Scientific knowledge is obtained from systematic investigation, which makes it possible to discover ongoing relationships between facts and phenomena. Classification is the process of organizing items into groups that share similar characteristics and features. When we classify things, we put them into groups based on their characteristics. The classification system is mainly based on physical or logical similarities and characteristics of objects.

Throughout history scholars have tried to classify elements of nature and to construct periodic trends for them. Scientists have been interested in periodicity for several centuries because the laws of periodicity allow for a better understanding of interrelationships between elements of nature and are useful to allow us to qualitatively determine how properties of the elements of nature vary.

Physical processes are related activities over elements of nature. Periodic processes are a set of processes that run periodically. The Torah describes periodic processes of physical reality that may be detected and represented by G-combinations of letters or divine and spiritual names. Spiritual periodic trends are based on G-combinations, which are sets of properties and patterns which form the building blocks of creation.

Hidden messages of the Torah describe periodic processes of reality represented by G-combinations and their numerical and logical meanings. Hidden messages of the Torah are the Torah ratios represented by gematrical vectors of G-combinations. Hidden messages of the Torah provide us with systematic information about nature founded by periodic processes of reality. Sacred mathematics explores mathematical properties of the creation by studying hidden messages of the Torah in order to investigate periodic processes of spirituality in our world.

Mathematics is a science that uses logical reasoning, counting, measuring, and calculations to make sense of the real world. The word “rational” is derived from the word 'ratio', which means a comparison of two or more values or integer numbers. Reason and rational are related terms. Mathematics uses reason to research abstract ratios of the rational world.

Ratios are a helpful tool for comparing things to each other. Ratios occur often in daily life and help to simplify many of our interactions by putting numbers into perspective. Ratios allow us to measure and express quantities by making them easier to understand. They are used to compare numbers in quantitative terms in real-world situations. Ratios and proportions find application in solving many daily life problems and show the relation between two or more quantities and thus help in their comparison.

There are two ways to express a ratio: as a numerical vector or as a scalar quantity. A quantity which depends on direction is called a vector quantity and a quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics: magnitude and direction; whereas scalar quantities have only magnitude. To better understand our world, people compare scalar quantities (ratios). Comparing two vectors of ratios is more complex because we must consider both magnitude and direction ratios.

In the broadest sense, vectors of ratios are vectors of data and their directions. The simplest ratio vectors show the whole-number ratio of data and their directions. Structural vectors of ratios additionally show how the data are bonded to each other. The simplest vector of ratios shows the whole-number ratio of data and their directions. Structural vector of ratios additionally shows how the empirical data are bonded to each other.

The hidden messages of the Hebrew Bible provide fundamental information about vectors of ratios that directly relate to our daily life, nature, and the universe.