Loren Booda
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Will physics be first to attain unification, or has another branch of science already done so?
The discussion revolves around the concept of unification in science, particularly whether physics will be the first discipline to achieve it or if other fields have already done so. Participants explore various interpretations of "unification," its criteria, and implications across different scientific domains.
Participants do not reach a consensus on what constitutes unification or whether any field has achieved it. Multiple competing views and interpretations remain throughout the discussion.
Participants express uncertainty regarding the definitions and criteria for unification, and there are unresolved questions about the implications of simplification in mathematical systems. The discussion reflects a variety of perspectives on the nature of scientific theories and their interrelations.
hypnagogue said:Could you be more explicit about what you mean by "unification"? What criteria could we use to judge whether some field has attained "unification" or not?
Suppose I simplify the operation of multiplication of any two numbers out of an infinite set of possible operations, to the following rules:Loren Booda said:In mathematics (e. g., physics) is any system simplified without losing information?
Such a transformation in General Systems Theory is called a "homomorphism", when a many to one transformation, applied to the more complex system, can reduce it to a form that is isomorphic with the simpler. All systems can be thus simplified to a new form when its states can be grouped suitably to form a homomorphic system. A good introduction reference is by Ross Ashby, 1956, An introduction to cybernetics. I am no expert, but perhaps others are and can expand the idea that theory of unification can be derived mathematically from theory of cybernetics.Loren Booda said:One criterion for unification might be a transformation of the system, mathematically expressed, such that it acquires a greater simplicity relative to a subset of observers. Other subsets may necessarily (by conservation) perceive the system as more complex under the same transformation.
Loren Booda said:Will physics be first to attain unification, or has another branch of science already done so?