Thursday, August 14, 2008

Geometric metaphor in Genesis

Meru Project findings demonstrate that the relationship between physical theory and consciousness, expressed in explicit geometric metaphor, was understood and developed several thousand years ago. This relationship also explains the paradoxical affinity of our spiritual traditions for what seems to be number mysticism and geometric form. While this theory may require us to reassess common presumptions about the nature and quality of our spiritual traditions, it will also serve to reinvigorate the healthy core of these traditions, illuminate their origins and their inherent differences, and make clear how the growth of our civilization was and is dependent on them.

These concepts were developed and claimed by a wide range of otherwise distinct traditions because they are common to all human experience. Therefore, the geometric metaphor could serve as a bridge of mutual respect and understanding between these traditions, without blurring the critical distinctions that make each unique. The common geometric tools of the original Hebrew and later Abrahamic and Greek world-views can be seen in perspective, demonstrated, and mutually appreciated. (Similar concepts also appear in eastern traditions, but this has not been explored.)

This model, because it is based on self-propagation and embryonic growth, can be applied to the study of a wide range of self-organizing, independently acting, and self-learning systems including those associated with artificial intelligence and expert systems.

This is also an ecological model with immediate applications. It illustrates the inherent interdependent organic structure of whole systems. It was - and is - intended to be applied to social, psychological, political, and commercial organization.

This is a powerful interdisciplinary model. It can integrate embryology, geometry, physics, language, psychology, athletics, and dance into one educational system. Young people find that this model provides an intuitive foundation and appreciation for hyper-dimensional concepts and their relationship to organic growth and self-organization.

The geometric metaphor is a powerful aid to understanding the historical impact of mathematics, as well as its essential place in our lives.

The Tree of Abraham


Poster ©2002 Stan Tenen

The "Tree of Abraham, an Organic Model of Western Civilization," is an attempt to illustrate the intrinsic cyclic relationship among the three Abrahamic covenants. They overlap in time, and they are sequential in time. They overlap in space, and they are sequential in space.

There is an historical flow from the perennial tradition to Abraham, and then to Judaism, Christianity, and Islam. So, we can make a model that shows the perennial pre-history, surrounded by Judaism, surrounded by Christianity, surrounded by Islam, and now again, surrounded in the world by the perennial history we are making today. When we look back in time through Islam, we see Christianity, and when we look back in time through Christianity, we see Judaism, and before that, perennial and unbounded history. This is the flow of civilization and time, moving from a metaphoric Jewish seed, through a metaphoric Christian tree, to a metaphoric Islamic fruit.

We also have all three traditions as three phases of life, together at the same time in our time. The conceptual phase is identified with Judaism, the gestational phase with Christianity, and the letting-go (birthing) phase with Islam. Of course, each of these phases of faith must include the other two, because this is all happening all at once, right now, just as it is also happening eternally, cyclically, and throughout history.

Life grows both ways. Life grows sequentially in time, and it grows spread out in different organs within an organism at any given time.

(An earlier poster introducing this model can be found at Additional material on this theme can be found in our section on Making Peace with Geometry.)

Judaism, Christianity, Islam - A Common Geometry

This poster, and its companion poster, The Tree of Abraham, present a visual geometric model for viewing the relationships among main cultural "players" in the Middle East. The three Abrahamic faiths are organs of a single, unified living system. See also an earlier essay by Stan Tenen, The Three Pillars of Love, at

These posters complement both The Three Pillars of Love and Meru's Draft Architectural Proposal for the New York World Trade Center.

For additional material on this topic, see also Making Peace with Geometry.