Conjuring Magical Crystals

Commonly, people conceptualize subtle energies as ephemeral, ethereal, and intangible quintessential entities. That assumption means that those entities have no solid substance that we can hold. Various ideas about magic propose that quintessential entities facilitate magical operations and applications such as enchantments. Manipulation of quintessential entities is an intuitive, easy, and common method of augmenting an object’s attributes. A common technique is to anchor, imprint, or link a quintessential, ethereal construct to the physical object so that the physical object emanates the enchantment’s properties. That method of enchantment is like painting or gilding an object. It does not change the 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.


Elegant Thaumaturgy

An arbitrary and random collection of symbols is not enough to create a consistent magical system. An issue with creating a magical system from random symbols is that there is no formal ontological framework. Consistent magical ontological frameworks can emerge from magical languages, and people can create magical languages through ordered and logical methods. A magical system is an abstraction comprised of a tuple of symbols and strings. Those strings encapsulate magical sigils, axioms, rules, and operations that relate sigils and entities. In classical, western, occult “magical systems”, there are formally articulated sets of axioms and rules. The dilemma of 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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