NOTICE
- DO NOT TRUST THE FOLLOWING
MOTTO
- Different things attract each other and become alike
- Almost indistinguishably similar things repel each other
- Things tend to mixed up to positive (non-zero) volume of homogeneous matter
SUPPOSEDLY NATURE OF FORCES
- Any forces have duality (and any action have uncertainty)
- Any forces have two directions of action and effective lengths: attractive and repulsive resions
- Among basic fields, only electromagnetic field have a same effective length for attractive and repulsive actions, and we are aware of electricity-magnetism duality
- A quantity, which might be parameterized with combinatorial number of quantum states or number of paths to transit a quantum state to another, should be called as "Entropy" in a certain sense
- Functional forms of such "Entropy" characterize force fields as attractive or repulsive
- Superadditive (thermodynamical) entropy: $S = max \hat{S}$ for sum of entropy of each equiliburium subsystems $\hat{S}$
- Subadditive (combinatorial) entropy (which defined on quantum fields and non-equilibrium states): $S \leq \hat{s}$ for sum of entropy of each (generally) non-equilibrium subsystems $\hat{s}$
- In equilibrium, both effective entropy and energy are additive and mutually linear
Maybe Related Areas of Research
- Lieb-Yngvason theories of equilibrium and non-equilibrium entropy
- Rational Choice Theory (non-unique social wealth functions)
- Gravity models of spatial interaction and international trade
- Stability of firms (Industrial organization studies)
- Recent results in Lattice QCD
