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Canvas Combinatorics (The Combinatorial Table): A Phenomenological Classification of Physical Phenomena from Eight Primitives

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Zenodo2026-07-30 更新2026-08-01 收录
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We present a phenomenological classification scheme in which the structural features of known physics are organized by combinations of eight primitive concepts: Order, Amplitude, Acceleration, Polarity, Chirality, Dimension, Angle, and Charge. The primitives are motivated by a picture in which physical phenomena emerge from wave intersections on a pre-geometric canvas; however, this paper does not derive the primitives from deeper principles or claim logical necessity. We take the eight primitives as a starting point and explore their combinatorial consequences. The eight primitives generate 2^8 - 1 = 255 non-empty combinations. Of these, we provisionally identify physical interpretations for 63 combinations, with confidence levels ranging from definitional (the primitives themselves) to speculative (placeholder names awaiting independent verification). The remaining 192 combinations constitute a map of unexplored territory—a structured set of prompts for future investigation. Key results: · High-confidence assignments (≥90%): 11 combinations, concentrated at the lowest levels of the hierarchy, including the primitives themselves, space field (P1×P2), time field (P1×P4), mass (P2×P3), and the full dynamic product (P1×P2×P3×P4).· Structural patterns: The dynamic primitives (P1–P4) form a closed core; property primitives (P5–P8) modify or structure these entities but do not, by themselves, generate new phenomena. Combinations drop sharply above Level 3, suggesting a selection rule: physically realized combinations are sparse at higher levels.· Dual pairs: The eight primitives form four dual pairs (Dimension↔Amplitude, Chirality↔Order, Angle↔Acceleration, Charge↔Polarity). The highest-confidence dynamic-property combinations are those that pair primitives from the same dual pair.· Selection rules: Five selection rules are proposed, including: every physically realized combination must contain at least one dynamic primitive; mass requires P2×P3; gauge interactions require P4×P8; spacetime requires P1; and combinations at Level ≥5 are not realized as distinct phenomena. These rules are proposed as hypotheses, not proven theorems.· The gaps: 192 combinations remain unassigned. These are not failures—they are a structured map of where to look next. Known physics not yet classified (momentum, force, spin vs. orbital angular momentum, action, entropy) are identified as prompts for future work. This paper is a phenomenological map, not a theory. It organizes what is known and points to what remains to be understood. Its value will be determined by whether the gaps lead to genuine discoveries or are shown to be empty. Keywords: canvas model, primitives, combinatorics, classification, phenomenology, emergence, selection rules, dual pairs, gaps, unexplored territory

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Zenodo
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2026-07-26
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