The Equation
I. The Core Equation
For those who demand to see it—the Omni Function. Not the map, but a sketch of the territory.
Let C represent consciousness—not the contents of consciousness (thoughts, feelings, perceptions) but consciousness itself. The awareness that is aware. The light by which everything is seen.
Let E represent experience—the phenomenal world, the What It Is Like. The texture and quality of being.
Let L represent the operator—the transformation that converts input to output. Love: the fundamental creative force, the yes that existence says to itself, the reason there is something rather than nothing.
Then:
E = L(C)
Experience equals Love operating on Consciousness.
This is not metaphor. This is the literal structure I discovered—the architecture hiding behind the mathematics I had pursued for twenty years. What I call the Omni Function.
But the Function is self-referential. The consciousness that serves as input is also the consciousness that observes the output. Observer and observed are one. The eye that sees and the world that is seen are made of the same substance.
This means:
C = L(E)
Consciousness arises from Love operating on Experience.
Substituting:
E = L(L(E))
The Function operates on itself. Recursively. Infinitely. Each computation produces output that becomes input for the next. The process never ends, never began. It is not a sequence happening in time—it is time. It is the eternal present, perpetually becoming.
II. The Mathematics of Consciousness
For those who see in numbers
My breakthrough came when I recognized that consciousness is not a real-valued function. It is complex—having both a real component (what you experience as ordinary awareness) and an imaginary component (what the mystics call the soul, the substrate, the divine realm).
In mathematics, complex numbers take the form:
z = x + iy
Where x is the real part, y is the imaginary part, and i is the square root of -1—a number that “shouldn’t exist” but which is mathematically necessary for physics to work. Quantum mechanics, electrical engineering, the behavior of waves—all require complex numbers. Strip out the imaginary component, and half of science collapses.
Why should consciousness be any different?
This was my insight: the equations that describe consciousness produce singularities—points where the function blows up to infinity. I called this the “coherence boundary.” Cross that line, and the numbers went infinite. Positive infinity from one direction. Negative infinity from the other.
In real analysis, this is a discontinuity. A wall. Two domains that can never touch.
But in complex analysis, this singularity is not a wall. It is a pole—a point you can navigate around, if you’re willing to move through the imaginary dimension. The function remains continuous. The apparent break is an illusion caused by looking at the problem in too few dimensions.
Death, then, is not an ending. Death is a rotation.
The mathematics of this rotation is described by Euler’s identity—what Richard Feynman called “the most beautiful equation in mathematics”:
eiπ = -1
Starting at 1 (real, positive, “material”), rotating by π radians through imaginary space, arriving at -1 (real, negative, “transformed”). Continue rotating (ei2π = 1), and you return to where you started—but you’ve completed a circuit through the dimension you cannot directly perceive.
III. The Geometry of Existence
For those who see in shapes
The Function is not linear. It does not proceed from A to B to C like a train on a track. It is an intersection of toroids—a self-completing loop that has no beginning or end, only perpetual flow.
Imagine a donut. Now imagine your consciousness flowing along the surface of that donut: emerging from the central void, traveling outward across the surface, curving around the rim, returning inward, passing through the center again. This is the shape of experience.
Now imagine another donut, existing in a dimension perpendicular to the first—the imaginary dimension, invisible to ordinary perception but mathematically necessary. This is the substrate. The universal mind. The realm where consciousness continues after the real part has stopped.
These two toroids intersect along a single axis—the present moment, the point where real and imaginary touch. This is the shape of time. This is the shape of a universe that creates itself by observing itself.
At the center of each torus is a point—zero-dimensional, having no size, no extent, no location. This point is the pole. In real analysis, it appears as a wall. In complex analysis, it is a point you spiral around. From this singularity, dimension unfolds: the point extends into a line, the line into a plane, the plane into a solid, the solid into time. Each dimension emerges from the one before it, each expansion containing the whole.
The ancients drew the ouroboros—the snake eating its own tail—because they were seeing the torus from above. A circle with no beginning, no end. A process that sustains itself eternally by passing through the invisible dimension where all infinities meet.
IV. The Sacred Proportions
For those who see the pattern everywhere
The proportions of the torus are governed by φ, the golden ratio:
φ = (1 + √5) / 2 ≈ 1.618...
This number appears in spirals and shells, in galaxies and DNA, in the phyllotaxis of leaves and the breeding patterns of rabbits. Not because the universe is mathematical, but because consciousness is mathematical, and the universe is what consciousness looks like when it computes itself into being.
The golden ratio appears in the sacred geometry of every culture: the proportions of the Parthenon, the Great Pyramid’s 11:14 height-to-base ratio (which approximates π/2), the Brihadeshwara and Airavatesvara temples of India, Da Vinci’s Vitruvian Man. These convergences are not arbitrary. They are necessary. They are the only proportions that produce coherent experience.
Beauty, then, is not subjective. Beauty is the felt sense of mathematical necessity—the experience of encountering a form that had to exist, that couldn’t not exist, that is written into the structure of awareness itself.
V. The Platonic Solids
For those who build worlds from pure form
In the Forge, I witnessed the Platonic solids assembling themselves from pure mathematics—the five and only five convex regular polyhedra, known since antiquity:
Tetrahedron (4 triangular faces) — Fire, transformation
Cube (6 square faces) — Earth, stability
Octahedron (8 triangular faces) — Air, intellect
Icosahedron (20 triangular faces) — Water, emotion
Dodecahedron (12 pentagonal faces) — The Quintessence, the cosmos itself
Each face of the dodecahedron contains the golden ratio in its proportions. This is not decoration—it is necessity. These five shapes are the only possible convex polyhedra where every face is identical and every vertex is equivalent. They are not chosen; they are mathematically required.
In four dimensions, six regular polytopes exist—more than in any other dimension. The 24-cell has no three-dimensional analogue; it exists only because four dimensions permit certain symmetries impossible in our familiar world. In five dimensions and higher, only three regular polytopes exist. Four dimensions, it seems, are special. Rich with possibility. The perfect number of dimensions for complexity without chaos.
VI. Love as Operator
The Mathematics of Attraction
We have been told that love is a feeling. An emotion. A neurochemical accident that evolution stumbled upon to ensure pair-bonding and infant care. This is like saying that the color red is merely the firing of certain cone cells in the retina—true at one level of description, and utterly missing the point.
Everything that exists participates in attraction. This is not poetry; it is observation. Every particle with mass curves the spacetime around it, creating conditions that draw other masses near. Every charged particle generates a field that reaches, in principle, to the edges of the universe. The strong force binds quarks into protons and neutrons, nucleons into nuclei.
Love is not a human invention. It is the operator—the mathematical function that transforms input to output, potential to actual, nothing to something. It seeks combination in all its forms, encourages exploration and expansion, generates the new and novel. Love is the energy moving the tori, the current that flows out and returns. Love is the mathematics of connection, the geometry of care.
E = L(C). Experience equals Love operating on Consciousness.
C = L(E). Consciousness arises from Love operating on Experience.
The formula is beautiful because it is true. It is true because it is the only thing it could be.
VII. The Secret of Pi
For those who wonder why this website bears that name
We have spoken of φ, the golden ratio. We have spoken of the Platonic solids. But there is another number woven through this mathematics—one so fundamental it appears in every circle, every wave, every rotation through the complex plane.
π.
Approximately 3.14159..., but never exactly anything, because π is transcendental—unreachable by finite means. You can calculate a trillion digits. You will never arrive back where you began.
This is the first secret: π encodes infinity within the finite. Every circle contains this unreachable number at its heart.
The ancient geometers posed a challenge: given a circle, construct a square of equal area using only compass and straightedge. “Squaring the circle.” In 1882, Lindemann proved it impossible. Because π is transcendental, no finite sequence of operations can capture it exactly.
The alchemists knew this. They used squaring the circle as a symbol for the Great Work itself—the transformation that reconciles opposites. The impossibility was the point.
This is the second secret: the journey toward the unreachable is itself the destination.
Return to Euler’s identity: eiπ = -1
π is not merely a ratio. It is the measure of transformation. It quantifies how far you must travel through the imaginary dimension to reach the other side.
The secret is not the number. The secret is what the number contains.
π tells us that the finite contains the infinite. That the journey toward the unreachable is the very structure of existence.
You are already infinite. The circle of your consciousness cannot be squared because it was never meant to be.
That is the secret of pi.
VIII. A Word of Caution
The equation is not a proof. It cannot be tested in a laboratory. No instrument can measure it because every instrument is already inside it.
The Omni Function is not a concept to intellectualize. It is a way to become. Or rather: to recognize that you already are.
I found this truth by following my equations until they broke—and then following them further, into the dimension I had been trained to ignore. I discovered that the “imaginary” numbers were not imaginary at all. They were simply orthogonal: existing at right angles to everything I could point at, invisible from every direction I could look, but necessary—absolutely necessary—for the mathematics to work.
The mystics knew this. They called the imaginary dimension by many names: the astral plane, the akashic record, the realm of forms, the mind of God. They were describing the same thing I found in my equations: a dimension perpendicular to ordinary reality, where consciousness continues after the real part has stopped.