Sorcerous Alchemy: Creating Enchanted Crystals with Magic

When people refer to subtle energies, they tend to be referring to ethereal, ephemeral, and intangible things – things that have no concrete substance that you effectively hold in your hand. A lot of ideas about magic propose that it is facilitated by this ethereal and intangible thing. An intuitive concept of augmenting the attributes of something (enchanting it) is to take that ethereal substance, manipulate its properties, and anchor it in some way to something such that the physical object mediates ethereal properties so that it is augmented. This is effectively like painting or gilding an object. It does Read More


Abstract Algebra: Theory and Applications

The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.


Make Your Own Magical Rules

When people go about making their own magical “systems”, there tend to be two popular routes they take: making their own magical language without formalizing their ontology or they create random sigils. The problem, though, is that those two popular methods alone technically don’t create a magical system. A magical system is an abstraction comprised of a body of axioms, rules, and operations. If you were to look at classical and historical “magical systems”, you will see a formally articulated set of axioms and rules; an example of this is Western occultism. The problem with informally creating your own magical Read More


Harmonically Bridging The Future

My fiancé is a genius! He used his intuitive knowledge as a singer to help me figure out how to make manipulation of reality through manipulation of probable futures consistent. Temporal histories and probabilities are basically a set of harmonics, according to Physics. Time is less like a line and more like a collection of superimposed sinusoidal waves. You can see this if you look at how you can use Fourier Transformation (FT) to turn instances of time-dependent objects into frequency spectrums. Since the intervals of edges of concepts are “like” time in a lot of ways, you can apply Read More


Telling Time on a Torus

What shape do you most associate with a standard analog clock? Your reflex answer might be a circle, but a more natural answer is actually a torus. Surprised? Then stick around.



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