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On Mr. Musk & Kardashev II Technology

https://nuclearweaponarchive.org/Nwfaq/Nfaq12.html

I'm typing this on a laptop that weighs about 1kg. According to the table in the image, if the matter making up the laptop could be converted totally into energy, the output would be about 20 megatons of TNT equivalent. About a thousand times the Nagasaki bomb.

So this, or somewhere related to this level of energy production is needed to start the journey to Kardashev II civilisation. I don't think solar will cut it. Read on to see how solar could start to approach type 1 civilisation though. 

Kardashev Type I civilisation

The total energy the earth could capture - to give an idea of scale as this is not how Musk is planning to capture solar power, is about 174,000 terawatts or 174 petawatts or about 10,000 times the total planetary demand today, 4 orders of magnitude. There's plenty of solar power if only we could capture it. 

Now, if it were possible to totally convert a kilogram of matter as above to energy that would give about 90,000 terawatts (in a second, similarly to the solar insolation), or about half the energy the earth receives from the sun continuously. 

Or put another way, to create the same amount of energy as we get from the sun, technology would have to annihilate about 2kg of matter every second. Doesn't seem like too much.

Put yet another way, image detonating a Tsar bomb(60 megatons) every second continuously and somehow capturing all the energy. That would be about the same as the total solar insolation. Just to put it into perspective. It feels like the scale of it is not out of reach even today, you can imagine and visualise it with current technology.

Kardashev Type II civilisation

I'm sure Mr. Musk has many ideas about this and has already visualised a number of pathways to Kardashev type 2 civilisation. Type 2, is a civilisation that uses all the energy from its star, which is way way more than this solar insolation example demonstrates, which more resembles that of a type 1 civilisation where the entire planets energy resources are totally used - in our case all the energy falling on the disc of the planet.(I realise this is not how it will be done its just an example you can see)

Lets compare to see where it takes us. Direct comparison: How much mass does the Sun convert to energy every second vs. 1 kg of total conversion?

Source
Power output (watts)
Equivalent mass fully converted per second (via E=mc²)
1 kg of matter completely annihilated (in 1 second)
9 × 10¹⁶ W (90 petawatts)
1 kg/s
The Sun’s total luminosity (all energy radiated in every direction)
3.826 × 10²⁶ W
≈ 4.26 × 10⁹ kg/s
(4.26 billion kilograms per second)
Interpretation
  • To produce the same power that the Sun radiates into space right now, you would need to completely convert about 4.26 billion kg (4.26 million metric tonnes) of matter into pure energy every single second.
  • Your 1 kg of total conversion produces only 1 / 4,260,000,000 of the Sun’s current output — roughly 0.000000023 % (2.3 × 10⁻⁸ %) of the Sun’s power.
  • Or about 2 billion times more energy than solar insolation(2kg of mass needed not 1kg) - so the difference between Kardashev type 1 & 2 is about 2 billion, assuming you only count solar power hitting the disc of the earth and ignore mineral and nuclear resources on the surface, which I do not believe would last long even if used.
A Type II civilisation is defined as one that can harness the entire energy output of its star (in our case, something like 3.826 × 10²⁶ W).To reach Type II using perfect matter-to-energy conversion (e.g., matter-antimatter reactors, black-hole power plants, etc.), such a civilisation would need to annihilate:≈ 4.26 billion kilograms of matter every second
(or roughly 134 kg per microsecond).That is the scale of mass throughput required. For perspective:
  • 4.26 billion kg/second ≈ the mass of ≈ 700 Great Pyramids of Giza every second.
  • Over a year, that’s about 1.34 × 10¹⁷ kg — roughly 0.00007 % of the Sun’s total mass (2 × 10³⁰ kg), so a Type II civilization running at 100 % efficiency could in principle keep going for over a million years before noticeably depleting the star’s mass via annihilation (of course they would more likely use stellar lifting or fusion, but this shows the pure E=mc² benchmark).

Mr. Musk has not made it clear yet how his vision starts with Type 1 solar power and ends up at Type 2 annihilation. It would be great to get an understanding of it. 

Good old Grok tells us much more here: https://x.com/i/grok/share/yBEsF7GlgeMP1Awppc0TqY73v

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