Torah, Topology, and Midrashic Literature

Topology is the mathematical study of the structure of spaces, topological spaces.  A topological structure is defined by the system of neighborhoods of the points in the space.  The theory of topological spaces captures the intuitive notion of closeness: two points are close in the topology of the space if each of the points are in a neighborhood of the other.  In general, there may be many neighborhoods in which both points are found ─ it is the global structure of the system of neighborhoods therefore that represents the topological structure of the space.  Topologists develop tools for studying the structure of topological spaces.

How can we use ideas from topology to understand the higher-dimensional Torah?  This Torah is pure mathematical code, that is, linguistically coded vibrational patterns in the Metatronic thought-space.  There are no worldly concepts that apply to what is written in Torah.  Every event, every person, every name and every thing is not like anything in our sensory experience.

Every word of Torah is a topological subspace of the Metatronic thought-space.  The linear format of the written Torah is not an accurate reflection of the topology of the Metatronic thought-space.  The topology of these spaces is seen through the vibrational resonances between words and verses of Torah and the system of the 10 Sefirot.  Just because two words or verses happen to be adjacent in the text of Torah does not mean that they are close in the topology of the Metatronic thought-space.  Two words are close in the this topology when there is a vibrational resonance betwen them, even though they may appear in distant locations in the written Torah.

The aim of Midrashic literature, such as Midrash Rabbah and Sefer haZohar, is to explore the system of neighborhoods of words and verses of Torah and how these are connected to the Sefirot.  Students of Midrash are then able to perceive the actual structure of the topology of the Metatronic thought-space by understanding the patterns of vibrational resonance amongst the words of Torah.

I believe there is an aggadah that describes Rabbi Ishmael sitting and studying Torah and a great fire was blazing all around him.  His students approached and asked him what he was doing.  He said he was 'stringing together' words of Torah, Nevi'im, and Ketuvim, and that the words of Torah were as wondrous as they were when they were given to Moshe on Sinai.  He really meant that he was mapping out the vibrational resonances between words and verses in disparate locations, and was amazed how they were topologically close, yet physically distant.

-- S.A.O.

The 13 Attributes of Mercy - Practical Application for Daily Life

We explain how to apply the 13 Attributes of Mercy, as taught in the Kabbalah of Rabbi Moshe Cordovero, for practical application in daily life.  First we explain the theory of the 13 Attributes and how they are derived, and then indicate their placement on the Etz Chayyim (Tree of Life).  We then introduce the 13 Attributes individually, both in the original Hebrew and in English translation.  We give many tips on how to apply the 13 Attributes in challenging life situations, especially to overcome conflicts with other people.  We finish by doing a simple activation of the 13 Attributes that you can learn to do yourself, and mention that there are many more advanced activations that can be done with the 13 Attributes.

Video series on Torah Mysteries and the Fractal Geometry of Creation

This 3-part video series reveals many deep mysteries behind creation. This is really cool stuff if you're interested in expanding your consciousness to be aware that you are living in universe full of magic.

We begin introducing the esoteric concept of the Torah as the codebook of creation. We then describe the basics of fractal geometry by introducing the Cantor set and look at the 10 sefirot of the Tree of Life as an example of a fractal structure that occurs throughout creation. This will lay the foundations for the next videos which will present the mysteries of the Torah as the fractal language of creation.

Part 1:

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We continue the video series by exploring concepts related to fractals and spiritual science. The idea of a fractal is illustrated with the very important example of the Mandelbrot set. We also explain the meaning of vibrational resonance and indicate how it will be used to scientifically verify the claims to be made in the next video regarding the Torah as the fractal language of creation.

Part 2:




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We build upon the concepts introduced in the first two parts to now present the main claims of this research. The idea of the Torah as the fractal language of creation is presented in detail. We will also see that Torah itself is a fractal. We begin by taking seriously the Talmudic teaching that the whole Torah is somehow contained in just the first letter Bet. We conclude by indicating practical methods of activating these energies into our consciousness and experience fractal states of mind.
Part 3: