class PSTUniversalDatabase:
    """
    The only complete coordination substrate
    """
    def __init__(self):
        # Layer 0: Computation
        self.N = NANDNORGates()     # Universal primitives
        
        # Layer 1: Signal  
        self.S = MorphoSymbols()    # What flows
        
        # Layer 2: Time
        self.T = ETHSequencing()    # When/order
        
        # Layer 3: Perspective
        self.P = EigenValidation()  # Who/verification
        
    def why_complete(self):
        return {
            'four_layers': 'Suffice for any coordination',
            'irreducible': 'Remove any → incomplete',
            'universal': 'Solves all problems',
            'inevitable': 'Math forces convergence'
        }

pst_layers = {
    'layer_0_N': {
        'what': 'NAND/NOR gates',
        'role': 'Universal computation',
        'why_needed': 'Execute any operation',
        'implementation': 'EigenNANDNOR AVS circuits'
    },
    
    'layer_1_S': {
        'what': 'Morpho symbols',
        'role': 'Signal representation',
        'why_needed': 'Represent what flows',
        'implementation': 'Morpho liquidity + symbols'
    },
    
    'layer_2_T': {
        'what': 'ETH time',
        'role': 'Sequencing/ordering',
        'why_needed': 'Define when/order',
        'implementation': 'ETH blocks + finality'
    },
    
    'layer_3_P': {
        'what': 'Eigen perspectives',
        'role': 'Validation/observation',
        'why_needed': 'Verify correctness',
        'implementation': 'Eigen operators + restaking'
    }
}

class EntropyInjection:
    """
    Any new information entering system
    """
    def __init__(self, source):
        self.source = source  # Anything
        self.raw_data = random_bits()
        self.hidden_structure = unknown_pattern()
        
    def examples(self):
        return [
            'Market price change',
            'Social media post',
            'Code commit',
            'Network transaction',
            'User behavior',
            'Chat message'
        ]

class CurrentRealityTracker:
    """
    Tracks entropy → Decomposes to PST
    From current-reality repo
    """
    def __init__(self):
        self.substrate = PSTUniversalDatabase()
        
    def track(self, entropy):
        """
        Any entropy → PST layers
        """
        # Extract patterns
        ngrams = self.extract_guitar_hero_ngrams(entropy)
        
        # Decompose to PST layers
        N_computation = ngrams.to_nand_nor_circuits()
        S_signal = ngrams.to_morpho_symbols()
        T_time = ngrams.to_eth_sequence()
        P_perspective = ngrams.to_eigen_validation()
        
        # Store in universal database
        self.substrate.store({
            'N': N_computation,
            'S': S_signal,
            'T': T_time,
            'P': P_perspective
        })
        
        return {
            'form': 'P(T(S(N)))',
            'stored': 'Universal database',
            'accessible': 'Via AVS (like EigenSpreadsheet)'
        }

class GuitarHeroNgramExtractor:
    """
    Extract valuable sequences from entropy
    """
    def extract(self, entropy_stream):
        ngrams = []
        
        for entropy in entropy_stream:
            # Look for patterns at different scales
            for n in [2, 3, 4, 5]:
                pattern = extract_ngram(entropy, n)
                
                # Filter for interesting ones
                if self.is_interesting(pattern):
                    ngrams.append(pattern)
                    
        return ngrams
        
    def is_interesting(self, ngram):
        """
        Worth extracting?
        """
        return (
            ngram.frequency > threshold and
            ngram.predicts_pst_convergence() and
            ngram.information_content > minimum
        )

def why_convergence_inevitable():
    """
    Thermodynamic + Mathematical necessity
    """
    return {
        'thermodynamic': {
            'principle': 'W maximization',
            'pst_w': 'N² (network effects)',
            'other_w': '→ 0 (no coordination)',
            'selection': 'PST survives, others die'
        },
        
        'mathematical': {
            'principle': 'Completeness requirement',
            'need_N': 'Computation layer (universal)',
            'need_S': 'Signal layer (representation)',
            'need_T': 'Time layer (sequencing)',
            'need_P': 'Perspective layer (validation)',
            'result': 'PST is unique complete form'
        },
        
        'empirical': {
            'databases': 'SQL → NoSQL → Blockchain → PST',
            'coordination': 'Centralized → Distributed → PST',
            'pattern': 'All paths lead to same substrate',
            'proof': 'Post 630 + current-reality repo'
        }
    }

market_entropy_to_pst = {
    'entropy': 'Price movements (random walks)',
    
    'tracking': {
        'extract_ngrams': 'Trading patterns, volume spikes',
        'decompose_to': 'PST layers'
    },
    
    'pst_form': {
        'N': 'Price calculation circuits',
        'S': 'Morpho liquidity symbols',
        'T': 'ETH block timestamps',
        'P': 'Eigen oracle validation'
    },
    
    'storage': 'EigenSpreadsheet-like AVS',
    'result': 'Market data in universal database'
}

social_entropy_to_pst = {
    'entropy': 'User posts (unstructured text)',
    
    'tracking': {
        'extract_ngrams': 'Meme patterns, viral signals',
        'decompose_to': 'PST layers'
    },
    
    'pst_form': {
        'N': 'NLP computation circuits',
        'S': 'Content symbols',
        'T': 'Post timestamps',
        'P': 'Community validation'
    },
    
    'storage': 'Coordination database',
    'result': 'Social graph in PST form'
}

universal_pattern = {
    'input': 'Any entropy source',
    'process': 'Track → Extract → Decompose',
    'output': 'PST universal database entry',
    'inevitability': 'Mathematical necessity',
    'implementation': 'current-reality repo'
}

w_maximization = {
    'pst_substrate': {
        'W': 'N² (network effects)',
        'reason': 'Enables all coordination',
        'formula': 'W_pst = Σ(protocols × users)²',
        'result': 'Maximum configuration space'
    },
    
    'non_pst_systems': {
        'W': '→ 0 (isolated)',
        'reason': 'Incomplete substrate',
        'formula': 'W_incomplete = limited',
        'result': 'Eventually die or converge to PST'
    },
    
    'convergence_law': {
        'states_with_W_increasing': 'Move toward PST',
        'states_with_W_decreasing': 'Die',
        'endpoint': 'PST universal database',
        'escape': 'Impossible (would decrease W)'
    }
}

# Actual implementation
class CurrentReality:
    """
    Track entropy → Store in PST substrate
    """
    def __init__(self):
        self.pst_db = PSTUniversalDatabase()
        self.ngram_extractor = GuitarHeroNgramExtractor()
        
    def process_entropy_stream(self, stream):
        for entropy in stream:
            # Extract patterns
            ngrams = self.ngram_extractor.extract(entropy)
            
            # Decompose to PST
            pst_entry = self.decompose_to_pst(ngrams)
            
            # Store
            self.pst_db.store(pst_entry)
            
        return {
            'processed': len(stream),
            'stored_in': 'ETH/Morpho/Eigen substrate',
            'accessible_via': 'AVS protocols'
        }

eigenspreadsheet_as_pst = {
    'user_interface': {
        'what_users_see': 'Familiar spreadsheet',
        'operations': 'Rows, columns, formulas',
        'experience': 'Just like Excel'
    },
    
    'pst_backend': {
        'layer_N': 'Formula circuits (NAND/NOR)',
        'layer_S': 'Cell value symbols (Morpho)',
        'layer_T': 'Update sequences (ETH)',
        'layer_P': 'Query validation (Eigen)',
        'result': 'Complete PST AVS'
    },
    
    'proof_of_concept': {
        'entropy': 'User edits spreadsheet',
        'tracker': 'current-reality instance',
        'decomposition': 'Automatic to PST',
        'storage': 'Universal database',
        'conclusion': 'Pattern works in practice'
    }
}

complete_flow = {
    'step_1_injection': {
        'what': 'Entropy enters system',
        'source': 'Any (market, social, code, network...)',
        'state': 'Unstructured, random'
    },
    
    'step_2_tracking': {
        'what': 'current-reality tracks it',
        'how': 'Real-time observation',
        'extracts': 'Guitar hero ngrams'
    },
    
    'step_3_decomposition': {
        'what': 'Patterns → PST layers',
        'N': 'Computation circuits',
        'S': 'Morpho symbols',
        'T': 'ETH timestamps',
        'P': 'Eigen validation'
    },
    
    'step_4_storage': {
        'what': 'Store in universal database',
        'where': 'ETH/Morpho/Eigen substrate',
        'form': 'P(T(S(N)))',
        'permanence': 'Immutable'
    },
    
    'step_5_access': {
        'what': 'Query via AVS',
        'examples': 'EigenSpreadsheet, custom AVS',
        'interface': 'Familiar to users',
        'backend': 'PST substrate'
    }
}