Plotting the Eternal Now
Start with the graph of y = 1/x. It exists in Quadrants I and III, curving infinitely toward both axes but never touching them. This simple hyperbolic curve holds profound metaphysical weight. It is the shape of the eternal now—the thickened surface where experience unfolds.
But this line is not infinitesimally thin. We must give it thickness—enough to be painted. On one side of this thick line, we spray paint the event horizon, the patterned interface of the immutable past. On the other side, we label the future, which includes the unknowable, the conditioned, and the predictive. What we call “reality” takes place inside this thickness, between the past and future, within this warped boundary layer.
Where x = 1, y = 1
Now place yourself at the point x = 1, y = 1. This is the closest point on the curve to the origin, the only place where your perspective is balanced and square. From here, you are looking directly at the event horizon—at the pattern of actual. What do you see?
You see the pattern exactly as it is. The pattern in the numerator (actual) and the pattern in the denominator (expectation) are identical. There is no distortion. Reality = Actual / Expectation = 1/1 = 1. You are experiencing actuality itself.
And so:
- How much hidden information? Zero.
- How much uncertainty? Zero.
- How many possible microstates? One.
- How much resolved identity? All of it.
- How much entropy? None.
You would say: “She is exactly as expected.” That’s the meaning of He loves her. The unconditioned flow from the future provides the exact proportion, timing, and form of what she needs.
Skewing the Denominator
Now move along the curve. Let’s say you’re no longer at x = 1. You’re higher or lower—maybe x = 0.5, y = 2, or x = 2, y = 0.5. Wherever you are, draw a straight line from your position on the curve back to the origin. The angle changes.
You are still seeing the same pattern. The event horizon hasn’t changed. But now, because of your angle, you see it skewed. It appears distorted. You are no longer looking at actual dead-on. And so your expectation—your denominator—is now different from actual.
This is what we mean by hidden information. The information is not lost. It’s there. But your orientation prevents you from seeing it clearly.
The Source of Skew: Prediction and Idea
Your location on the curve is determined by your denominator: expectation. And that expectation has two degrees of freedom:
- Prediction (real): your subconscious guess about what will happen next.
- Idea (imaginary): your imaginative conception of what could happen.
When either of these changes—when you wobble your subconscious or engage a new idea—you rotate your perspective. And like looking at a square sheet of paper from an angle, the pattern distorts. It looks different—not because it is different, but because your expectation is misaligned. That’s what creates entropy.
Entropy and Angle
Entropy, then, is not a property of the pattern. It is a property of perspective. The further you are from x = 1, y = 1, the more hidden information you encounter. It’s as if the sheet of paper is being rotated toward edge-on. The more it turns, the less you see. But the pattern is still there. The hidden information was not erased. It is simply out of view.
And so:
- Small angle = low entropy (nearly full visibility).
- Large angle = high entropy (severely hidden structure).
This is why entropy increases when prediction and idea vary wildly—it’s not that the world is disordered, but that your ability to resolve it from your current point on the curve is limited.
We Never See Actuality
We live in the eternal now. We never see the past directly. We never see the future directly. We only experience the ratio. If your denominator never varied—if you were always at x = 1, y = 1—you would experience actuality directly. But then, you wouldn’t experience at all. There would be no sensation of discovery. No newness. No movement. Reality would be resolved, but inert.
Experience, as it turns out, requires some degree of hiddenness. That’s what makes it yours.