A Type I unit of power, the Sol

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Discussion Overview

The discussion centers around the concept of a Type I civilization's power consumption, specifically introducing the term "Sol" to represent the power output of the Sun. Participants explore the implications of current human energy consumption in relation to this theoretical framework, comparing it to the Sun's output and discussing various measurements of power usage on Earth.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant proposes naming the Sun's power output, approximately 10^26 watts, as a "Sol" to facilitate discussions about Type I civilizations.
  • Another participant notes that the Sun produces more energy in one second than humanity will consume in three million years, highlighting the vast difference between solar output and human consumption.
  • A participant discusses the relationship between human energy consumption and solar energy, suggesting that current power consumption is about 0.1% of the Sun's output received on Earth, but acknowledges uncertainty in their calculations.
  • There is a discrepancy in estimates of global power consumption, with one participant suggesting around 4 terawatts and another proposing it could be as high as 40 terawatts, indicating a lack of consensus on the exact figure.
  • One participant provides a link to a resource that may contain detailed studies on world power usage, suggesting that authoritative measurements exist but are not universally agreed upon in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the exact figures for global power consumption and the relationship between human energy use and solar output. There is no consensus on the precise measurements or implications of these figures.

Contextual Notes

Participants reference various calculations and estimates, but some acknowledge potential errors or discrepancies in their numbers, indicating that the discussion is dependent on specific assumptions and definitions of power consumption.

selfAdjoint
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It's fun to think about the far-out Type II and III civilizations, but how close are we now to Type I?

M. Kaku says the output of our star is about "a billion trillion trillion ergs per second". That is, if I have done the arithmetic correctly, 10^33 ergs/sec or, dividing by 10^7, 10^26 watts. Note that this is power, rate of producing or consuming energy that we are talking about. I propose to name this amount of power the Sol. Numbering your power flux in Sols would be a practice of a Type I civilization.

Currently we measure the power consumption on Earth in quads, quadrillions of BTUs per year. That's 10^15 BTU/yr = 3.169 X 10^10 watts. In 2000 the Earth used energy at the rate of 300 quads per year, or about 10^13 watts. Notice that this power, 10^13 watts as numerically the square root of 1 Sol = 10^26 watts. This says that on a harmonic progression scale, we are half way from 10^0 watts (idly scratching) to the mark of Type I, the Sol.

Go humans, go!
 
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An interesting fact that I tell my students is that the Sun produces more energy every second than mankind will use, at the current rate of consumption, in three million years.

- Warren
 
With the exception of nuclear and geothermal sources, we live by eating the Sun, past and present. IIRC, we are eating the past Sun at a rate several hundred times faster than it was produced. Looking purely at power consumption - SelfAdjoint's numbers - and with a small envelope, our present power consumption is ~0.1% of the Sun's present power output, as received on Earth (my envelope is quite small; in trying to square SelfAdjoint's numbers with chroot's, I find a factor of ~10 has crept in somewhere).

Of course we eat more of the Sun than just raw power to run our cars, light our homes, and surf the internet; we also eat and keep warm. Does anyone have a handle on how much of the Sun-on-Earth, in total, we consume?
 
I thought worldwide power consumption was around 4 terawatts. selfAdjoint believes it's closer to 40 terawatts, but, frankly, I don't know. I'm sure someone has done a detailed study and listed a specific figure somewhere. My guess is the number of sig figs in selfAdjoint's 3.169 X 10^10 watts is due to some relatively precise authoritative measurement. So, let's be generous and say mankind uses 40 TW.

- Warren
 
World power usage is in hundreds of quads, here is a http://www.aip.org/pt/vol-55/iss-4/p38.html
 
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