F ↔ V
Tier II — Similarity EMPIRICAL
- Object
- rigid_body
- Property
- Force
- Context
- inertial_frame
- Constraint
- net_external
Sieve rationale
Structural equation-level identity (sign=+1): the canonical forms of EQ-NEWTON-II and EQ-OHM are syntactically equal under rename, and F maps to V under the discovered bijection
Physical constraint filter
Both variables are bond-graph efforts but pint dimensions differ ([mass] * [length] / [time] ** 2 vs [mass] * [length] ** 2 / [time] ** 3 / [current]); accepted as a STRUCTURAL effort-analogy (e.g., force ↔ voltage: both occupy the effort slot in their respective bond graphs but are not dimensionally equal). Any downstream composite that needs a numerical identity must supply a transducer coefficient.
Onsager reciprocity applies only to pairs of linear transport laws; at least one equation is not a linear PDE.
Energy conservation check is narrowly targeted at the Newton+Hooke → SHO composite in Medium m2; other composites require the Phase 7 Lyapunov/Noether machinery (not yet built).
Emergent properties
AI review board
1 REJECT vote(s); the coupling is demoted to conjectural per §12.2.
The coupling correctly identifies the well-known force–voltage analogy between mechanical and electrical domains. Both F (force) and V (voltage) occupy the effort slot in their respective bond-graph representations, and the structural isomorphism between F = m·a and V = I·R under variable renaming is a textbook result. The physical-constraint filter appropriately flags that dimensions differ while accepting the mapping as a structural effort-analogy, and it correctly notes that a transducer coefficient would be needed for any numerical composite. The Buckingham π groups are dimensionally consistent within each domain. The emergent properties are modest and not overclaimed. This is a legitimate tier-2 structural analogy with no artefactual claims.
The proposal equates force and voltage via an identity transfer despite them being different physical quantities with incompatible dimensions; the descriptors confirm Force vs ElectricPotentialDifference with no named transducer or transform to relate them. The physical-constraint filter’s pass rests only on a structural bond‑graph effort analogy, which cannot justify numerical identity. With no genuine emergent properties and a missing transduction coefficient (e.g., motor/piezo constant), the coupling is not physically plausible as stated.
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