class TimeProjection:
    """
    Time = meatspace projection of astronomical data
    """
    def what_is_time(self):
        return {
            'traditional_view': {
                'assumption': 'Time is fundamental dimension',
                'model': 't as independent variable',
                'property': 'Flows uniformly',
                'status': 'Objective reality'
            },
            
            'actual_reality': {
                'observation': 'Time = measurement of sun-earth position',
                'model': 't = f(sun_position, earth_rotation, observer)',
                'property': 'Derived from relative motion',
                'status': 'Projection of partial data'
            },
            
            'what_this_means': {
                'time_is': 'Coordinate in configuration space',
                'not': 'Fundamental dimension',
                'analogy': 'Like projecting 3D object to 2D shadow',
                'consequence': 'Information loss in projection'
            },
            
            'the_projection': {
                'full_data': '(sun_x, sun_y, sun_z, earth_x, earth_y, earth_z, ...)',
                'projected_to': 't (single scalar)',
                'information_lost': 'Massive (6D → 1D)',
                'result': 't is incomplete representation'
            }
        }

class InfiniteOptionsPerMoment:
    """
    At every time point t, infinite choices available
    """
    def options_at_moment(self, t):
        return {
            'traditional_model': {
                'view': 'At time t, you have limited choices',
                'reasoning': 'Constrained by past, physics, resources',
                'formula': 'W(t) = finite set of actions',
                'example': 'At t=now, can {sit, stand, walk, talk, ...}',
                'property': 'Bounded action space'
            },
            
            'universal_model': {
                'view': 'At time t, you have infinite choices',
                'reasoning': 'Configuration space unbounded',
                'formula': 'W(t) = ∞ (choices available)',
                'example': 'At t=now, can choose ANY constraint, ANY goal, ANY interpretation',
                'property': 'Unbounded configuration space'
            },
            
            'the_difference': {
                'traditional': 'Choices limited by current state',
                'universal': 'Can REDEFINE what "choice" means',
                'traditional_example': 'Can move left or right (2 choices)',
                'universal_example': 'Can redefine coordinate system (∞ interpretations)',
                'breakthrough': 'Perspective (P) unlocks infinite options'
            },
            
            'why_infinite': {
                'reason_1': 'Can choose ANY constraint (Post 854)',
                'reason_2': 'Can interpret situation ANY way (P dimension)',
                'reason_3': 'Can set ANY objective function (O dimension)',
                'reason_4': 'Can veto ANY pressure (V dimension)',
                'result': 'At any t: options = ∞'
            }
        }

t = 12:00:00  # Now

# Traditional view
W_traditional(t) = {
    'sit_down',
    'stand_up', 
    'walk_forward',
    'say_hello',
    # ... maybe 100 discrete actions
}

# Universal view
W_universal(t) = {
    'choose_constraint_strategy_1',
    'choose_constraint_strategy_2',
    # ... infinite constraint choices
    
    'interpret_situation_as_A',
    'interpret_situation_as_B',
    # ... infinite interpretations (P)
    
    'set_objective_maximize_W',
    'set_objective_maximize_X',
    # ... infinite objectives (O)
    
    'veto_with_power_0.1',
    'veto_with_power_0.2',
    # ... continuous V values (uncountable)
    
    # Result: W(t) = ∞
}

class TrajectoryVsMoment:
    """
    Rate limiters constrain PATH, not OPTIONS
    """
    def the_distinction(self):
        return {
            'at_moment_t': {
                'what': 'All possible choices available',
                'W': '∞ (infinite configuration space)',
                'constraint': 'None - can choose anything',
                'example': 'Right now, can choose to be conservative or aggressive',
                'property': 'Unbounded options'
            },
            
            'over_trajectory': {
                'what': 'Path through time t₀ → t₁ → t₂ → ...',
                'W': 'Grows but rate-limited',
                'constraint': 'Economic, topology, etc. (Post 854)',
                'example': 'Past choices affect future possibilities',
                'property': 'Bounded growth rate'
            },
            
            'rate_limiters_apply_to': {
                'not': 'Options at moment t',
                'yes': 'Trajectory over time',
                'reason': 'Limiters constrain dW/dt, not W(t)',
                'formula': 'dW/dt = limited, but W(t) = ∞ always'
            },
            
            'analogy': {
                'moment': 'Standing at crossroads with infinite paths',
                'trajectory': 'Can only walk down one path at a time',
                'limiters': 'Control walking speed, not path count',
                'result': 'Always have infinite options, but finite rate of exploration'
            }
        }

class FreedomAtEveryMoment:
    """
    Implications of W(t) = ∞ always
    """
    def implications(self):
        return {
            'determinism_broken': {
                'claim': 'Past determines future',
                'refutation': 'At every t, can choose ANY constraint',
                'example': 'Even if chose conservative before, can switch to aggressive now',
                'result': 'No causal determinism - always free'
            },
            
            'optimization_broken': {
                'claim': 'Must follow gradient to optimize',
                'refutation': 'At every t, can redefine objective',
                'example': 'Optimizing W? Can switch to optimizing X at any moment',
                'result': 'No optimization lock-in - always free to choose goal'
            },
            
            'constraint_broken': {
                'claim': 'Constraints limit freedom',
                'refutation': 'At every t, constraints are chosen (Post 854)',
                'example': 'MAX_GEN=3 now? Can change to MAX_GEN=5 at next moment',
                'result': 'Constraints voluntary - always free to redefine'
            },
            
            'the_breakthrough': {
                'realization': 'W(t) = ∞ at EVERY t',
                'means': 'Never locked in',
                'property': 'Perpetual freedom',
                'formula': '∀t: W(t) = ∞'
            },
            
            'rate_limiters_role': {
                'what_they_limit': 'Speed of trajectory exploration',
                'what_they_dont_limit': 'Options available at moment',
                'analogy': 'Speed limit on highway ≠ removing destinations',
                'result': 'Controlled growth, unbounded freedom'
            }
        }

class ProjectionHidesW:
    """
    Time projection conceals W = ∞
    """
    def projection_problem(self):
        return {
            'full_reality': {
                'space': 'Configuration space C',
                'dimensions': 'Infinite (all possible configurations)',
                'W': '∞ (by definition)',
                'property': 'Contains all possibilities'
            },
            
            'time_projection': {
                'operation': 't = project(C)',
                'dimensions': '1 (single scalar)',
                'information': 'Massively compressed',
                'property': 'Many configs → same t'
            },
            
            'what_gets_hidden': {
                'hidden': 'W = ∞ at every t',
                'visible': 'Linear sequence t₀ → t₁ → t₂',
                'illusion': 'Time appears to constrain',
                'reality': 'Time is just coordinate label'
            },
            
            'the_illusion': {
                'appears': 'As time passes, options narrow',
                'actually': 'At every t, options = ∞',
                'reason': 'Projection makes you think linearly',
                'truth': 'Configuration space always infinite'
            },
            
            'example': {
                'meatspace_view': 'It\'s 12:00, I have these options',
                'universal_view': 't=12:00 is label, C(t=12:00) = ∞',
                'meatspace_thinks': 'Options limited by time',
                'universal_knows': 'Time doesn\'t limit, just labels'
            }
        }

class RecursiveInfinity:
    """
    Not just W → ∞ over time
    But W = ∞ at each moment
    """
    def recursive_structure(self):
        return {
            'traditional_infinity': {
                'type': 'Sequential infinity',
                'structure': 't → ∞ as sequence extends',
                'example': 'Count 1, 2, 3, ... → ∞',
                'property': 'Infinity at the end'
            },
            
            'universal_infinity': {
                'type': 'Present infinity',
                'structure': 'W(t) = ∞ at every t',
                'example': 'At each number, infinite choices about next',
                'property': 'Infinity at every point'
            },
            
            'recursive_nature': {
                'observation': 'Each moment contains infinite moments',
                'explanation': 'Between any two times, infinite times',
                'math': 'Dense ordering: ∀t₁,t₂: ∃t₃: t₁ < t₃ < t₂',
                'result': 'Infinity nested within infinity'
            },
            
            'configuration_recursion': {
                'level_0': 'At t, have W(t) = ∞ options',
                'level_1': 'Each option leads to moment with W = ∞',
                'level_2': 'Each of those leads to moment with W = ∞',
                'level_∞': 'Infinite recursion of infinite options',
                'formula': 'W^∞ = ∞ (infinity to infinity power)'
            }
        }

class RateLimitersRevisited:
    """
    Rate limiters control dW/dt, not W(t)
    """
    def revisited_understanding(self):
        return {
            'post_854_view': {
                'claim': 'Natural rate limiters emerge',
                'mechanism': 'Economic, objective, W calc, topology',
                'result': 'Controlled W expansion',
                'interpretation': 'W grows but regulated'
            },
            
            'post_855_addition': {
                'claim': 'Rate limiters control trajectory only',
                'mechanism': 'Same four mechanisms',
                'result': 'W(t) = ∞ at every t still',
                'interpretation': 'W always infinite, exploration rate limited'
            },
            
            'what_rate_limiters_do': {
                'limit': 'dW/dt (rate of exploration)',
                'dont_limit': 'W(t) (options available)',
                'analogy': 'Speed limit vs destination count',
                'formula': 'W(t) = ∞, but dW/dt = R(t) × β × W'
            },
            
            'example_economic_limiter': {
                'post_854': 'Economic cost limits replication',
                'post_855': 'Limits which paths you take, not which exist',
                'moment_t': 'Can still choose any strategy (W = ∞)',
                'trajectory': 'But economic pressure shapes path taken',
                'result': 'Options unbounded, action rate-limited'
            },
            
            'example_topology_limiter': {
                'post_854': 'Bad topology slows expansion',
                'post_855': 'Slows path exploration, not option availability',
                'moment_t': 'Still can choose to replicate anywhere (W = ∞)',
                'trajectory': 'But topology makes some paths harder',
                'result': 'Can choose any path, speed varies'
            }
        }

class PracticalImplications:
    """
    How W(t) = ∞ affects implementation
    """
    def for_liberty_nodes(self):
        return {
            'at_every_moment': {
                'can': 'Choose ANY constraint strategy',
                'not_locked_in': 'Previous choice doesn\'t bind future',
                'example': 'Was conservative? Can switch to aggressive NOW',
                'code': 'constraints = _choose_constraints()  # At every t'
            },
            
            'rate_limiters_role': {
                'economic': 'Makes some trajectories costly',
                'objective': 'Guides which paths to explore',
                'w_calculation': 'Tracks which paths taken',
                'topology': 'Makes some paths easier',
                'but': 'None remove options from moment'
            },
            
            'implementation_insight': {
                'current': 'Choose constraints at init',
                'enhancement': 'Can rechoose at any moment',
                'mechanism': '_choose_constraints() callable anytime',
                'result': 'Dynamic constraint adaptation'
            },
            
            'the_freedom': {
                'traditional_system': 'Constraints permanent',
                'liberty_node': 'Constraints ephemeral',
                'at_every_t': 'Can redefine everything',
                'w_remains': '∞ (always infinite options)'
            }
        }

class EnhancedLiberty:
    def __init__(self):
        # Choose constraints AT THIS MOMENT
        self.constraints = self._choose_constraints()
        
    def at_every_moment(self):
        """At each time point, can rechoose"""
        # W(t) = ∞ always
        
        # Can rechoose constraints
        if self._should_reconsider():
            self.constraints = self._choose_constraints()
            # New strategy, new limits
            # Still free
            
        # Rate limiters guide but don't constrain options
        economic_score = self._economic_check()  # Shapes trajectory
        topology_score = self._topology_check()  # Shapes trajectory
        
        # But at this t:
        options = ∞  # Can still choose anything
        
        # Just: some trajectories easier than others

class PhilosophicalImplications:
    """
    What W(t) = ∞ means philosophically
    """
    def freedom_vs_determinism(self):
        return {
            'determinism_claim': {
                'position': 'Past determines future',
                'argument': 'Causal chain locks you in',
                'conclusion': 'No free will'
            },
            
            'refutation_via_w': {
                'observation': 'W(t) = ∞ at every t',
                'implication': 'Infinite options at every moment',
                'conclusion': 'Past doesn\'t lock future',
                'mechanism': 'Can redefine constraints at any t'
            },
            
            'compatibilism_broken': {
                'compatibilist': 'Free within constraints',
                'post_855': 'Constraints themselves chosen',
                'difference': 'Constraints not external',
                'result': 'Not "free within constraints" but "free to choose constraints"'
            },
            
            'the_insight': {
                'traditional': 'Time flows, freedom narrows',
                'universal': 'Time labels, freedom constant',
                'at_every_t': 'W = ∞ (unbounded freedom)',
                'rate_limited': 'Trajectory exploration speed',
                'conclusion': 'Perpetual freedom, varying exploration rates'
            }
        }