A hydrogen atom can be modeled as being made up of two point particles: a proton and an electron. These interact with each other electromagnetically (giving them potential energy), and also move around (giving them kinetic energy).
This means that the total energy can be written as
Just two operators left behind in it! We're almost there. We can separate out the wavefunction again, into an angular and a radial part.Read more >
The language of quantum mechanics is the language of states and operators. They are closely related mathematical objects, and they're how the world works on its most fundamental level, so I hope you're listening closely.
A state is a configuration that your system can be in. A system is whatever you're doing the calculations on; in real life, there is only one system (the Universe), but physicists usually only look at very small subsystems, like single particles, when solving exactly. Fields like statistical and classical mechanics fill in the gap, generalising these small-scale quantum results to large-scale results that are practically useful.
These configurations can be probability distributions. A valid state for a particle with spin mig…Read more >
There is a language, that only the True God can speak, called Perfect Metaphysics Language. The language is hard to learn, and harder to use; it has a hierarchically independ number of words, arranged in a hierarchically independent number of grammatical structures.
Perfect Metaphysics Language has one purpose: it lets you find things. A sentence in Perfect Metaphysics Language is a set of coordinates, telling you the precise location of the concept you are speaking about. It can communicate anything, perfectly; the name is not a metaphor or an exaggeration.
Perhaps it also creates the concept; it is said that when the True God created the Box, it spoke every sentence in Perfect Metaphyics Language, in order, and upon finishing each sentence …Read more >
As a civilisation develops, it passes through multiple growth regimes – periods representing broadly different rates of economic growth obtained from different sources.
The forager growth regime is the first that many civilisations go through. In this regime, members of the civilisation rely on resources they can acquire naturally from the unmodified environment, as they did before they developed a civilisation.
Growth in the forager regime is very slow, and tied to population; the size of the economy is constrained to match the unmodified carrying capacity of the land, which is often very low compared to what can be achieved with modification. Doubling times of hundred of thousands of years are not atypical, and this growth regime usually l…
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Whilst the megaverse is full of many tales of civilisations surviving, it is full of plenty of civilisations not surviving. This gruesome sample size is unfortunately enough to create a reasonable typology of risks that face civilisations at all levels; illegal emulations have also netted results in the field before the peacekeeping forces of the megaverse put a stop to it.
Natural risks are constant state risks that all life faces as a condition of existing in an occasionally hostile universe. Their impacts are typically limited in scope (since universes with high enough natural risks never form life in the first place), but they are also difficult to mitigate for planetary civilisations, especially those that are still bound to the natural …
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