Entity, Reduced State, and the Reality Quotient

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 Psi. The reduced (density) state of X, optionally conditioned on a classical label s (preparation/outcome/context), is

rho_X(s) definition

We work operationally with a single symbol rho_X(s) to mean “the reduced (possibly conditional) state we’re using for X.”

Predictor and Idea-coherence are functionals of rho:

P and C

Expectation (complex), its magnitude, and the one-dimensional Reality:

E magnitude
R and S

Indexing rule. There is no context-free C. A classroom number like “5.29 at 80°” is formally C_X(s) for a particular X and reduced state s. In a single quotient, A,P,C share indices must share the same (X,s).

2) Left-Hand (Conscious)

The witness receives the scalar R and feels S. Any “telescope stance” (hands-off/on) lives here. There is no direct modification of A or rho by will.

3) Proposition — Reality Is Received, Not Created

For fixed (X,s), Reality is a function of a sample and a reduced state:

R as F(A,rho)

No conscious variable appears in F; 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,

C and phi indexed

Change either index and the phasor sum (hence C) changes. There is no bare C alone detached from (X,s).

6) Conscious Stance (Probabilistic Levers, Not Control)

Left-hand choices can raise the probability that a new rho is presented 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 C or reset predictor).

Substitution ban. No numerator substitution and no index mixing. In every quotient, A,P,C indices must share the same (X,s).

7) Minimal Reminders

  • The whole Psi is mentioned once; we work with rho_X(s) only.
  • P and C are defined functionals of rho; we do not identify them with specific quantum observables.
  • Reality is a radius: R; the felt readout is S.

All equations rendered as white SVG for dark mode. Indices are restored whenever X or s change.

Author: John Rector

John Rector is the co-founder of E2open, acquired in May 2025 for $2.1 billion. Building on that success, he co-founded Charleston AI (ai-chs.com), an organization dedicated to helping individuals and businesses in the Charleston, South Carolina area understand and apply artificial intelligence. Through Charleston AI, John offers education programs, professional services, and systems integration designed to make AI practical, accessible, and transformative. Living in Charleston, he is committed to strengthening his local community while shaping how AI impacts the future of education, work, and everyday life.

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