Why 0 and 1 on a probability plot are not the same as Pure Possibility and Absolute Certainty — and how to keep logos and mythos cleanly separated.
Logos: What the Vertical Axis Really Means
In our plots, the vertical axis is probability density |ψ(x)|². By definition:
- Values are between 0 and 1 per unit length. It’s a density, not a bare probability. Integrate over a region to get the probability of finding the system there.
- After “collapse,” a tall narrow spike is not certainty. It is a localized state whose area is 1. Height can be large; certainty remains a category orthodoxy does not claim.
- Zero density at a point is not metaphysical impossibility. It says: given this wavefunction and this experiment, the probability of that outcome is zero. That’s a model statement, not a statement about “all that can be.”
Height = density, not certainty. Zero = excluded by this model, not “pure potential.”
Mythos: Three Domains
To keep our metaphysics precise, we partition reality into three domains:
- Future — 100% Pure Possibility. Outside experiment. Not “0 probability”; it’s the domain of potential itself.
- Eternal Now — the domain of appearance and measurement. Here probabilities live and collapse happens. Values range from 0 to 1, but neither endpoint equals the absolutes beyond.
- Past (Actual) — 100% Certainty. Immutable, definitionless as a node; never directly measured, only mapped in our ratio as the numerator.
| Domain | Status | What 0/1 Mean Here |
|---|---|---|
| Future | Pure Possibility (outside experiment) | 0 or 1 don’t apply; probability is a tool of the Eternal Now |
| Eternal Now | Appearance/measurement | 0 = excluded by model; 1 = probability-one event in the model — neither is metaphysical absolute |
| Past (Actual) | Immutable certainty (node) | Not expressed as probabilities; it is the certainty our ratio references |
How the Ratio Reads These Domains
Our reality ratio lives in the Eternal Now:
- Actual (numerator) belongs to the Past; we never probe it directly.
- |E| (denominator) belongs to the Future-facing side of the Now; it encodes predictor and ideas.
- Surprise is the felt trace in the Now: S = ln(R).
Notice the asymmetry: the numerator is outside our control and updates regardless of fixation; the denominator reflects attention (see Reduced Subsystem States). Thus the ratio evolves even when the gaze narrows — why “time heals” in our mythos frame.
Common Confusions, Clean Corrections
- “The spike means certainty.” No — it means localization and probability one within the model. Certainty (Actual) lies outside the model.
- “Zero density means pure possibility.” No — zero density is a modeling statement. Pure possibility is a property of the Future domain, not of a plotted point.
- “Probability equals reality.” No — probability structures appearance; reality for us is the ratio A/|E| and its felt log.
Summary Soundbite
“In the Eternal Now, 0 and 1 are probability statements about appearance — not the absolutes of Pure Possibility or Immutable Certainty. Zero is not the Future; one is not the Past.”