Orthodox formulation of Reality = Actual / Expectation, indexed by entity and reduced (density) state. “State” replaces prior “SPEC” terminology.
1) Core Objects (Right-Hand, Unconscious)
Entity X (the chosen subsystem/aperture). The global (Everett) state is . The reduced (density) state of
X, optionally conditioned on a classical label s (preparation/outcome/context), is
We work operationally with a single symbol to mean “the reduced (possibly conditional) state we’re using for
X.”
Predictor and Idea-coherence are functionals of :
Expectation (complex), its magnitude, and the one-dimensional Reality:
Indexing rule. There is no context-free . A classroom number like “5.29 at 80°” is formally
for a particular
X and reduced state s. In a single quotient, must share the same
.

2) Left-Hand (Conscious)
The witness receives the scalar and feels
. Any “telescope stance” (hands-off/on) lives here. There is no direct modification of
by will.
3) Proposition — Reality Is Received, Not Created
For fixed , Reality is a function of a sample and a reduced state:
No conscious variable appears in ; Actual is never substituted; Expectation is computed from the (reduced) state. Reality is therefore received rather than created or co-created by consciousness.
4) Two-Bit Event Taxonomy (Unconscious)
Let the first bit indicate an entity switch (X), the second a reduced-state switch (s):

Order matters: entity-then-state generally differs from state-then-entity; i.e., .
5) From Classroom Numbers to Formal Indices
When we computed “5.29 at 80°” by tip-to-tail addition, we had already fixed an entity X and a reduced state s. Formally,
Change either index and the phasor sum (hence ) changes. There is no bare
detached from
.
6) Conscious Stance (Probabilistic Levers, Not Control)
Left-hand choices can raise the probability that a new is presented—never guaranteeing it:
- Toward 01 (state swap): place/role/time cues.
- Toward 10 (entity swap): collective ritual, joint attention, symbolic boundary.
- Within 00 (game change at fixed indices): entrainment, constraint swap, salience purge (can spike
or reset predictor).
Substitution ban. No numerator substitution and no index mixing. In every quotient, must share the same
.
7) Minimal Reminders
- The whole
is mentioned once; we work with
only.
and
are defined functionals of
; we do not identify them with specific quantum observables.
- Reality is a radius:
; the felt readout is
.
All equations rendered as white SVG for dark mode. Indices are restored whenever X or s change.
