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Dissipative forces cannot be derived from a standard potential energy function because they are non-conservative
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SUPPORTED
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4 sources for · 0 against
Is it true that Dissipative forces cannot be derived from a standard potential energy function because they are non-conservative?
Yes. By definition, a standard potential energy function requires path independence and conservative forces, meaning non-conservative dissipative forces cannot be directly derived from it without extended frameworks.
Verdict: SUPPORTED · 4 sources for, 0 against · Last checked
The analysis
Judged against the evidence record for claims of this kind.
Evidence for · 4
Reference article covering this claim directly
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Wikipedia: Potential energy. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Potential_energy
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More for · 3
States explicitly that dissipative, non-equilibrium frameworks cannot be obtained as stationary points of a standard action/potential.
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OpenAIRE: Why the Cross-Scale Non-Equilibrium Hypothesis (CSNEH) Cannot Be Derived from a Least-Action Principle: A Non-Conservative (d'Alembert–Lagrange) Formulation, and the Unification of Local and Cosmological Equilibrium Laws. (2026). OpenAIRE. https://doi.org/10.5281/zenodo.20780070
Explores alternative complex-time frameworks to derive Hamiltonians for damped (dissipative) oscillators, suggesting standard derivations fail.
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KE, A. (2025). Complex Time Approach to the Hamiltonian and the Entropy Production of the Damped Harmonic Oscillator.. peer-reviewed literature. https://doi.org/10.3390/e27080883
Notes that standard Hamiltonian/potential formulations must be extended to port-Hamiltonian frameworks to properly handle non-conservative and open systems.
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R, R. & S, S. (2025). The Port-Hamiltonian Structure of Continuum Mechanics.. peer-reviewed literature. https://doi.org/10.1007/s00332-025-10130-1
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Judged against the evidence record for claims of this kind.
Receipt History
first checked05 Aug 2026
judged → SUPPORTED · 7705 Aug 2026
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