bd423e489c
- Add algebra/rotor.py: word_transition_rotor() as a free operator function - Update algebra/__init__.py: export word_transition_rotor - Refactor vocab/manifold.py: remove edge_rotor(), add versor grade-norm invariant check in add() to reject raw coordinate vectors at insertion time VocabManifold now stores only algebraically valid Cl(4,1) versors and exposes only relational lookup (CGA inner product). Rotor construction is a contextual algebra-layer concern, not a vocabulary property.
34 lines
1.1 KiB
Python
34 lines
1.1 KiB
Python
"""
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algebra/rotor.py — Rotor construction operators for Cl(4,1).
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Rotors are operators. They live here, in algebra/, not in vocab/.
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A rotor between two word-versors is a contextual, field-level concern:
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it describes a transformation being applied, not a property of the vocabulary.
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"""
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import numpy as np
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from .cl41 import geometric_product, reverse
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from .versor import normalize_to_versor
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def word_transition_rotor(A: np.ndarray, B: np.ndarray) -> np.ndarray:
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"""
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Compute the rotor R that rotates versor A toward versor B in Cl(4,1).
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R = normalize(1 + B * reverse(A))
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This is a pure operator — it transforms a field state, it does not
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encode a position. Call this from algebra-aware field logic; never
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store the result on a vocabulary structure.
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Args:
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A: Source versor, shape (32,), grade-normed to ±1.
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B: Target versor, shape (32,), grade-normed to ±1.
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Returns:
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R: Normalized rotor in Cl(4,1), shape (32,).
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"""
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R = geometric_product(B, reverse(A))
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R = R.copy()
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R[0] += 1.0
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return normalize_to_versor(R)
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