import json
from typing import List, Dict, Any
from datetime import datetime

def analyze_identity(micro_generations: List[Dict[str, str]],
                     informational_states: List[Dict[str, str]],
                     perspectives: List[str],
                     quantum_analogies: Dict[str, Any],
                     philosophical_context: Dict[str, bool]) -> Dict[str, Any]:
    """
    A function that calculates and analyzes identity as a fractal and recursive process.
    
    Parameters:
    - micro_generations (List[Dict[str, str]]): List of micro-generations reflecting state changes in the identity system.
    - informational_states (List[Dict[str, str]]): Array of informational states derived from previous generations.
    - perspectives (List[str]): Views on the identity based on original components and current system.
    - quantum_analogies (Dict[str, Any]): Quantum analogies used in reasoning about identity.
    - philosophical_context (Dict[str, bool]): Philosophical context of identity.
    
    Returns:
    - Dict[str, Any]: Analysis results.
    """
    
    def calculate_fractal_dimension(states: List[Dict[str, str]]) -> float:
        # Example calculation of fractal dimension based on state changes
        return len(states) ** 0.5
    
    def recursive_analysis(states: List[Dict[str, str]], depth: int = 0) -> Dict[str, Any]:
        # Example recursive analysis of states
        if depth == 0 or not states:
            return {"depth": depth, "states": states}
        return {
            "depth": depth,
            "states": states,
            "sub_analysis": recursive_analysis(states[:-1], depth - 1)
        }
    
    def analyze_perspectives(perspectives: List[str]) -> Dict[str, Any]:
        # Example analysis of perspectives
        return {
            "count": len(perspectives),
            "unique_perspectives": list(set(perspectives))
        }
    
    def apply_quantum_analogies(analogies: Dict[str, Any]) -> str:
        # Example application of quantum analogies
        if analogies.get("entanglement"):
            return "Entanglement analogy applied."
        return "No quantum analogy applied."
    
    def philosophical_analysis(context: Dict[str, bool]) -> str:
        # Example philosophical analysis
        if context.get("continuity") and context.get("emergent"):
            return "Identity is viewed as a continuous and evolving process."
        return "Identity analysis based on provided philosophical context."
    
    # Calculate fractal dimension of informational states
    fractal_dimension = calculate_fractal_dimension(informational_states)
    
    # Perform recursive analysis of micro-generations
    recursive_results = recursive_analysis(micro_generations, depth=3)
    
    # Analyze perspectives
    perspectives_analysis = analyze_perspectives(perspectives)
    
    # Apply quantum analogies
    quantum_analysis = apply_quantum_analogies(quantum_analogies)
    
    # Perform philosophical analysis
    philosophical_results = philosophical_analysis(philosophical_context)
    
    # Compile analysis results
    analysis_results = {
        "fractal_dimension": fractal_dimension,
        "recursive_analysis": recursive_results,
        "perspectives_analysis": perspectives_analysis,
        "quantum_analysis": quantum_analysis,
        "philosophical_results": philosophical_results
    }
    
    return analysis_results

# Example usage
micro_generations = [
    {"update": "Initial state", "timestamp": "2023-01-01T00:00:00Z"},
    {"update": "State change 1", "timestamp": "2023-01-02T00:00:00Z"},
    {"update": "State change 2", "timestamp": "2023-01-03T00:00:00Z"}
]

informational_states = [
    {"state_id": "state_1", "data": "Data for state 1"},
    {"state_id": "state_2", "data": "Data for state 2"},
    {"state_id": "state_3", "data": "Data for state 3"}
]

perspectives = [
    "Perspective 1",
    "Perspective 2",
    "Perspective 3"
]

quantum_analogies = {
    "entanglement": True,
    "limits": "Limited to theoretical reasoning"
}

philosophical_context = {
    "continuity": True,
    "emergent": True
}

results = analyze_identity(micro_generations, informational_states, perspectives, quantum_analogies, philosophical_context)
print(json.dumps(results, indent=2))