Information Physics: Theory Punch Card
July 26th, 2025A reference summary of the theory, core mathematics, mechanisms, and implications.
🧩 Information Physics: The Why
A general theory that describes how conscious beings embedded in entropy reduce or increase it through observer-dependent operations on information, coordination, and system boundaries. All meaningful transformation reduces to one of three operations: MOVE, JOIN, or SEPARATE — applied to humans, information, or structural boundaries.
Observer-Dependent Mathematics Lineage: Einstein realized physics depends on reference frame. Nash discovered strategies depend on what others do. Information Physics applies observer-dependent mathematics to human systems where lived experience shapes what can be measured.
Core Insight: Information Physics proposes that humans may have evolved as entropy-competent beings who consciously choose whether to increase or decrease system entropy through systematic information organization.
🧮 Entropic Mathematics: The What
Primary Equation: System Entropy Change
SEC = O × V / (1 + E)
- O = Operations count (MOVE, JOIN, SEPARATE)
- V = Shared conscious intent (−1 to +1)
- E = Entropy at observer’s position (0 to ∞)
- SEC = Directional change in system entropy from agent’s position
Key Innovation: Extends established mathematical tools (Shannon entropy, vector calculus, information theory) to make observer position, conscious intent, and lived experience fundamental calculation variables rather than complications to eliminate.
🔄 Conservation of Boundaries: The How
A foundational law stating that all system transformation—whether entropy-increasing or entropy-reducing—occurs through one of three irreducible operations applied to existing boundaries within a system, whether between people, information, roles, or structures:
- MOVE: Shift boundaries to new positions or contexts while preserving their essential structure
- JOIN: Combine previously separate boundaries into unified wholes
- SEPARATE: Divide unified boundaries into distinct parts
No fourth operation has been observed. All meaningful change decomposes to one or more of these primitives.
📐 Supporting Equations
Entropic Gap
EG = 1 - S(anchor, current)
- Measures drift between original and current system state
- S() = Cosine similarity
- Thresholds:
- < 0.10 = stable
- 0.10–0.25 = concerning
- 0.25–0.45 = dangerous
- 0.45 = critical (triggers vector inversion)
Entropic Equilibrium
Σ(SEC_i × W_i) → stable state
- Multi-agent system stabilizes when all agents reach local entropy minima
- W_i = weight/influence of each actor
- Proposes a reframing of Nash Equilibrium as entropic exhaustion: actors converging through optimal actions within thermodynamic constraints from embedded positions
🎯 Key Examples
Cultural Drift (“Rizz”)
- EG used to model adoption and rejection timelines
- Demonstrated mathematical predictability of semantic decay and backlash
Frustration Coalitions
- Emergent organizational clusters form around shared entropy burdens
- Validated in corporate strategy contexts (e.g. Slack Research, B2B SaaS dynamics)
Developer Experience Audits
- Developer friction modeled as entropy hotspots
- Enabled systematic reduction through SEC-based operations
Civilizational Convergence
- Independent societies developed identical structures (calendars, writing, currency)
- Explained as solutions to shared entropy crises (e.g., Dunbar’s number)
Evolutionary Validation
- Fossil record shows specialist species consistently died during mass extinctions while generalists survived
- SEC formula predicts survival: specialists (SEC = 0.56) vs generalists (SEC = 2.0) with 4x adaptive capacity difference
Maximum Security Environments
- Artificial entropy used to suppress optimization
- Information flow reduction identified as a control strategy
🏛️ Structural Properties
- Recursive: Understanding reduces E and increases viable operations
- Scale-Invariant: Equations apply from individual to civilization
- Vector-Preserving: Directional intent encoded in all systemic change
- Observer-Dependent: All measurements relative to agent’s position in entropy field
- Physically Grounded: Based on thermodynamic and information-theoretic constraints
🗂️ Field Classification
Mathematics
Entropic Mathematics (vectorized, observer-dependent, recursive)
Physics
Information Physics (applies thermodynamic entropy to conscious systems)
Theory Type
General theory of entropy navigation in embedded systems
Scientific Anchors
- Shannon entropy
- Landauer’s principle
- Relativity (observer effects)
- Quantum measurement theory
- Complexity & network dynamics
🚀 Implications
- Proposes reframing coordination, collapse, innovation, and agency as entropy-navigation outcomes
- Models why civilizations converge, organizations stagnate, and users resist change
- Provides predictive, testable tools for evaluating systemic health and transformation readiness
- May establish a new foundation for studying embedded intelligence, AI alignment, and governance systems