# Core Variables
UCID operationalizes human-scale information dynamics through **six core variables**, adapted from the principles of Information Dynamics (ID). These variables bridge cosmic-scale phenomena (e.g., gravity, time) with human experiences (e.g., legacy, ethics). Below is a detailed breakdown:
## **1. Existence (X)**
**Definition**:
A binary condition indicating whether information **impacts legacy or decisions**.
\[
X_{\text{user}} = \begin{cases}
1 & \text{if the information is meaningful and legacy-defining}, \\
0 & \text{otherwise}.
\end{cases}
\]
**Cosmic Analogy**:
In ID, galaxies exist (\(X=1\)) because their gravitational clumping (\(\rho_{\text{info}} \cdot \kappa \geq 1\)) exceeds thresholds.
**Human Context**:
- A career pivot (\(X=1\)) shapes your legacy.
- A fleeting thought (\(X=0\)) does not.
**Example**:
A scientist’s published paper (\(X=1\)) contributes to their legacy, while a discarded coffee stain (\(X=0\)) does not.
## **2. Information (\(\mathbf{I}\))**
**Definition**:
A vector encoding measurable properties of your life.
UCID organizes information into four nested layers, each with distinct mathematical properties:
1. **Universal Information ($\mathbf{I}$)**: The irreducible substrate of all knowledge, analogous to a statistical population. While $\mathbf{I}$ cannot be directly observed, it encompasses all possible states (e.g., thoughts, skills, decisions).
2. **Constructed Axes ($\hat{\mathbf{I}}^\alpha$)**: Abstract models derived from $\mathbf{I}$ to interpret specific domains. Examples include career goals ($\hat{\mathbf{I}}^{\text{career}}$) or emotional states ($\hat{\mathbf{I}}^{\text{emotion}}$). These constructs function like coordinate systems in physics but are scoped to human contexts.
3. **Measurable Axes ($\mathbf{i}^\beta$)**: Numeric or categorical dimensions quantifying $\hat{\mathbf{I}}^\alpha$. For instance, job applications ($\mathbf{i}^{\text{applied\_job}}$) or mood scores ($\mathbf{i}^{\text{mood\_score}}$).
4. **Observations ($\hat{\mathbf{i}}^\beta_j$)**: Recorded values along measurable axes (e.g., $\hat{\mathbf{i}}^{\text{mood\_score}}_{t=2023-11-01} = 7$).
---
## **3. Contrast (\(\kappa\))**
**Definition**:
Measures **meaningful differences** in priorities or states.
\[
\kappa_{\text{user}} = \frac{\text{Difference in Goals}}{\epsilon_{\text{user}}}.
\]
**Cosmic Analogy**:
Galaxies form when \(\kappa_{\text{gravity}} = \frac{\text{Distance Between States}}{\epsilon_{\text{cosmic}}} \geq 1\).
**Human Context**:
- A career shift (\(\kappa_{\text{user}} \geq 1\)) contrasts sharply with trivial actions.
- \(\epsilon_{\text{user}}\) adjusts how granularly you perceive differences (e.g., encrypting emotions vs. sharing raw data).
**Example**:
A teacher’s pivot from traditional to project-based learning yields \(\kappa_{\text{user}} = 1.2\), marking a meaningful change.
---
## **4. Sequence (\(\tau\))**
**Definition**:
An **ordered progression of decisions or experiences**, forming your legacy.
\[
\tau_{\text{user}} = \left( \mathbf{I}_1, \mathbf{I}*2, \dots \right).
\]
**Cosmic Analogy**:
The cosmic \(\tau*{\text{cosmic}}\) tracks galaxy formation over time.
**Human Context**:
- A decade of job applications (\(\tau_{\text{user}}\)) reveals patterns (e.g., consistent ethical choices).
- Preserved as an **edge network**, \(\tau_{\text{user}}\) outlives platforms.
**Example**:
A climate activist’s \(\tau_{\text{user}}\) (protests → policy advocacy → founding a nonprofit) becomes a knowledge clump for future generations.
---
## **5. Resolution (\(\epsilon\))**
**Definition**:
Controls **data granularity**, balancing privacy and utility.
\[
\epsilon_{\text{user}} \in [0, 1] \quad \text{(0 = raw data, 1 = anonymized trends)}.
\]
**Cosmic Analogy**:
Planck-scale \(\epsilon_{\text{Planck}}\) defines what is physically perceivable.
**Human Context**:
- **High \(\epsilon\)**: Anonymized summaries (e.g., “My carbon footprint decreased by 20%”).
- **Low \(\epsilon\)**: Raw data (e.g., encrypted voice recordings).
- **Privacy Tool**: Federated learning ensures sensitive \(\mathbf{I}\) remains on-device.
**Example**:
A doctor might set \(\epsilon_{\text{user}} = 0.3\) to share anonymized patient trends while encrypting personal notes.
---
## **6. Repetition (\(\rho\))**
**Definition**:
Quantifies **consistency in actions**, rewarding habits over one-offs.
\[
\rho_{\text{user}} = \frac{\text{Number of repeated actions}}{\text{Total actions}}.
\]
**Cosmic Analogy**:
Star formation cycles (\(\rho_{\text{cosmic}}\)) drive galaxy evolution.
**Human Context**:
- A developer who codes daily has \(\rho_{\text{code}} = 0.9\).
- \(\rho\) identifies growth patterns (e.g., “I meditate 80% of days”).
**Example**:
A farmer’s consistent use of sustainable practices (\(\rho_{\text{sustainable}} = 0.8\)) builds trust in their legacy.
---
## **7. Mimicry (\(M\))**
**Definition**:
Alignment of **decisions with ethical or creative goals**, derived from \(\tau_{\text{user}}\) analysis.
\[
M_{\text{user}} = \frac{\text{Similarity between choices and goals}}{\kappa_{\text{max}}}.
\]
**Cosmic Analogy**:
Quantum mimicry (entanglement) in ID.
**Human Context**:
- High \(M\) (e.g., \(M_{\text{AI ethics}} = 0.9\)) means actions closely mirror values.
- Tools like Pebble analyze \(\tau_{\text{user}}\) to flag misalignment.
**Example**:
An AI developer’s code mimicking sustainability guidelines (\(M_{\text{user}} = 0.85\)) signals ethical alignment.
---
## **Interactions In the Strange Loop**
These variables form a **reciprocal system**:
1. **Micro → Macro**:
- Your \(\tau_{\text{user}}\) (e.g., career shifts) aggregates into societal \(\rho_{\text{info}} \cdot \kappa\) (e.g., industry trends).
2. **Macro → Micro**:
- Societal patterns (e.g., climate policies) reshape your \(\tau_{\text{user}}\), closing the loop.
---
## **Why These Variables Matter**
| **Variable** | **Purpose** | **Human Impact** |
|--------------|-------------|------------------|
| \(X\) | Filters what matters | Ensures legacies exclude noise |
| \(\mathbf{I}\) | Captures your life’s data | Enables edge networks for preservation |
| \(\kappa\) | Identifies meaningful shifts | Prioritizes growth over inertia |
| \(\tau\) | Tracks decision histories | Reveals causal patterns (e.g., “My anxiety caused this career delay”) |
| \(\epsilon\) | Balances privacy and utility | Protects sovereignty while enabling societal clumping |
| \(\rho\) | Measures habit consistency | Drives ethical or creative momentum |
| \(M\) | Aligns actions with values | Ensures AI and choices reflect your ethics |
---
## **Example: The Climate Activist’s Journey**
1. **\(X_{\text{user}} = 1\)**: Their career pivot to sustainability is legacy-defining.
2. **\(\mathbf{I}_{\text{user}}\)**: Includes protest notes, policy drafts, and mood data.
3. **\(\kappa_{\text{user}} = 1.5\)**: Their shift from activism to policy work is significant.
4. **\(\tau_{\text{user}}\)**: Tracks their decade-long journey from student to advocate.
5. **\(\epsilon_{\text{user}} = 0.6\)**: Shares anonymized trends while encrypting raw notes.
6. **\(\rho_{\text{user}} = 0.8\)**: Consistently prioritizes ethical choices.
7. **\(M_{\text{user}} = 0.9\)**: Their actions mimic sustainability goals.
**Result**:
- **Legacy**: Their \(\tau_{\text{user}}\) becomes a global edge network.
- **Feedback Loop**: Their work aggregates into societal \(\rho_{\text{info}} \cdot \kappa\), reshaping policies that then inspire new \(\tau_{\text{user}}\).
---
## **Key Takeaways**
- **User-Centric Design**: Variables like \(\epsilon\) and \(X\) put control in your hands.
- **Legacy as a Sequence**: \(\tau_{\text{user}}\) turns scattered data into a narrative.
- **Ethics and Growth**: \(M\), \(\rho\), and \(\kappa\) quantify alignment with values.
These variables collectively enable UCID’s framework to model how **your choices ripple into societal patterns** and vice versa—without overreaching into physics. The next step is to formalize their mathematical relationships, starting with the **Human Potential Equation**:
\[
\text{Human Potential} = \frac{M_{\text{user}} \cdot \lambda_{\text{user}} \cdot \rho_{\text{user}}}{\epsilon_{\text{user}}}.
\]
This equation guides developers to build systems that empower individuals to **live their best lives and leave legacies worth preserving**.