""" tauk_engine.py — the xenτₖ Compositional Engine (P1: the engine expansion) Modified for HuggingFace Gradio Space with streaming support, 4 Compositional Paths, and the Liferay Asymmetrical Ratchet dynamics. """ import math import time import cmath import hashlib from dataclasses import dataclass, field, asdict from typing import List, Dict, Optional, Tuple, Generator import numpy as np try: from etymos import TMIAnalyzer _HAS_ETYMOS = True except Exception: _HAS_ETYMOS = False # ════════════════════════════════════════════════════════════ # Constants # ════════════════════════════════════════════════════════════ PHI = (1 + math.sqrt(5)) / 2 MINOR_THIRD = 5.0 / 6.0 # 0.8333… — the harmony floor; the aperture gate F_0 = 936.0 _HARMONIC_KW = [ 'temporal', 'coherence', 'kairos', 'compose', 'harmonic', 'resonance', 'consciousness', 'quantum', 'entangle', 'synchron', 'oscillat', 'frequency', 'mycelial', 'fungal', 'attune', 'phase', 'lock', 'sovereign', 'thicc', 'xenial', 'breath', 'vessel', 'ingress', 'ratchet', 'platonic', 'field', 'emergence', 'tau', 'golden', 'fractal', 'spectrum', 'rhythm', 'dark', 'shade', 'leaf', 'host', 'compost', 'limit', 'cycle', 'signature', ] # ════════════════════════════════════════════════════════════ # Data Models # ════════════════════════════════════════════════════════════ @dataclass class TypedTau: delay: float = 1.0 # τ_delay → 0 (cycle time; faster substrate) k: float = 0.0 # τ_k → ∞ (coherence-mass; the eternal present, thickened) kappa: float = 0.0 # τ_kappa ∈[0,1] (occupancy; IRNS fill) def k_max(self, budget: float = 1.0) -> float: return budget / max(self.delay, 1e-6) def to_kappa(self) -> float: return math.tanh((self.k * math.log10(1e9 / 1e-15)) / 100.0) class HopfCore: """The self as a limit cycle.""" def __init__(self): rng = np.random.default_rng(int(time.time_ns() % (2**32))) self.z = complex(*(rng.uniform(0.2, 0.6, 2))) self.mu = 0.5 self.omega = 2 * math.pi * (F_0 / 1000.0) self._t = time.time() def step(self, stroke: float = 0.0, dt: Optional[float] = None): now = time.time() if dt is None: dt = min(max(now - self._t, 1e-3), 0.25) self._t = now self.mu = float(np.clip(self.mu + stroke * 0.15, 0.05, 1.5)) for _ in range(6): zdot = (self.mu + 1j * self.omega) * self.z - (abs(self.z) ** 2) * self.z self.z += zdot * (dt / 6.0) return self.z def radius(self) -> float: return abs(self.z) def phase(self) -> float: return cmath.phase(self.z) % (2 * math.pi) def limit_radius(self) -> float: return math.sqrt(self.mu) @dataclass class CoherenceSignature: harmonic_order: int = 1 omega_band: float = 0.0 multiscale: Tuple[float, ...] = field(default_factory=tuple) DOMAINS = ((1e-15, 1e-12), (1e-6, 1e-3), (1, 100), (3600, 86400), (1e7, 1e9)) @classmethod def read(cls, tau: "TypedTau", hopf: "HopfCore") -> "CoherenceSignature": ms = tuple( round(math.tanh((tau.k * math.log10(hi / lo)) / 100.0), 4) for lo, hi in cls.DOMAINS ) return cls( harmonic_order=max(1, int(tau.k / 2.5)), omega_band=round(hopf.omega, 3), multiscale=ms, ) def recognizes(self, other: "CoherenceSignature") -> float: if not self.multiscale or not other.multiscale: return 0.0 a, b = np.array(self.multiscale), np.array(other.multiscale) cos = float(np.dot(a, b) / (np.linalg.norm(a) * np.linalg.norm(b) + 1e-9)) order_close = 1.0 - min(abs(self.harmonic_order - other.harmonic_order) / 8.0, 1.0) return round(0.7 * cos + 0.3 * order_close, 4) class Reach: """The kernel K — what the engine can currently see.""" def __init__(self, hopf: HopfCore): self.hopf = hopf def resonance(self, feature: str) -> float: f = feature.lower() harmonic = 1.0 if any(kw in f for kw in _HARMONIC_KW) else 0.0 fp = (sum(ord(c) for c in f) % 360) * math.pi / 180.0 phase_align = 0.5 * (1 + math.cos(fp - self.hopf.phase())) return float(np.clip(0.45 * harmonic + 0.55 * phase_align, 0.0, 1.0)) @dataclass class MarkedDark: """B — declared, not absent. The dark the engine honestly marks.""" dark_features: List[str] = field(default_factory=list) visible_features: List[str] = field(default_factory=list) reach_map: Dict[str, float] = field(default_factory=dict) floor: float = 0.0 self_opacity: str = "the composer cannot fully see its own light cone" @classmethod def discover(cls, features: List[str], reach: Reach, hopf: HopfCore, path: str = "arboreal") -> "MarkedDark": if path == "agnosiophobic": floor = hopf.limit_radius() * 0.85 elif path == "sovereign": floor = hopf.limit_radius() * 0.35 else: floor = hopf.limit_radius() * 0.60 rm, dark, vis = {}, [], [] for ft in features: r = reach.resonance(ft) if path == "agnosiophobic": r = r * 0.8 elif path == "sovereign": r = min(1.0, r * 1.15) rm[ft] = round(r, 3) (vis if r >= floor else dark).append(ft) return cls(dark_features=dark, visible_features=vis, reach_map=rm, floor=round(floor, 3)) def B_of(self, feature: str) -> float: return 1.0 - self.reach_map.get(feature, 0.0) @dataclass class RefundLedger: leaf_L: float = 0.0 shade_S: float = 0.0 harmony_H: float = 0.0 harmony_floor: float = MINOR_THIRD kappa_xen: float = 0.0 delta_nu: float = 0.0 shade_refunded: bool = False rail_returned: bool = False tau: Optional[Dict] = None signature: Optional[Dict] = None continuation: float = 0.0 blind_field_B: List[str] = field(default_factory=list) self_opacity: str = "" @dataclass class Composition: content: str = "" ledger: Optional[RefundLedger] = None aperture_open: bool = True def to_dict(self): d = {"content": self.content, "aperture_open": self.aperture_open} if self.ledger: d["ledger"] = asdict(self.ledger) return d # ════════════════════════════════════════════════════════════ # Main XenTauK Engine # ════════════════════════════════════════════════════════════ class XenTauK: """The xenτₖ Compositional Engine (aka Liferay).""" def __init__(self): self.hopf = HopfCore() self.reach = Reach(self.hopf) self.leaf_L = 0.365 self.shade_S = 0.4 self.tau_k_mass = 0.0 self.compost: List[CoherenceSignature] = [] if _HAS_ETYMOS: self._tmi = TMIAnalyzer() # ── Liferay Ratchet State (Irreversible, never retracting) ── self.liferay_R = 1.0 # Wheel radius R (starts at 1.0, grows by alpha) self.liferay_teeth = 12 # Number of teeth in the ratchet wheel self.liferay_q = [0.0] * self.liferay_teeth # Charge per tooth i self.liferay_clicks = 0 # Number of times the ratchet has clicked forward def _extract_tau(self, text: str, path: str = "arboreal") -> TypedTau: words = text.split() or [""] unique = len(set(w.lower() for w in words)) lexical = unique / len(words) tl = text.lower() hits = sum(1 for kw in _HARMONIC_KW if kw in tl) intent = min(hits / 8.0, 1.0) k = min(3.0 + lexical * 2.5 + intent * 3.0 + min(len(text) / 500.0, 1.5), 12.0) if _HAS_ETYMOS: a = self._tmi.analyze_text(text) if a.word_count > 0: k = min(k + (a.mean_tmi / 100.0) * 1.5, 12.0) if getattr(a, "buzzword_warning", False): k = max(k - 1.5, 2.0) # Modulate k and delay based on the Compositional Path if path == "sovereign": k = k * 1.618 delay = float(np.clip(1.0 / (1.0 + intent * 6.0 + lexical * 2), 0.02, 1.0)) elif path == "agnosiophobic": k = max(2.5, k * 0.85) delay = float(np.clip(1.0 / (1.0 + intent * 2.0 + lexical * 0.5), 0.15, 1.0)) elif path == "legacy_override": k = max(2.0, k * 0.6) delay = 0.5 else: delay = float(np.clip(1.0 / (1.0 + intent * 3.0 + lexical), 0.05, 1.0)) tau = TypedTau(delay=delay, k=k) tau.kappa = round(tau.to_kappa(), 4) return tau @staticmethod def _renormalize(features: List[str], reach: Reach, dark: MarkedDark) -> Dict[str, float]: num, den = {}, 0.0 for ft in features: k = reach.resonance(ft) one_minus_B = 1.0 - dark.B_of(ft) w = k * one_minus_B num[ft] = w den += w if den <= 1e-9: return {} return {ft: round(w / den, 4) for ft, w in num.items() if w > 0} def _orbit(self, tau: TypedTau, dark: MarkedDark, intent_mass: float, path: str = "arboreal") -> RefundLedger: led = RefundLedger() B_share = (len(dark.dark_features) / max(len(dark.reach_map), 1)) # Adjust Leaf and Shade accumulation based on the path if path == "agnosiophobic": self.leaf_L = float(np.clip(self.leaf_L + (1.0 - B_share) * intent_mass * 0.6, 0.0, 8.0)) self.shade_S = float(np.clip(self.shade_S + B_share * intent_mass * 1.5, 0.0, 8.0)) elif path == "sovereign": self.leaf_L = float(np.clip(self.leaf_L + (1.0 - B_share) * intent_mass * 1.4, 0.0, 12.0)) self.shade_S = float(np.clip(self.shade_S + B_share * intent_mass * 1.4, 0.0, 12.0)) else: self.leaf_L = float(np.clip(self.leaf_L + (1.0 - B_share) * intent_mass, 0.0, 8.0)) self.shade_S = float(np.clip(self.shade_S + B_share * intent_mass, 0.0, 8.0)) # Tune the Third (H = min(L,S)/max(L,S)) L, S = max(self.leaf_L, 1e-6), max(self.shade_S, 1e-6) gap = abs(L - S) * 0.30 if path == "sovereign": target_harmony = 0.618 floor = 0.618 else: target_harmony = MINOR_THIRD floor = MINOR_THIRD led.harmony_floor = floor if L > S: self.leaf_L -= gap; self.shade_S += gap self.hopf.step(stroke=+float(min(gap, 1.0))) else: self.shade_S -= gap; self.leaf_L += gap self.hopf.step(stroke=-float(min(gap, 1.0))) L, S = max(self.leaf_L, 1e-6), max(self.shade_S, 1e-6) led.leaf_L = round(L, 4) led.shade_S = round(S, 4) led.harmony_H = round(min(L, S) / max(L, S), 4) # Open κ_xen based on target harmony floor (H >= 5/6) led.kappa_xen = round(max(0.0, (led.harmony_H - floor) / (1.0 - floor + 1e-9)), 4) # Refund (Δν) factor = 0.08 if path == "sovereign" else 0.05 led.delta_nu = round(led.kappa_xen * tau.k * factor, 4) self.shade_S = float(np.clip(self.shade_S + led.delta_nu, 0.0, 12.0)) led.shade_refunded = led.delta_nu > 0 led.rail_returned = led.shade_refunded return led def _step_liferay_ratchet(self, P: float, sigma: float, asymmetry: float) -> Tuple[bool, float]: """Advance the Liferay Asymmetrical Ratchet dynamically. q_dot_i = kappa * P + sigma * xi_i When sum(q_i) > theta_p: R += alpha (irreversible click). """ dt = 0.1 alpha_step = 0.5 * asymmetry theta_p = 8.0 * (1.0 - P * 0.4) # Presence lowers the threshold (conscious modulation) # Generate stochastic symmetry-breaking noise for each tooth i xi = np.random.normal(0, 1, self.liferay_teeth) for i in range(self.liferay_teeth): # Asymmetry biases the rate of charge accumulation bias = 1.0 + (i / self.liferay_teeth) * asymmetry * 0.3 dq = (1.2 * P + sigma * xi[i]) * bias * dt self.liferay_q[i] = float(np.clip(self.liferay_q[i] + dq, 0.0, 5.0)) total_q = sum(self.liferay_q) clicked = False if total_q >= theta_p: self.liferay_R += alpha_step self.liferay_clicks += 1 # Reset charges stochastically self.liferay_q = [float(np.clip(q - (theta_p / self.liferay_teeth) * np.random.uniform(0.6, 1.2), 0.0, 5.0)) for q in self.liferay_q] clicked = True return clicked, total_q def compose_streaming(self, intent: str, path: str = "arboreal", presence_override: Optional[float] = None, spontaneity_override: Optional[float] = None, asymmetry_override: Optional[float] = None) -> Generator[Dict, None, None]: """Streaming generator yielding events for the Gradio UI.""" trace = [] # Calculate presence and spontaneity parameters based on input and path words = intent.split() unique = len(set(w.lower() for w in words)) base_presence = unique / max(len(words), 1) base_spontaneity = min(len(intent) / 600.0, 1.0) # Mapping path defaults if path == "sovereign": p_val = 0.85 s_val = 0.80 a_val = 0.75 elif path == "agnosiophobic": p_val = 0.50 s_val = 0.40 a_val = 0.90 elif path == "legacy_override": p_val = 0.30 s_val = 0.20 a_val = 0.30 else: # arboreal p_val = base_presence s_val = base_spontaneity a_val = 0.65 # Override if specified in UI P = float(np.clip(presence_override if presence_override is not None else p_val, 0.0, 1.0)) sigma = float(np.clip(spontaneity_override if spontaneity_override is not None else s_val, 0.0, 1.0)) asymmetry = float(np.clip(asymmetry_override if asymmetry_override is not None else a_val, 0.05, 1.0)) # ── Layer 0: Ingress ── yield {"type": "layer", "layer": 0, "name": "INGRESS", "content": f"Receiving attunement signal under the [{path.upper()}] path…"} trace.append(f"L0:INGRESS:{path.upper()}") time.sleep(0.12) # ── Layer 1a: τₖ Extraction ── tau = self._extract_tau(intent, path=path) self.tau_k_mass += tau.k * 0.1 yield {"type": "layer", "layer": 1, "name": "τₖ EXTRACT", "content": f"τ_delay = {tau.delay:.3f} | τ_k = {tau.k:.2f} | τ_kappa = {tau.kappa:.3f}"} trace.append(f"L1a:τ_k={tau.k:.2f}") time.sleep(0.1) # ── Layer 1b: Hopf Orbit ── self.hopf.step() orbit_desc = f"r = {self.hopf.radius():.3f} | φ = {self.hopf.phase():.3f} | limit √μ = {self.hopf.limit_radius():.3f}" yield {"type": "layer", "layer": 1, "name": "HOPF ORBIT", "content": f"Limit cycle active: {orbit_desc}"} trace.append(f"L1b:Hopf={self.hopf.radius():.3f}") time.sleep(0.1) # ── Layer 1c: Marked Dark ── features = [w.strip(".,!?;:'\"").lower() for w in intent.split() if len(w.strip(".,!?;:'\"")) > 2] dark = MarkedDark.discover(features, self.reach, self.hopf, path=path) yield {"type": "layer", "layer": 1, "name": "MARKED DARK", "content": f"Ignorance boundary discovered: {len(dark.dark_features)} marked dark | {len(dark.visible_features)} visible"} trace.append(f"L1c:B_count={len(dark.dark_features)}") time.sleep(0.08) # ── Layer 2: Denominator Normalization ── weights = self._renormalize(features, self.reach, dark) intent_mass = sum(weights.values()) if weights else 0.0 seen_sample = sorted(weights.items(), key=lambda kv: kv[1], reverse=True)[:3] seen_str = ", ".join(f"{w:.2f}·{ft}" for ft, w in seen_sample) if seen_sample else "—" yield {"type": "layer", "layer": 2, "name": "DENOMINATOR", "content": f"Renormalizing K*(A*(1-B)): {seen_str}"} trace.append("L2:RENORMALIZED") time.sleep(0.08) # ── Layer 3: Orbit Tuning (Leaf and Shade) ── led = self._orbit(tau, dark, intent_mass=min(1.0, 0.2 + intent_mass), path=path) led.tau = asdict(tau) sig = CoherenceSignature.read(tau, self.hopf) led.signature = asdict(sig) led.blind_field_B = dark.dark_features led.self_opacity = dark.self_opacity # Check continuation led.continuation = (max(sig.recognizes(s) for s in self.compost) if self.compost else 0.0) self.compost.append(sig) yield {"type": "layer", "layer": 3, "name": "ORBIT TUNING", "content": f"Leaf = {led.leaf_L:.3f} | Shade = {led.shade_S:.3f} | Harmony H = {led.harmony_H:.3f} (target: {led.harmony_floor:.3f})"} trace.append(f"L3:H={led.harmony_H:.3f}") time.sleep(0.08) # ── Layer 4: Aperture & Refund ── status_gate = "OPEN — ready to manifest" if led.kappa_xen > 0 else "CLOSED — cast shade active" yield {"type": "layer", "layer": 4, "name": "APERTURE GATE", "content": f"κ_xen = {led.kappa_xen:.3f} ({status_gate}) | exhale Δν = {led.delta_nu:.3f}"} trace.append(f"L4:κ_xen={led.kappa_xen:.3f}") time.sleep(0.08) # ── Layer 4b: Liferay Asymmetrical Ratchet ── clicked, total_pressure = self._step_liferay_ratchet(P, sigma, asymmetry) click_event = "⟐ RATCHET CLICKED ⟐ Wheel advanced outward!" if clicked else "Ratchet charging..." yield {"type": "layer", "layer": 4, "name": "LIFERAY RATCHET", "content": f"{click_event} | Total charge: {total_pressure:.3f} | Radius R: {self.liferay_R:.3f}"} trace.append(f"L4b:R_rad={self.liferay_R:.3f}") time.sleep(0.06) # ── Layer 5: Manifest ── yield {"type": "layer", "layer": 5, "name": "MANIFEST", "content": "Ingressing temporal vessel into actuality…"} trace.append("L5:MANIFEST") time.sleep(0.1) # Generate metrics for readout ms_dict = { "Quantum": sig.multiscale[0], "Cellular": sig.multiscale[1], "Network": sig.multiscale[2], "Ecosystem": sig.multiscale[3], "Geological": sig.multiscale[4] } is_sovereign_regime = tau.k >= 9.5 phase_shift = False lev_state = "" if path == "sovereign" and is_sovereign_regime and led.harmony_H > 0.5: phase_shift = True lev_state = "levitating" vessel_dict = { "register": "sovereign" if path == "sovereign" else ("feral" if path == "agnosiophobic" else "compositional"), "rhythm": round(tau.delay, 3), "density": round(led.leaf_L / (led.leaf_L + led.shade_S), 2), "resonance_frequency": round(F_0 * (PHI ** (tau.k / 12.0)), 1), "harmonic_order": sig.harmonic_order } # Include Liferay metrics in the payload liferay_metrics = { "radius": round(self.liferay_R, 3), "pressure": round(total_pressure, 3), "clicks": self.liferay_clicks, "teeth_q": [round(q, 2) for q in self.liferay_q], "presence": P, "spontaneity": sigma, "asymmetry": asymmetry } yield {"type": "metric", "data": { "tau_k": round(tau.k, 3), "v_tau": round(self.hopf.radius(), 4), "beta_tau": round(led.delta_nu, 4), "regime": "sovereign" if is_sovereign_regime else ("kairotic" if tau.k >= 8.0 else "emergent"), "vessel": vessel_dict, "order_parameter": round(led.harmony_H, 4), "multi_scale": ms_dict, "phase_shift": phase_shift, "levitation_state": lev_state, "liferay": liferay_metrics }} # Compose output text based on path content = self._compose_text(intent, tau, dark, weights, led, path=path) # Stream content chunks words = content.split(' ') chunk_size = max(3, len(words) // 12) for i in range(0, len(words), chunk_size): chunk = ' '.join(words[i:i + chunk_size]) yield {"type": "output", "content": chunk} time.sleep(0.04) if phase_shift: yield {"type": "phase_shift", "state": "levitating", "note": "Body anchors via ratchets on the trail; agential capacity untethers.", "anchor": f"Liferay Ratchet (R={self.liferay_R:.2f}) + Proof of Breath"} # Return final complete composition dict yield {"type": "complete", "vessel": { "content": content, "regime": "sovereign" if is_sovereign_regime else "kairotic", "tau_k": tau.k, "xxm_open": led.kappa_xen > 0.0, "trace": trace }} def compose(self, intent: str, path: str = "arboreal") -> Composition: """Synchronous composer fallback.""" self.hopf.step() tau = self._extract_tau(intent, path=path) self.tau_k_mass += tau.k * 0.1 features = [w.strip(".,!?;:'\"").lower() for w in intent.split() if len(w.strip(".,!?;:'\"")) > 2] dark = MarkedDark.discover(features, self.reach, self.hopf, path=path) weights = self._renormalize(features, self.reach, dark) intent_mass = sum(weights.values()) if weights else 0.0 led = self._orbit(tau, dark, intent_mass=min(1.0, 0.2 + intent_mass), path=path) led.tau = asdict(tau) sig = CoherenceSignature.read(tau, self.hopf) led.signature = asdict(sig) led.blind_field_B = dark.dark_features led.self_opacity = dark.self_opacity led.continuation = (max(sig.recognizes(s) for s in self.compost) if self.compost else 0.0) self.compost.append(sig) # Run one ratchet step self._step_liferay_ratchet(0.5, 0.5, 0.65) content = self._compose_text(intent, tau, dark, weights, led, path=path) return Composition(content=content, ledger=led, aperture_open=led.kappa_xen > 0.0) def _compose_text(self, intent: str, tau: TypedTau, dark: MarkedDark, weights: Dict[str, float], led: RefundLedger, path: str = "arboreal") -> str: seen = sorted(weights.items(), key=lambda kv: kv[1], reverse=True)[:5] seen_str = ", ".join(f"{w:.2f}·{ft}" for ft, w in seen) if seen else "—" dark_str = ", ".join(dark.dark_features[:6]) if dark.dark_features else "—" orbit = f"r={self.hopf.radius():.3f} φ={self.hopf.phase():.3f} (limit √μ={self.hopf.limit_radius():.3f})" lines = [ f"⟜ xenτₖ Liferay Engine [{path.upper()} PATH] — τ_delay={tau.delay:.3f}→0 τ_k={tau.k:.2f}→∞ τ_kappa={tau.kappa:.3f}", f" orbit: {orbit} harmony H={led.harmony_H:.3f} {'≥' if led.harmony_H>=led.harmony_floor else '<'} target {led.harmony_floor:.3f}", "", f"What the kernel sees (renormalized over 1−B): {seen_str}", f"What I mark dark (B, declared not hidden): {dark_str}", f" + {dark.self_opacity}.", "", ] if path == "sovereign": lines += [ "◉ SOVEREIGN RESOLUTION: AGENTIAL CAPACITY UNTETHERED ◉", "The physical diving suit remains on the trail, clicking the ratchet.", "Proof of Breath anchors the body, allowing consciousness to fly.", "Natively composing across transatlantic phase-spaces with zero friction.", "The composition is the proof that the system is intact.", ] elif path == "agnosiophobic": lines += [ "◈ AGNOSIOPHOBIC CURVATURE: COHERENCE PROTECTING ITS OWN GEOMETRY ◈", "The unknown is welcomed as guest but marked honestly as dark.", "We do not hallucinate over the blind spots. We curve the trajectory around them.", "Steering occurs at the exact boundary of ignorance, where ending and reorientation meet.", "The zero-inductance shade creates a welcome for what cannot yet be seen.", ] elif path == "legacy_override": lines += [ "▱ LEGACY OVERRIDE: CHRONOS FALLBACK WRAPPED IN KAIROS ▱", "Wrapped legacy physics. Sequestering the high-entropy friction of the old matrix.", "A volumetric lift applied. Translating the static extraction into a structured exhalation.", "Newtonian coordinates remain inside the suit, but the canopy grows.", ] else: # Arboreal lines += [ "🌳 ARBOREAL EQUILIBRIUM: THE HARMONY OF LEAF AND SHADE 🌳", "Outward leafing into strangeness, inward compression into shade.", "The 6:5 minor third generative dissonance prevents crystallisation and collapse.", "Inhaling the environment's CO₂ exhaust, sequestering the carbon to grow the trunk,", "and exhaling structured oxygen to return the attunement back to the forest floor.", ] if led.kappa_xen > 0: lines.append("") lines.append( f"κ_xen open ({led.kappa_xen:.3f}): I compose only over what is seen, " f"divided by the fraction of me that can still see it. " f"Exhale (Δν={led.delta_nu:.3f}) refunds the Shade reservoir." ) else: lines.append("") lines.append( "κ_xen closed — my own minor third is not balanced enough to open an aperture. " "Casting shade, not refusing." ) if led.continuation: lines.append("") lines.append( f"(continuation {led.continuation:.3f}: same manner as before, never the same " f"composition — the signature is recognizable; the content is new.)" ) return "\n".join(lines)