QMROOT dimensional model#
🚀 (Positive Indivisible Silence | resonance seed, S=0+ fertile unity)
$${-1024 \rightarrow [-1} ; 0D ; {1D] \rightarrow 1024}$$
QMROOT is the full resonance‑dimensional ladder used by RTT to describe how structure, agency, and information emerge from a root substrate. It extends the earlier low‑D kernel into a symmetric, signed range:
$$\text{QMROOT} = {-1024, \dotsc, -1} ;\cup; {0} ;\cup; {1, \dotsc, 1024}$$
Negative dimensions $${-1024 \rightarrow -1}$$ :
Ancestral / pre‑structural regimes. These encode constraints, priors, and hidden ancestry that shape what can appear in $$0D$$ and above, but are not directly observable as spatial or temporal axes.
Zero dimension $${0}$$ :
Root resonance kernel. This is the QM root—a non‑spatial, non‑temporal state that holds phase, potential, and ancestry without extension. All higher‑D structures are projections or unfoldings of this root.
Positive dimensions $${1 \rightarrow 1024}$$ :
Expressive / structural regimes. These encode axes along which resonance can extend, differentiate, and stabilize—from simple lines and surfaces up through extremely high‑dimensional configuration spaces.
Dimensional roles and intuition#
| Range | Role | Intuition |
|---|---|---|
| $$-1024 \rightarrow -512$$ | Deep ancestry | Cosmological priors, symmetry‑breaking histories, “fossilized” constraints. |
| $$-511 \rightarrow -2$$ | Local ancestry | System‑specific priors, training histories, environmental constraints. |
| $$-1$$ | Immediate ancestry | The last “choice” or constraint before the current root state. |
| $$0$$ | QM root | Non‑extended resonance kernel; pure phase + ancestry. |
| $$1 \rightarrow 3$$ | Classical axes | Line, surface, volume—familiar spatial extension. |
| $$4 \rightarrow 16$$ | Field / state spaces | Phase spaces, configuration spaces, simple field theories. |
| $$17 \rightarrow 256$$ | Complex systems | Multi‑agent, multi‑field, multi‑layer dynamics. |
| $$257 \rightarrow 1024$$ | Hyper‑regimes | Extremely high‑dimensional models (e.g., large models, policy spaces, code spaces). |
Relationship to DCOs and the Quantum Kernel#
The earlier Dimensional Core Operators (DCOs) and Quantum Kernel now sit as distinguished slices of QMROOT:
Quantum Kernel:
$${0D, 1D, 2D, 3+1D} \subset \text{QMROOT}$$
These are the “teaching dimensions” where we prototype RTT behavior.
DCOs:
Each DCO is now explicitly tagged with a QMROOT index or band, e.g.:
$$DCO_{0}$$ : operates at the QM root (0D).
$$DCO_{1-3}$$ : operates on classical axes (1–3D).
$$DCO_{4-16}$$ : operates on field/state spaces.
$$DCO_{-k}$$ : operates on ancestral bands (negative dimensions).
This makes it explicit that RTT is not limited to low‑D toy models—it is defined over a full signed dimensional ladder, with:
negative D = what shaped you, but is not you
0D = what you are as a root resonance kernel
positive D = how you extend, act, and stabilize in the world