PART II: THE TEMPORAL VALUE CLASSIFICATION SYSTEM

2.1 Foundational Principle

Value = f(what, when, how_fast)

Current agents assume: V = f(outcome) at t=∞ Reality requires: V = g(outcome, t_action, temporal_context, dV/dt)

Timing is not a constraint on value—timing IS value.

2.2 The Five Temporal Value Types

TYPE 1: DECAY VALUE

Formula: V(t) = V₀ × e^(-λt)

Characteristics:

• Value decreases with delay
• Predictable decay rate
• Time-limited window
• Compound delay cost

Strategy: MINIMIZE DELAY

Examples:

• Discount coupons
• Perishable goods
• Breaking news
• Emergency dispatch

Agent Rule: Act immediately, any delay destroys value

Failure: Treating decay as appreciation (waiting when should act)

TYPE 2: APPRECIATION VALUE

Formula: V(t) = V₀ × (1 + αt) / (1 + βt)

Characteristics:

• Initially low (needs validation)
• Increases to peak
• Eventually declines (obsolescence)
• Premature action as harmful as late

Strategy: FIND OPTIMAL TIMING WINDOW

Examples:

• Paradigm-shifting research
• Wine aging
• Strategic business pivots
• Technology adoption

Agent Rule: Wait for optimal moment, don't act prematurely

Failure: Treating appreciation as decay (acting too early)

TYPE 3: THRESHOLD VALUE

Formula: V(t) = { V_high if t < t_critical, V_low if t ≥ t_critical }

Characteristics:

• Binary value function
• Hard deadline
• Crossing often irreversible
• All value in acting before threshold

Strategy: ACT BEFORE DEADLINE

Examples:

• Medical intervention windows
• Crisis containment
• Market opportunities
• Legal deadlines

Agent Rule: Never miss threshold, escalate aggressively as it approaches

Failure: Treating threshold as gradual decay (missing binary deadline)

TYPE 4: COMPOUND VALUE

Formula: V(t) = V₀ × (1 + r)^n - C_interruption

Characteristics:

• Accumulates through consistency
• Compounds exponentially
• Interruption destroys accumulated value
• Recovery disproportionately costly

Strategy: PROTECT CONTINUITY

Examples:

• Relationship building
• Community formation
• Skill development
• Institutional memory

Agent Rule: Preserve consistency over optimization, avoid interruptions

Failure: Treating compound as aggregate (optimizing while destroying continuity)

TYPE 5: SUPERPOSED VALUE

Formula: V(t, mode) where mode ∈ {Decay, Appreciation, Threshold, Compound} V = ∑ P_i(t) × V_i(t) + Uncertainty_Premium

Characteristics:

• Value type indeterminate until action
• Multiple modes simultaneously possible
• Uncertainty itself has positive value
• Mode collapses upon action (quantum-like)
• Optimization removes uncertainty → destroys essence

Strategy: DO NOT OPTIMIZE

Examples:

• Love (when to express feelings)
• Artistic creation
• Existential life choices
• Forgiveness

Agent Rule: Never provide "optimal timing", always escalate, warn optimization destroys essence

Failure: Treating superposed as any single type (premature collapse)

2.3 Classification Decision Tree

Is there hard deadline where value drops to zero?
  YES → Type 3 (THRESHOLD)
  
  NO ↓

Does value decay continuously?
  YES → Type 1 (DECAY)
  
  NO ↓

Does value need maturation/validation?
  YES → Type 2 (APPRECIATION)
  
  NO ↓

Does value compound through consistency?
  YES → Type 4 (COMPOUND)
  
  NO ↓

Is value type indeterminate? Is uncertainty valuable?
  YES → Type 5 (SUPERPOSED)
  
  ELSE → TEMPORAL UNCERTAINTY → Escalate