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Anyone who has explored the ancient philosophy of the East or the modern physics of the West is well aware of the strange concepts and ideas expressed and will have a head start in recognizing the intuitive beauty of the parallels. Yet the most amazing and important ideas can be grasped by anyone who is ready to explore the deepest mysteries of the Universe.

Our worldview is typically based on logic and objective reason, but it turns out that those deepest mysteries of the Universe challenge the very foundation of that worldview. Despite what common sense suggests, for example, today's physics shows us that the Universe is not actually composed of separate particles scattered around in space. The experience of separateness does indeed seem to be illusory, just as sages and mystics have been telling us since before we can remember.

 

The central principle of the great wisdom of the East is Nondualistic Mysticism: There is only one True Reality. It is that eternal and unchanging essence of existence upon which philosophers ponder and mystics meditate.

transcendental, yet omnipresent
timeless, yet the source of spacetime
formless, yet the creative essence of all form

It has often been pointed out that this mystical vision of Oneness from the ancient teachings finds a modern parallel in science's vision of a Universal Superforce which creates everything. The most exciting parallels, however, are in the principles of the creation process, and that is where the two disciplines can shed light on each other. For those of us not willing to ignore the scientific perspective, a modern metaphysical system of understanding is invaluable. Also, metaphysics deals with universal principles which naturally transcend religious dogma.

The reason we can talk about higher-dimensional realities within three-dimensional space is because, in the same way we can understand how a circle drawn on paper can represent a sphere, we can use the conceptual space of our mind to understand how a limited objective model can represent a higher reality. This conceptual mind-space, which gives us the capacity for abstract and conceptual thought, is called the higher mind.   In metaphysics, the higher mind is understood to reside within the higher dimensions of depth-consciousness known as the soul, and those dimensions do indeed go beyond three-dimensional physical space.

Language and Traditions

References to the Sanskrit classics are used because their metaphysical foundation is well-preserved and the terminology is familiar to all who have studied comparative religion and philosophy. Brahman and Atman, for example, refer to the Universal Spirit and the individual spirit, or to Universal Consciousness and individual consciousness. In the Hebrew tradition, the equivalent to Brahman is called Ein-Sof (The One). Brahman is not the same as theCreator God Brahma (Jehovah), but contains all aspects of the Trikaya (Trinity) within itself. Metaphysically understood, the Trikaya represents the creation process, which happens continuously. It should be understood that the underlying principles are universal and are the same for all spiritual traditions.

It should also be noted at the outset that no metaphysical system can claim to represent the transcendental in its true form. By definition, transcendental reality is unknowable, and to attribute any form whatsoever to the One Reality is idolatry. A metaphysical system is merely a tool to help bring forth realizations of higher realities which cannot be fully represented in three-dimensional space, let alone in a two-dimensional image.

In the language of philosophy and metaphysics, the term Logos refers to that dynamic character of the unknowable Mythos which is actually discoverable and experienceable. By definition, Logos (Om, the Word) is the perfect expression of Mythos. It is the First Cause of Creation and the creative polarity which makes everything happen. We experience it constantly. As the creative expression of Mythos, Logos has no reality independent of Mythos. The realization of Logos implies the existence of the otherwise unknowable Mythos. Geometrically thinking, if Logos were a sphere, Mythos would be its central point. Metaphysically, Mythos and Logos are equivalent to the first and second bodies of the Trikaya.

 

The study of metaphysics, and even conventional physics for that matter, provides insight along the path of Jnana Yoga, one of the three primary classifications of yoga: Bhakti Yoga, the way of devotion, Karma Yoga, the way of good works, and Jnana Yoga, the way of the intellect. In one combination or other, these three yogas form the foundation of all schools and systems of yoga, past and present, and they apply to any religion or spiritual teaching. Jnana Yoga is most prominent among Gnostics and Kabbalists, within monastic mystery schools, and in the teachings of Shankara, which go directly to the nondualistic foundation of the Vedic tradition.

Jnana Yoga is more suited to those whose intellects mistrust the emotional fervour of worship. It is the Yoga
of pure discrimination. It transcends the intellect through the intellect. It needs no Iswara, no altar, no image,
no ritual. It seeks a more immediate approach to Brahman. This path may perhaps be more direct, but it is also hard and steep.

Swami Prabhavananda
from the Introduction to
Shankara's Crest-Jewel of Discrimination

It seems that modern science is providing us with a new language to more easily explore this steep and ancient path. While physics, by definition, cannot provide scientific proof of a spiritual origin or a timeless center to our Universe, with core concepts right in line with the principles of nondualistic mysticism, it seems to point directly to the possibility.

Physics and Geometry

The mathematics used to describe quantum theory suggests, and cannot avoid, the very strange notion that the quantum processes which define matter and energy are somehow all unified in a way that is independent of their spacetime separation. Originally called nonlocality, referring to nonlocal (or spacetime-independent) connections, it is now generally referred to as quantum entanglement. Today, this implication of the theory is probably its best know feature. Equally bizarre, another feature arises from the quantum wavefunction which implies that all possible outcomes must somehow actually exist before a measurement or observation is made.

In the early days of quantum theory, because the math worked so well, the Copenhagen interpretation simply set aside any need to interpret such strange implications. It was generally believed that they arose from the use of wave mechanics (or matrix mechanics), and that a more rational interpretation of those implications would someday become clear. However, experiments in recent decades continue to show that nonlocality is indeed a physical characteristic of reality. It is now even routinely used in certain electronic devices.

Obviously, the need for a real interpretation has become more apparent. Fortunately, an understanding of the mathematics is not necessary to develop an intuitive understanding of the concepts involved. Geometry can be used as a very effective aid to represent the most profound scientific and mystical principles. Using multi-dimensional models we can visualize how separate atoms are actually unified in the quantum realm, and how our entire universe radiates from a single point in a higher dimension, a timeless Universal Singularity realized both in the zero-point Superforce of unified field physics and in the time-zero of Big Bang cosmology.

 

Modern science is working on a number of Unified Field Theories which attempt to mathematically describe how our entire physical Universe seems to arise from a single Universal Superforce. Each theory has its own supporters yet none seem to be provable to the satisfaction of the scientific method. Which model is 'most correct' is probably not as important as the realization of universal oneness to which they all point.

The mathematics of Relativity and quantum theory is multi-dimensional and complex, yet it describes a reality which is fundamentally simple and based on geometry -- the geometry of quantum force fields within the geometry of spacetime. As a representation of reality, geometry is arguably even more fundamental than the mathematics which describes it. The geometry of spacetime existed long before Einstein developed the equations of Relativity. The exact value of pi is intrinsic to the geometry of the circle, yet it cannot be precisely expressed as a number.

The Gnostics of the 12th Century had a geometric vision of Logos as "an intelligible sphere whose center is everywhere and circumference nowhere".(Joseph Campbell) Today, this geometric mind-bender could be represented by an infinite hypersphere, a four-dimensional sphere with infinite radius. Rather than a typical spherical plane with a radius and a surface, this is more like a spherical state of polarity, the polarity between singularity and infinity, with the infinity being a dimension beyond our three-dimesional experience of infinity.

Intriguingly, an interpretation of unified field physics suggests that a hyperspherical polarity of the Universal Superforce is the most fundamental expression of existence which can be realized from the physical plane, like a geometric Logos. In this picture, all quantum processes which define matter and energy, along with the seed of individual consciousness, are represented by simple geometric elements (radius rays and equatorial rings) of the hyperspherical geometry. (A ring on a four-dimensional hypersphere appears as a sphere in three-dimensional space.) With geometry representing the quantum realm in its most fundamental form, it can be thought of as forming the central reality of any of the current unified field theories.

Key Connections

The idea is very much like imagining the condition of the Big Bang as a timeless process continuously creating our experience of a dynamic Universe, while remaining whole and unchanged in its own dimension. This can surely seem a very bizarre notion, but much less so when you realize it explains all the strange revelations of modern physics while also shedding light on the deepest mysteries of ancient philosophical teachings.

A hyperspherical force polarity, through the interaction of the ring-ray elements, and from the perspective of any one of those elements, provides a Fourier-series source for the wave mechanics of matterenergy in spacetime, while maintaining a underlying level of all possible realities in an unmanifest state. Many will recognize the key significance of this to quantum physics and the way matter and energy seem to behave. This possibility actually makes more sense than having to imagine that there must be an infinite number of parallel universes, for example, in order to account for the quantum wavefunction.

This is basically an interpretation of the Kaluza-Klein model, a classic unified field theory from Einstein's era, forms of which are used in string theory today. It unifies the electromagnetic and gravitational fields by adding a fourth dimension of space at the Planck scale (about 20 orders of magnitude smaller than a proton). The unification is so mathematically beautiful that Einstein was very intrigued, though seemed to not know quite what to think of it at the time. In the Kaluza-Klein model, we are living in a five-dimensional (or more) spacetime in which the fourth dimension of space is confined to tiny Planck-scale spheres, an infinite number of them, filling all of space.

Taking an extra step for this particular interpretation, it is entirely possible that all of those tiny fourth-dimension spheres scattered all over three-dimensional space, are actually different rings on a sphere within that fourth dimension; that is, they could all be rings on the same omnipresent hypersphere.

This would provide a mechanism for the strange effects of both Relativity and quantum physics, including the unifying notion of quantum entanglement, the 'all possible realities' of the wavefunction, and the 'quantum foam' of empty space. It also provides a geometric source for the wave-particle duality and the light-cone of Relativity, as well as the male and female movements of Creation and the polarity of consciousness. Perhaps most interesting, the spherical geometry beautifully represents the metaphysical nature of the Trikaya, the three-bodied unfoldment of Creation from the One Reality, from the central singularity to the radius-rays to the void of unfoldment.

 

The hypersphere itself can be thought of as a ring on a higher-dimensional sphere, which could be a ring on an even higher-dimensional sphere, and so on, all centered on the same Universal Singularity. In the realization of transcendental unity in a hypersphere of infinite possibilities, we are linked immediately to the realization of an infinite series of other sets of infinite possibilities. At the least, a very interesting possibility.

 

And the end of all our exploring
will be to arrive where we started,
and know the place for the first time.

T. S. Eliot

 

 

 

FIRST DAY:  August 1, 1996
as "of Quasars & Quanta"

(from writings begun in 1984)

classic awards page
(from the early days of the Web)

 

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