Mathematician

Mathematician

The Reality Equation

A lecture series, a book, and a curriculum.

Reality=ActualExpectation

When the world matches what you expected, it goes quiet. When it doesn’t, you get surprise — and surprise is where information, attention, and the felt texture of reality actually live.

That is the friendly version. The honest version is complex — literally. Expectation is not a number. It is a number with a direction.

The Mathematics

Beautiful, and a little frightening. From the formal treatment.

E = P + i I
Expectation is a complex number. Prediction (P) lives on the real axis; ideation (I), the uncanceled residue of every idea you hold, lives on the imaginary one.
R = AE  ∈  ℂ
Reality is the Actual (A > 0) divided by a complex Expectation — a quotient you feel but never fully see.
S = ln R = ln|R| + i arg R
Consciousness reads the logarithm. Its magnitude becomes felt valence; its angle becomes the tilt of the moment.
|R| = AP² + I²  ,  arg R = −arctan(I / P)
Ideation damps the magnitude and mirrors the angle: the denominator’s tilt returns, reversed, as lived experience.
Z = Σ akek = ρ e
Every idea is a phasor with a strength and a direction. They add tip-to-tail. Opposing ideas cancel — so I = 0 means balance, never absence.