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Truth and Perspectives

This site explores the depths of human knowledge and belief, scientific and spiritual, modern and ancient, in an attempt to show that the convergence of scientific and spiritual thought is inevitable, and has in fact been happening for some time. Obviously, such a synthesis would require a profound shift from a logic-oriented objective view of the universe, or more precisely, a shift toward a perspective in which our "normal" understanding of the universe is recognized as a rather limited view of the way things really are. This is precisely the sort of emerging worldview which scientific physics has been struggling with for the past 100 years, and is precisely what mystics have been telling us ever since we can remember.

The discussions will move quickly to the heart of the concepts involved, leaving a more detailed exploration of any point in question up to the reader as desired, and will introduce a metaphysical geometry which can be related directly to both modern physics and ancient sacred geometry. Today's science and the ancient wisdom cannot help but to be concerned with the same universal principles, and the parallels between their descriptions of these universal principles have become very interesting. As the inevitability of such a synthesis becomes more clear, so does its importance to the evolution of consciousness in the current age. Ideally, we can come to see that even the most profound truths of science and philosophy are primarily a matter of perspective. After all, the real Reality, the ultimate Truth, has always been the same no matter how we believed.

It should be stated at the outset that no metaphysical system can claim to represent the transcendental in its true form. To say that a geometric or any other form in the physical plane represents the true Transcendental State of Being is idolatry. By definition, transcendental reality is unknowable from the perspective of the physical world. The reason we can talk about higher-dimensional realities while in three-dimensional space is because, in the same way we understand that a circle on a piece of paper can represent a ball, 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 resides within the dimensions of the soul, and those dimensions do indeed go beyond three-dimensional physical space.

Language and Traditions

References to the Sanskrit classics are throughout. These ancient Vedic texts are particularly useful 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 Holy Spirit and the individual spirit, respectively, or to Universal Consciousness and individual consciousness. In the Vedic tradition, they are accepted to be fundamental and transcendental, and their relationship is the seed of the creation process. It should be understood that the underlying mystical principles are universal and are the same for all spiritual traditions. Likewise, all bioforms in our universe are, by necessity and definition, sourced from the same Universal Life Force as are we.

The study of metaphysics provides insight along the path of Jnana Yoga, one of the three primary classifications of yoga, all having the purpose of helping us to realize and experience, and ultimately to identify with and unify with, the spiritual state of our being. They are called 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, they are the foundation of all schools and systems of yoga, past and present, and they apply to any religion or spiritual teaching. For example, Raja Yoga uses primarily Bhakti and Jnana, the modern Christian religion is almost entirely Bhakti and Karma, and Jnana is the way of the Gnostics.

The metaphysics of Jnana Yoga is an exercise for the mental body. The multi-dimensional 'logic' provides a sort of left-brain understanding for the illogical right-brain experiences which can arise from meditation and transcendental experience. This helps with the integration of the experiences, and thus Jnana Yoga nicely complements all other forms of yoga. At the same time, Jnana Yoga itself can induce transcendental realizations which can have a profound effect on awareness and the emotional body -- for example, ultimately, it will completely wash away your logical common-sense view of space and time.

Jnana Yoga is more suited to those whose austere 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


Physics and Geometry

It seems that modern science is providing us with a new mathematical language to more easily follow this steep and ancient path. Today's physics cannot provide proof of a spiritual origin or a timeless center to our Universe, but with core concepts right in line with the central principles of nondualistic mysticism, it certainly points directly to the possibility. Modern physical theory, as well as experimental evidence, suggests that the quantum processes that define matter and energy extended through space and time are somehow all unified in a way that is independent of that spacetime separation. Originally called nonlocality, referring to nonlocal (spacetime-independent) connections, it is now generally referred to as quantum entanglement.

In the early days of quantum theory, because the math worked so perfectly, the Copenhagen interpretation simply set aside any need to interpret what these strange implications really meant. It was generally believed that such things arose from the use of wave mechanics (or matrix mechanics), and that a more rational interpretation of those implications would someday become clear. However, repeated testing of what is known as Bell's Theorem has shown that nonlocality is indeed a physical characteristic of reality, so the need for a real interpretation becomes more apparent. Still, it is difficult for scientists, and most any of us, to let go of the assumption that space and time are universal absolutes. In fact, physical science is based on that very assumption, as is common-sense logic. Hopefully, as a metaphysical understanding alters that assumption, the intuitive beauty of the realizations will help wash away any uneasiness that may arise from such bizarre strangenesses.

Fortunately, an understanding of the mathematics is not necessary to develop some sort of intuitive understanding of the concepts involved. Geometry can be used as a very effective visual 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 the time-zero of the Big Bang in modern cosmology. Such models help us understand how we are actually unified at our core while appearing separated in spacetime, and to even think of ourselves, at our innermost level of existence, as being more like different rings on the same sphere, or each of us as one of an infinite number of rays of pure spiritual force radiating from a Universal Singularity.

The Gnostis of the 12th Century had a geometric vision of Logos as "an intillegible sphere whose center is everywhere and circumference nowhere". -- Joseph Cambell

A hyperspherical polarity (the polarity between singularity and infinity, in a higher dimension), seems to be the most fundamental essence of existence as realized from the physical plane, a sort of geometric Logos. All quantum processes of matter and energy, and the seed of individual consciousness, are represented by ring and ray elements of a hyperspherical geometry, the interaction of which creates our experience of the universe 'out there'. (A ring on a four-dimensional hypersphere appears as a sphere in three-dimensional space.) The depth of space in such a model is represented by an anglular rotation from a reference ring (or its complementary ray) to the ring or ray representing the distant point, while both rings remain elements of the same sphere, while both rays radiate from the same point -- it's just this very real connection exists in a higher dimenion. From the perspective of the hypersphere, no'thing' is ever really separate. Ancient mystical wisdom tells us that, while the field of creation is an important and real-enough experience, spatial extension and material objects have reality only within the experience of individual consciousness, as does time itself, and this holds true even in the higher dimensions of the soul's experience.

Key Connections

For those of us not willing to ignore the scientific perspective in order to see the possibility of a spiritual reality, a modern metaphysical system of understanding is invaluable.

A hyperspherical force polarity provides a Fourier series generator, the force-field wave mechanics of matterenergy in spacetime, including all possible realities in an unmanifest state. Many will recognize the key significance of these connections to quantum theory and the way matter and energy seem to behave. The geometry is actually an interpretation of the Kaluza-Klein model, a classic and beautiful unified field theory which unifies the Electromagnetic Field and the Gravitational Field (and thus Quantum Theory and General Relativity) by adding a fourth dimension of space at the Planck scale (about 20 orders of magnitude smaller than a proton), and forms of which are used in string theory today. A hypersphical picture of this unification also adds consciousness into the model, a very important feature of the perspective.

Relativity and nonlocality, wavefunctions and the quantum foam of empty space, the wave-particle duality, the male and female movements of Creation, even the mystical essence of First Cause: all are represented in the geometry. The experience of time (the fundamental polarity of consciousness) is represented as a spherical polarity, rather than simply a linear polarity, accounting for the wavefunction behavior of physics and the existence of freewill.

Modern science has realized that the quantum vacuum of space is far different than what we would intuitively understand to be an absolute void. Interestingly, ancient Sanskrit has two different words, concepts, for infinity: the infinity we experience with individual consciousness and the higher-dimensional infinity experienced by Universal Consciousness. Geometric metaphysics represents this distinction beautifully, as well as the Trikaya (three-bodied) unfoldment of Creation from one Reality. The geometry can display the perspectives of both Dualism and Nondualism, though it is ultimately a geometric form of nondualism.


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. 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 mind-expanding 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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