Mathematics is based on numbers. Sacred mathematics is essentially the study of the numerical and logical meaning of various spiritual forces and their connections with physical reality that allow us through gematrical vectors or other ways to discover constants, ratios and proportions in nature and the universe through bonds between the Torah and physical matter, by research into the numerical and logical meaning of spiritual letter combinations.

Sacred mathematics deals with logical reasoning and quantitative calculations of bonds between the internal part of the Torah and physical reality through unique properties of the holy language founded by early kabbalah. Sacred mathematics explores the mathematical properties of creation and is rooted in ancient kabbalah. In fact, sacred mathematics is the tool that allows us to expand our physical knowledge through our understanding of spiritual knowledge.

Applied sacred mathematics deals with the application of diverse bonds between spiritual letter combinations and ratios, constants and proportions in physics, engineering, medicine, biology, finance, business, computer science, industry, and other fields of science and technologies. It is based on kabbalah (spiritual knowledge) and specialized physical knowledge.

There is a distinction between applied sacred mathematics and sacred mathematics. Applied sacred mathematics is concerned with science, engineering, and physical knowledge. Sacred mathematics is kabbalistic knowledge related to the kabbalah of Malchut (kingdom).

Sacred mathematics, by way of definition, refers to the concepts which, according to ancient scholars, encompassed all of creation in mathematical terms and represented a wholly physical reality. The first book about connections between Hebrew letters and physical reality was the Sefer Yetzirah, which explains how the world is created with 22 Hebrew letters and ten sefirot and how letters and their combinations relate to physical reality.

The aim of sacred mathematics is mathematical proof of the existence of God and the divinity of the Hebrew Bible by searching for explanations of aspects of the natural world, which have been repeatedly confirmed through observation and experiment. Therefore, sacred mathematics is a novel way to do science based on the holy language and the Hebrew Bible.

A mathematical phenomenon of the Torah is related to the unique ratios and proportions of nature. These phenomena can be represented by the fascinating connections between the Hebrew holy texts and physical reality through bonds between spiritual periodic trends and periodic trends of nature. According to modern science, proportions and ratios establish a relation between two or more quantities and thus help in their comparison. All nature is founded on proportions, constants, and ratios.

God made the Torah, spiritual ratios, proportions, and ratios of nature. Everything else is the work of man, as empirical and theoretical knowledge about nature. God created our world through ratios and constants of nature, which He embedded in the Torah.

Because Torah ratios (spiritual ratios) are fundamental knowledge about the physical world, this is evidence that laws of physical reality were written in mathematical language founded by spiritual ratios and properties. In this connection, the mathematical study of the Torah deals with investigations of the numerical meanings of various spiritual forces and their connections with physical reality through connections between spiritual letter combinations and ratios of nature and the universe in order to discover how our world was designed.

The Sefer Yetzirah (book of Creation) says: “By three books: the book of wisdom, the book of understanding and the book of spiritual knowledge G-d created the world.” The book of wisdom is the Torah, the book of understanding is the book of numbers (sacred mathematics), and the book of spiritual knowledge is the book about the sources and roots of the physical world.

We do not know how G-d designed, formed, combined, and weighed letters and created diverse letter combinations (divine and spiritual names). However, thanks to Sefer Yetzirah and early kabbalah, some principles of forming and weighing such letter combinations are known. One of these principles is based on ten sefirot and ratios of spiritual letter combinations. This method allows us to calculate divine and spiritual names and represent them by gematrical vectors in ten directions.