Calc His Dark Materials - The Clouded Mountain

Calculations
The Amber Spyglass said:
“We found our way into the Clouded Mountain,” said Baruch, and at once went on: “I’m sorry; we use these terms too easily. It’s sometimes called the Chariot. It’s not fixed, you see; it moves from place to place. Wherever it goes, there is the heart of the Kingdom, his citadel, his palace. When the Authority was young, it wasn’t surrounded by clouds, but as time passed, he gathered them around him more and more thickly. No one has seen the summit for thousands of years. So his citadel is known now as the Clouded Mountain.”
The Authority created the Clouded Mountain long ago, and gathered clouds around it until it was hidden. It has since passed to Metatron, who not only rules it, but sustains it.
The Amber Spyglass said:
"With the Regent at the reins. He’s concealed himself well, this Metatron. They speak of him in the apocryphal scriptures: he was a man once, a man called Enoch, the son of Jared, six generations away from Adam. And now he rules the Kingdom. And he’s intending to do more than that, if that angel they found by the sulphur lake was correct—the one who entered the Clouded Mountain to spy. If he wins this battle, he intends to intervene directly in human life. Imagine that, Ogunwe—a permanent Inquisition, worse than anything the Consistorial Court of Discipline could dream up, staffed by spies and traitors in every world and directed personally by the intelligence that’s keeping that mountain aloft… The old Authority at least had the grace to withdraw; the dirty work of burning heretics and hanging witches was left to his priests. This new one will be far, far worse."
The intensity of the clouds around the Clouded Mountain;
The Amber Spyglass said:
All through that day the army assembled. Angels of Lord Asriel’s force flew high over the Clouded Mountain, looking for an opening, but without success. Nothing changed; no more angels flew out or inward; the high winds tore at the clouds, and the clouds endlessly renewed themselves, not parting even for a second.
The Amber Spyglass said:
The barometric altimeter was little use in the storm, but she could judge her altitude roughly by watching the fires on the ground that blazed where angels fell; despite the hurtling rain, they were still flaring high. As for the course, that wasn’t difficult, either: the lightning that flickered around the Mountain served as a brilliant beacon. But she had to avoid the various flying beings who were still fighting in the air, and keep clear of the rising land below. She didn’t use the lights, because she wanted to get close and find somewhere to land before they saw her and shot her down. As she flew closer, the updrafts became more violent, the gusts more sudden and brutal. A gyropter would have had no chance: the savage air would have slammed it to the ground like a fly. In the intention craft she could move lightly with the wind, adjusting her balance like a wave rider in the Peaceable Ocean.
The storms around the Clouded Mountain span the horizon in front of Lyra (though the sky is still clear behind her), and brings down intense rains at the whim of the one commanding it.
The Amber Spyglass said:
Lyra felt it first on her cheeks, and then she saw the grass bending under it, and then she heard it in the hawthorns. The sky ahead was huge with storm: all the whiteness had gone from the thunderheads, and they rolled and swirled with sulphur yellow, sea green, smoke gray, oil black, a queasy churning miles high and as wide as the horizon.

Behind her the sun was still shining, so that every grove and every single tree between her and the storm blazed ardent and vivid, little frail things defying the dark with leaf and twig and fruit and flower.

And through it all went the two no-longer-quite-children, seeing the Specters almost clearly now. The wind was snapping at Will’s eyes and lashing Lyra’s hair across her face, and it should have been able to blow the Specters away; but the things drifted straight down through it toward the ground. Boy and girl, hand in hand, picked their way over the dead and the wounded, Lyra calling for her daemon, Will alert in every sense for his.

And now the sky was laced with lightning, and then the first almighty crack of thunder hit their eardrums like an ax. Lyra put her hands to her head, and Will nearly stumbled, as if driven downward by the sound. They clung to each other and looked up, and saw a sight no one had ever seen before in any of the millions of worlds.

Witches, Ruta Skadi’s clan, and Reina Miti’s, and half a dozen others, every single witch carrying a torch of flaring pitch pine dipped in bitumen, were streaming over the fortress from the east, from the last of the clear sky, and flying straight toward the storm.

Those on the ground could hear the roar and crackle as the volatile hydrocarbons flamed high above. A few Specters still remained in the upper airs, and some witches flew into them unseeing, to cry out and tumble blazing to the ground; but most of the pallid things had reached the earth by this time, and the great flight of witches streamed like a river of fire into the heart of the storm.

A flight of angels, armed with spears and swords, had emerged from the Clouded Mountain to meet the witches head-on. They had the wind behind them, and they sped forward faster than arrows; but the witches were equal to that, and the first ones soared up high and then dived into the ranks of the angels, lashing to left and right with their flaring torches. Angel after angel, outlined in fire, their wings ablaze, tumbled screaming from the air.

And then the first great drops of rain came down. If the commander in the storm clouds meant to douse the witch fires, he was disappointed; the pitch pine and the bitumen blazed defiance at it, spitting and hissing more loudly as more rain splashed into them. The raindrops hit the ground as if they’d been hurled in malice, breaking and splashing up into the air. Within a minute Lyra and Will were both soaked to the skin and shaking with cold, and the rain stung their heads and arms like tiny stones.

Through it all they stumbled and struggled, wiping the water from their eyes, calling in the tumult: "Pan! Pan!"

The thunder overhead was almost constant now, ripping and grinding and crashing as if the very atoms were being torn open. Between thunder crash and pang of fear ran Will and Lyra, howling, both of them—"Pan! My Pantalaimon! Pan!" from Lyra and a wordless cry from Will, who knew what he had lost, but not what she was named.
Given that it creates a violent storm and is said to be miles high, it's pretty clearly a cumulonimbus sort, which on average are 11,000m tall. Standard distance to the horizon is 4.7km, or 4700m. Volume as a cylinder.

V = πr2h
= π X 4700^2 X 11,000
= 7.63375599e11m^3

Density of a cloud is 1.003kg/m^3.

M = 7.63375599e11 X 1.003
= 765665725797kg

Looking at this storm scale, and the above descriptions of the clouds not parting for a second when high winds blow at them, and most aircrafts would get slammed to the ground instantly like a fly, then the storm would likely register as a violent storm, with wind speeds of 56 to 63 knots, or an average of 59 knots 30.3522222(m/s).

E = (0.5) X 765665725797 X 30.3522222^2
= 3.52687605e14 joules

Next for the rain that fell. It soaks Lyra and will within a minute, and the fall of the drops is described to sting like the fall of tiny stones, as well as being hurtling, which sounds like heavy rain (which would fit in with the rest of the storm too). Heavy rain is on average between 10 mm to 40 mm an hour, which averages at 25mm, or 0.025m.

A = πr^2
= π X 4700^2
= 69397781.7m^2

V = 69397781.7 X 0.025
= 1734944.54m^3

Water weighs 1000kg/m^3.

M = 1734944.54 X 1000
= 1734944540kg

Finally, for our energy. We'll add in the energy of the clouds being thrown around from earlier too.

E = 1734944540 X 2.5 X 10^6
= 4.33736135e15 + 3.52687605e14
= 4.69004896e15 joules
= 1.12094860421 megatons

Final Results
The Clouded Mountains storm system = 1.121 megatons


And the Authority and later Metatron constantly sustained this for thousands of years.

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