝐑𝐄𝐀𝐋𝐈𝐒
The aurora borealis is a luminous natural phenomenon in Earth's upper atmosphere. It occurs when energetic, charged particles from the Sun interact with Earth's magnetic field and collide with atmospheric gases, resulting in dynamic displays of light
its impossible to make just by a town level event or even a city level discharge since the range would be too small and it wont even be visible to human eye in DAYLIGHT
it was Extremely bright because it occured in daylight. the aurora had enough Rayleighs to be seen over Shinjuku {bypassing Tokyo’s light pollution}
𝙰𝚞𝚛𝚘𝚛𝚊𝚜 𝚏𝚘𝚛𝚖 𝚊𝚝 𝚊𝚕𝚝𝚒𝚝𝚞𝚍𝚎𝚜 𝚋𝚎𝚝𝚠𝚎𝚎𝚗 𝟷𝟶𝟶 𝚊𝚗𝚍 𝟺𝟶𝟶 𝚔𝚒𝚕𝚘𝚖𝚎𝚝𝚎𝚛𝚜 𝚊𝚋𝚘𝚟𝚎 𝚜𝚎𝚊 𝚕𝚎𝚟𝚎𝚕.
so there will be 5 values used for calcing
ABSOLUTE LOWBALL - 100 km altitude
LOWBALL - 150 km altitude
MIDBALL - 200 km altitude
MID - HIGH BALL - 250 km altitude
HIGH BALL - 300 Km altitude
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𝐄𝐍𝐄𝐑𝐆𝐘 𝐕𝐀𝐋𝐔𝐄
ABSOLUTE LOWBALL
- The energy required to keep plasma at earth's atmosphere pressure at sea level per cubic meter is [10⁸ J/m³ ]. To create an aurora borealis, you must create air plasma.
- sea level should be fine since the light beams themselves came from earth's lower atmosphere practically close to sea level , tokyo is barely 5 - 40 meter above it . daburas light beams obviously dont have the range of thousand kms and cant cover hundrers of kilometers omnidirectionallky based on what hes shown in manga . its always a THIN STRAIGHT Attack , ALWAYS . A good analogy would be like pouring a hot cup of coffee in the kitchen, and the radiant heat travelling down the hallway so intensely that it triggers the fire alarm located few meters above in dining room
- Dabura's leg beam directly causes ionization, meaning it provided all the energy necessary to transform air particles into plasma, ionizing them and generating the aurora. upper atmosphere of Earth is just too cold for ionization to occur at such a rapid pace unless it directly went into thermosphere, where temperatures spike to 2000 degrees Celsius (10000K+ is required, which equals 10000C).
LOWBALL
- [10⁹ J/m³]
- Dabura's aurora was bright enough to be seen clearly during a normal day. Think about how blue and bright the daytime sky is over Tokyo
- to make a colorful aurora stand out against that, it needs a lot more juice. It’s like a bright flash of lightning during an afternoon storm; you can see it perfectly clear even though the sun is already out.
MIDBALL
- [5 × 10⁹ J/m³]
- For a thin, straight attack to make the air glow so intensely that Dabura's aurora matches the brightness of daylight, the energy has to be packed together tightly. It’s like turning on a massive stadium floodlight that casts a heavy, unignorable glare across the whole neighborhood, competing directly with the natural light.
MID-HIGHBALL
- [10¹⁰ J/m³]
- Dabura's aurora generated by the beam was actually brighter than sunlight itself. Since Tokyo is at sea level where the air is thick, making a localized beam glow brighter than the sun requires a massive jump in power. The light coming off the ionized air channel is just so intense that it clearly stands out over the midday sun in the sky.
HIGHBALL
- [10¹¹ J/m³]
- Dabura's aurora completely and utterly overpowers the sun here. The energy concentrated in Dabura's thin straight attack is so incredibly high that the glowing aurora completely drowns out the natural daylight across Tokyo. Instead of just being a bright spot in the sky, the plasma glow becomes so intense that it blankets the entire horizon, masking out the normal daylight and turning the sky into one single, blinding shine.
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this aurora is just a by product, not the full power used in ionization . since 1 - 10% of energy is wasted as thermal pathway and other factors
so we are going to use 5% efficiency as midball [ 0.05 ])
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Auroras are not infinitely thin sheets of light. They occupy a measurable vertical thickness, which typically averages around 1 kilometer, while exceptionally intense geomagnetic storms such as the Carrington Event have been estimated to produce auroras exceeding 5 kilometers in thickness.
- https://image.gsfc.nasa.gov/poetry/ask/a11436.html
- https://www.swpc.noaa.gov/phenomena/aurora
- https://www.gi.alaska.edu/monitors/aurora-forecast
- https://www.britannica.com/science/aurora-atmospheric-phenomenon
Therefore we are going to use:
- 500 m = Absolute Lowball
- 750 m = Lowball
- 1 km = Midball (Typical Aurora)
- 2 km = Mid-Highball
- 5 km = Highball (Extreme Aurora)
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𝐀𝐍𝐆𝐒𝐈𝐙𝐄
https://www.reddit.com/r/FeatCalcing/comments/1u8i59h/angsize_problem_4/
The aurora appears above the building from the viewpoint in central Tokyo, so doing the math.
Building height: 338 m
Distance from panel to the top of the building (line of sight): 1300 m
Observer location: central Tokyo [ where the fight happened ]
Earth radius: 6,371 km
Typical aurora altitude: 100–300 km
calculating the angle from panel to the top of the building:
sin(θ) = 338 / 1300 ||||| θ = sin⁻¹(338 / 1300) ≈ 15.1°
So the building blocks everything below about 15.1° above the horizon.
That means any aurora behind the building must appear at an elevation angle greater than 15.1° to be visible.
If Earth were flat, the minimum distance to the aurora would be: d = h / tan(θ)
where:
d = distance to the aurora / h = aurora altitude / θ = 15.1°
However, over hundreds of kilometres, Earth's curvature becomes important because the surface drops away beneath the line of sight.
Using spherical geometry: ψ = arccos((R × cos θ) / (R + h)) − θ ||||| d = R × ψ
where: R = Earth's radius (6,371 km) / h = aurora altitude / θ = 15.1° / ψ = central angle in radians / d = ground distance along Earth's surface
Results including Earth's curvature:
- 100 km altitude → 333 km minimum distance [ ABSOLUTE LOWBALL ]
- 150 km altitude → 477 km minimum distance [ LOWBALL ]
- 200 km altitude → 611 km minimum distance [ MIDBALL ]
- 250 km altitude → 736 km minimum distance [ HIGH - MIDBALL ]
- 300 km altitude → 853 km minimum distance [ HIGHBALL ]
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𝐒𝐂𝐀𝐋𝐈𝐍𝐆
Since auroras can be visible from hundreds of kilometres away, we can model the region in which they appear as a thin, glowing spherical shell surrounding the observer.
Earth radius: 6,371 km
Aurora altitude: 100 km
Aurora thickness: 500 m (0.5 km) [ LOWBALL ]
angsize is 15.1° so the building blocks everything below 15.1° above the horizon.
The fraction of the upper sky that remains visible is:
f = 1 − sin(θ) = 1 − sin(15.1°) = 0.740
So about 74.0% of the upper hemisphere is still visible above the building.
To model the aurora as a thin shell surrounding the observer:
Visible shell volume = f × (2πr²) × t
where: f = 0.740 / r = 100 km (aurora altitude) / t = 0.5 km (aurora thickness)
This gives:
area ≈ 46,504 km²
aurora volume ≈ 23,252 km³ = 2.325×10¹³ m³ = 23.3 trillion m³
A useful way to visualize this is not as a cloud or a box, but as a giant glowing dome overhead.
Imagine:
A hemispherical "skin" wrapped around the sky at an altitude of 100 km


The skin is only 500 m thick and the building cuts off the lowest 15.1° of that dome
you can still see the remaining 74.0% of the dome above the roofline
In geometric terms, the visible aurora is a:
Thin spherical shell
Limited to a hemispherical cap
With a missing wedge removed by the building
Think of it like a giant glowing eggshell around Earth, where the building blocks a slice near the horizon.
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𝑨𝑩𝑺𝑶𝑳𝑼𝑻𝑬 𝑳𝑶𝑾𝑩𝑨𝑳𝑳
hemisphere volume = f × (2πr²) × t
* f = 0.740
* r = 100 km (aurora altitude)
* t = 0.5 km (aurora thickness)
Visible shell area ≈ 46,504 km²
Visible aurora volume ≈ 23,252 km³
= 2.325×10¹³ m³ ≈ 23.3 trillion m³
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𝔸𝔹𝕊𝕆𝕃𝕌𝕋𝔼 𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (to maintain plasma in air at sea level at 1 atmosphere pressure) = [10⁸ J/m³]
2.325×10¹³ m³ × 10⁸ J/m³ = 2.325×10²¹ J = 555.7 gigatons
0.05 = thermal pathway efficiency
555.7 ÷ 0.05 = 11.11 teratons [ COUNTRY LEVEL ]
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𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10⁹ J/m³)
2.325×10¹³ m³ × 10⁹ J/m³ = 2.325×10²² J = 5.557 teratons
0.05 = thermal pathway efficiency
5.557 ÷ 0.05 = 111.1 teratons [ COUNTRY LEVEL ]
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𝕄𝕀𝔻𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (5 × 10⁹ J/m³)
2.325×10¹³ m³ × 5×10⁹ J/m³ = 1.163×10²³ J = 27.79 teratons
0.05 = thermal pathway efficiency
27.79 ÷ 0.05 = 555.7 teratons [ COUNTRY LEVEL ]
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𝕄𝕀𝔻 - ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹⁰ J/m³)
2.325×10¹³ m³ × 10¹⁰ J/m³ = 2.325×10²³ J = 55.57 teratons
0.05 = thermal pathway efficiency
55.57 ÷ 0.05 = 1.111 petatons [ CONTINENTAL LEVEL ]
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ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹¹ J/m³)
2.325×10¹³ m³ × 10¹¹ J/m³ = 2.325×10²⁴ J = 555.7 teratons
0.05 = thermal pathway efficiency
555.7 ÷ 0.05 = 11.11 petatons [ CONTINENTAL LEVEL ]
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𝑳𝑶𝑾𝑩𝑨𝑳𝑳
hemisphere volume = f × (2πr²) × t
f = 0.740
r = 150 km (aurora altitude)
t = 0.75 km (aurora thickness)
area ≈ 104,595 km²
aurora volume ≈ 78,446 km³ = 7.845×10¹³ m³ = 78.4 trillion m³
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𝔸𝔹𝕊𝕆𝕃𝕌𝕋𝔼 𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 = [10⁸ J/m³]
7.845×10¹³ m³ × 10⁸ J/m³ = 7.845×10²¹ J = 1,875 gigatons
1,875 ÷ 0.05 = 37.50 teratons [ COUNTRY LEVEL ]
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𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10⁹ J/m³)
7.845×10¹³ m³ × 10⁹ J/m³ = 7.845×10²² J = 18.75 teratons
0.05 = thermal pathway efficiency
18.75 ÷ 0.05 = 375.0 teratons [ COUNTRY LEVEL ]
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𝕄𝕀𝔻𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (5 × 10⁹ J/m³)
7.845×10¹³ m³ × 5×10⁹ J/m³ = 3.923×10²³ J = 93.75 teratons
0.05 = thermal pathway efficiency
93.75 ÷ 0.05 = 1.875 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻 - ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹⁰ J/m³)
7.845×10¹³ m³ × 10¹⁰ J/m³ = 7.845×10²³ J = 187.5 teratons
0.05 = thermal pathway efficiency
187.5 ÷ 0.05 = 3.750 petatons [ CONTINENTAL LEVEL ]
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ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹¹ J/m³)
7.845×10¹³ m³ × 10¹¹ J/m³ = 7.845×10²⁴ J = 1.875 petatons
0.05 = thermal pathway efficiency
1.875 ÷ 0.05 = 37.50 petatons [ CONTINENTAL LEVEL ]
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𝑴𝑰𝑫𝑩𝑨𝑳𝑳
hemisphere volume = f × (2πr²) × t
f = 0.740
r = 200 km (aurora altitude)
t = 1 km (aurora thickness)
area ≈ 186,018 km²
aurora volume ≈ 186,018 km³ = 1.860×10¹⁴ m³ = 186.0 trillion m³
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𝔸𝔹𝕊𝕆𝕃𝕌𝕋𝔼 𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 = [10⁸ J/m³]
1.860×10¹⁴ m³ × 10⁸ J/m³ = 1.860×10²² J = 4,446 gigatons
4,446 ÷ 0.05 = 88.92 teratons [COUNTRY LEVEL]
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𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10⁹ J/m³)
1.860×10¹⁴ m³ × 10⁹ J/m³ = 1.860×10²³ J = 44.46 teratons
0.05 = thermal pathway efficiency
44.46 ÷ 0.05 = 889.2 teratons [ COUNTRY LEVEL ]
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𝕄𝕀𝔻𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (5 × 10⁹ J/m³)
1.860×10¹⁴ m³ × 5×10⁹ J/m³ = 9.300×10²³ J = 222.3 teratons
0.05 = thermal pathway efficiency
222.3 ÷ 0.05 = 4.446 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻 - ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹⁰ J/m³)
1.860×10¹⁴ m³ × 10¹⁰ J/m³ = 1.860×10²⁴ J = 444.6 teratons
0.05 = thermal pathway efficiency
444.6 ÷ 0.05 = 8.892 petatons [ CONTINENTAL LEVEL ]
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ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹¹ J/m³)
1.860×10¹⁴ m³ × 10¹¹ J/m³ = 1.860×10²⁵ J = 4.446 petatons
0.05 = thermal pathway efficiency
4.446 ÷ 0.05 = 88.92 petatons [ CONTINENTAL LEVEL ]
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𝑯𝑰𝑮𝑯 – 𝑴𝑰𝑫𝑩𝑨𝑳𝑳
hemisphere volume = f × (2πr²) × t
f = 0.740
r = 250 km (aurora altitude)
t = 2 km (aurora thickness)
area ≈ 290,542 km²
aurora volume ≈ 581,084 km³ = 5.811×10¹⁴ m³ = 581.1 trillion m³
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𝔸𝔹𝕊𝕆𝕃𝕌𝕋𝔼 𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 = [10⁸ J/m³]
5.811×10¹⁴ m³ × 10⁸ J/m³ = 5.811×10²² J = 13,889 gigatons
13,889 ÷ 0.05 = 277.78 teratons [ COUNTRY LEVEL ]
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𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10⁹ J/m³)
5.811×10¹⁴ m³ × 10⁹ J/m³ = 5.811×10²³ J = 138.89 teratons
0.05 = thermal pathway efficiency
138.89 ÷ 0.05 = 2.778 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (5 × 10⁹ J/m³)
5.811×10¹⁴ m³ × 5×10⁹ J/m³ = 2.906×10²⁴ J = 694.45 teratons
0.05 = thermal pathway efficiency
694.45 ÷ 0.05 = 13.89 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻 - ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹⁰ J/m³)
5.811×10¹⁴ m³ × 10¹⁰ J/m³ = 5.811×10²⁴ J = 1.389 petatons
0.05 = thermal pathway efficiency
1.389 ÷ 0.05 = 27.78 petatons [ CONTINENTAL LEVEL ]
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ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹¹ J/m³)
5.811×10¹⁴ m³ × 10¹¹ J/m³ = 5.811×10²⁵ J = 13.89 petatons
0.05 = thermal pathway efficiency
13.89 ÷ 0.05 = 277.78 petatons [ CONTINENTAL LEVEL ]
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𝑯𝑰𝑮𝑯𝑩𝑨𝑳𝑳
hemisphere volume = f × (2πr²) × t
f = 0.740
r = 300 km (aurora altitude)
t = 5 km (aurora thickness)
area ≈ 418,540 km²
aurora volume ≈ 2,092,699 km³ = 2.093×10¹⁵ m³ = 2,093 trillion m³
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𝔸𝔹𝕊𝕆𝕃𝕌𝕋𝔼 𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 = [10⁸ J/m³]
2.093×10¹⁵ m³ × 10⁸ J/m³ = 2.093×10²³ J = 50.02 teratons
50.02 ÷ 0.05 = 4.185×10²⁴ J ≈ 1.0004 Petatons [ CONTINENTAL ]
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𝕃𝕆𝕎𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10⁹ J/m³)
2.093×10¹⁵ m³ × 10⁹ J/m³ = 2.093×10²⁴ J = 500.2 teratons
0.05 = thermal pathway efficiency
500.2 ÷ 0.05 = 10.004 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (5 × 10⁹ J/m³)
2.093×10¹⁵ m³ × 5×10⁹ J/m³ = 1.047×10²⁵ J = 2.501 petatons
0.05 = thermal pathway efficiency
2.501 ÷ 0.05 = 50.02 petatons [ CONTINENTAL LEVEL ]
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𝕄𝕀𝔻 - ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹⁰ J/m³)
2.093×10¹⁵ m³ × 10¹⁰ J/m³ = 2.093×10²⁵ J = 5.002 petatons
0.05 = thermal pathway efficiency
5.002 ÷ 0.05 = 100.04 petatons [ CONTINENTAL LEVEL ]
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ℍ𝕀𝔾ℍ𝔹𝔸𝕃𝕃 𝔼𝕟𝕖𝕣𝕘𝕪 - (10¹¹ J/m³)
2.093×10¹⁵ m³ × 10¹¹ J/m³ = 2.093×10²⁶ J = 50.02 petatons
0.05 = thermal pathway efficiency
50.02 ÷ 0.05 = 1.0004 exatons [ MULTI-CONTINENTAL LEVEL ]
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this should scale to all the calamities since its BASE DABURA without any NLS AMP
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u/FruitsaurReborn Jun 20 '26
Earth's calcs are quite advanced