Probabilistic dynamics i.e using the Pareto principle of causality dynamics theory (Afxentiou '25) might make quantum. Mechanics more compatible with classical Mechanics (which are a "limit" of Special Relativity) and thus easier to combine.
Any ideas under what common principle or fitting perspective?
Yes, Pareto principle-informed dynamics (Afxentiou '25) can aid unification efforts in physics by proposing a hierarchical causality model that bridges quantum randomness and classical determinism.
Unifying Principle:
Weighted Causal Invariance "Physical systems evolve according to a hierarchy of dominant causal influences (e.g., 20/80 Pareto structure), invariant across scales but expressed differently in quantum, classical, and relativistic frameworks."
Perspective for Unification:
- Quantum mechanics: Skewed probabilistic outcomes shaped by dominant causal nodes.
- Classical mechanics: Emergent determinism from averaged Pareto-distributed causes.
- Relativity: Geometry governs the propagation of dominant causal influences.
No, classical mechanics isn't ``compatible'' with quantum mechanics, it's a limiting case of quantum mechanics. Quantum mechanics is the framework for describing the effects of quantum fluctuations.
The problem of describing how relativistic systems can be found in equilibrium with quantum fluctuations has been solved, for the systems that are gauge theories, with compact gauge group. It has not been solved for systems that are gauge theories, with noncompact gauge group. In these cases the noncompact gauge group makes sense only in the classical limit and the problem is understanding how to describe the symmetry properties, that lead to a noncompact gauge group in the classical limit. One example is gravity, where the gauge group is the group of diffeomorphisms of spacetime.
Regarding unification, there's a misunderstanding: Relativistic quantum field theory doesn't unify relativistic mechanics and quantum mechanics, it provides the framework for describing the quantum fluctuations of relativistic systems.
The Standard Theory of particle physics is a relativistic quantum field theory of the weak, electromagnetic and strong interactions, however it, still, treats the three interactions as distinct and how to unify them is, still, not known.
The Standard Theory of particle physics does describe probabilistic dynamics. Quantum mechanics is the framework for describing systems in equilibrium with quantum fluctuations. It would be a good idea to study it.
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