SPEC Formalism: Entity, Reduced-State Specification, and the Reality Quotient

A compact, orthodox statement of the math we use in Reality = Actual / Expectation, with explicit indexing by entity and reduced-state specification.

1) Core Objects (Right-Hand, Unconscious)

Entity X (aperture); SPEC Σ (reduced-state specification). The reduced state for X under Σ is

rho_X(Sigma) definition

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
R and S

Indexing rule. There is no context-free C. Whenever you see a number like “5.29 at 80°”, read it formally as C_X(Sigma) for a specific X and Σ. In a single quotient, A,P,C must share indices must share the same X,Sigma.

2) Left-Hand (Conscious)

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

3) Proposition — Reality Is Received, Not Created

For fixed X,Sigma, Reality is a function of a sample and a reduced state:

R as function of A and rho

Since no conscious variable appears in F, Reality is not created or co-created by consciousness. Actual is never substituted; Expectation is computed, not chosen.

4) Two-Bit Event Taxonomy (Unconscious)

Let the first bit indicate an Entity switch (X), the second a SPEC switch (Σ):

BitsMapWhat ChangesFelt Signature
00 — same entity, same SPECrho to rhoSlow drift (memory-dominated). Rare coherence snaps can still jump C.Continuity; trends/plateaus in S.
01 — same entity, new SPECspec swapImmediate new P,C.“Same self, different conditioning”; instant recontextualization.
10 — new entity, same SPECentity swapEverything recomputes at Y: A,P,C at Y.Boundary expansion (“we/us”) without changing conditioning.
11 — new entity, new SPECboth swapAperture and conditioning switch together.Largest discontinuity in meaning; S “replots.”

Order matters: deck-then-spec generally differs from spec-then-deck; i.e., .

5) From Classroom Numbers to Formal Indices

When we computed “5.29 at 80°” by tip-to-tail, we implicitly fixed an X and a Σ. Formally, that’s

C and phi indexed

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

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 (SPEC 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,Sigma.

7) Minimal Reminders

  • Whole is mentioned once; we work with rho_X(Sigma) only.
  • P and C are defined functionals of rho; we don’t 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 Σ 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.

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Discover more from John Rector

Subscribe now to keep reading and get access to the full archive.

Continue reading