Derivation from the Dynamic to the Minimal Form of the Tenson Limit Equation

This paper rigorously demonstrates how the dynamic form of the Tenson Limit Equation, ∇∞·dLTdt=dε∞ can be reduced to its minimal (steady) form dt,∇∞ ·LT = ε∞,without omitting intermediate steps. The derivation clarifies the mathematical assumptions required, such as operator commutativity, asymptotic steadiness, and the treatment of initial conditions, ensuring a logically complete path from the dynamic law to the asymptotic conservation principle.

Publication Details

Journal
PhilPapers (PhilPapers Foundation)
Published
2025-10-22
Primary Topic
stochastic dynamics and bifurcation
Type
article
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article

Derivation from the Dynamic to the Minimal Form of the Tenson Limit Equation

PhilPapers (PhilPapers Foundation)
stochastic dynamics and bifurcation
article

Derivation from the Dynamic to the Minimal Form of the Tenson Limit Equation

article en

Abstract

This paper rigorously demonstrates how the dynamic form of the Tenson Limit Equation, ∇∞·dLTdt=dε∞ can be reduced to its minimal (steady) form dt,∇∞ ·LT = ε∞,without omitting intermediate steps. The derivation clarifies the mathematical assumptions required, such as operator commutativity, asymptotic steadiness, and the treatment of initial conditions, ensuring a logically complete path from the dynamic law to the asymptotic conservation principle.

PhilPapers (PhilPapers Foundation)
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stochastic dynamics and bifurcation
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Derivation from the Dynamic to the Minimal Form of the Tenson Limit Equation · PhilPapers (PhilPapers Foundation) (2025) | TGRS Research Map | TGRS