Similarly, are there books and articles on examples of generalization in physics?
Physics Generalization Resources.
يمان الحيصه
Are there books and articles on the role of generalization in physics?
Yes, there are many books and articles on the role of generalization in physics.
In physics, generalization refers to the process of extracting general principles and laws from specific observations and experiments. Generalization is a crucial aspect of scientific inquiry, as it enables scientists to make predictions about phenomena beyond what has been directly observed or measured.
Some books that discuss the role of generalization in physics include:
"The Character of Physical Law" by Richard Feynman
"The Nature of the Physical World" by Arthur Eddington
"The Structure of Scientific Revolutions" by Thomas Kuhn
"The Principia: Mathematical Principles of Natural Philosophy" by Isaac Newton
There are also many articles on this topic, published in scientific journals such as Physical Review Letters, Physical Review X, and Reviews of Modern Physics. Some examples of articles on the role of generalization in physics include:
"Emergent Phenomena and the Complexity of Generalization in Quantum Mechanics" by K. O. Stanley and R. Miikkulainen
"A New Approach to Generalization in Deep Reinforcement Learning" by J. Achiam and D. Held
"Generalization of the Quantum Adiabatic Theorem" by J. A. Jones and M. Mosca
"Quantum Generalizations of Network Theory" by G. Adesso and D. Girolami
These resources provide insights into how generalization is used in physics and its importance in scientific inquiry.
Yazen Alawaide
Thank you for your detailed helpful and insightful reply.
I have copies of books you refer to by R. Feynman, A. Eddington, T. Kuhn and I. Newton, and you helpfully observe that in those works the role of generalization in physics is considered.
Feynman’s Lectures also have a few paragraphs about generalization: section 22–3 Abstraction and generalization.
On heuristics in mathematics, Polya’s books are helpful.
Your answer prompted me to add to your list E. Mach on The Science of Mechanics, and K. Pearson on the Grammar of Science. There are several other books similar to those. Many thanks.
Regards.
Physics without Metaphysics? Categories of Second Generation Scientific Ontology, 2015
Causal Ubiquity in Quantum Physics: A Superluminal and Local-Causal Physical Ontology, 2014
Gravitational Coalescence Paradox and Cosmogenetic Causality in Quantum Astrophysical Cosmology, 2018
In all of them you will find many detailed conceptual generalizations in physics and mathematics. Of course, discussed philosophically. They were written by me.
“…Are there books and articles on the role of generalization in physics?…”
- since in the mainstream physics all really fundamental phenomena/notions, first of all in this case “Matter”– and so everything in Matter, i.e. “particles”, “fields”, etc., including “wavefunction”, “Consciousness”, “Space”, “Time”, “Energy”, “Information”, always were/are till now fundamentally completely transcendent/uncertain/irrational,
- in the mainstream physics there cannot be fundamentally any real “generalization in physics”, though, say, attempts to develop general “Grand Theory of Everything” were/are rather numerous; , and so really there cannot be, and are, no books and articles on the role of generalization in physics. The listed in the “Physics Generalization Resources” in the Yazen Alawaideh post above books, etc., really contain in better cases only some rational formulations of only some points in the “generalization problem”,
- and, since the authors were/are mainstream scientists, logically inevitably mostly only some transcendent, mostly vague, and sometimes erroneous, thoughts of the authors that relate somehow to this problem.
Real “generalization of physics” fundamentally is possible only if the fundamental phenomena/notions above are really scientifically defined, what is possible, and is done, only in framework of the 2007 Shevchenko-Tokarevsky’s “The Information as Absolute” conception, recent version of the basic paper see
https://www.researchgate.net/publication/363645560_The_Information_as_Absolute_-_2022_ed
- and the SS&VT informational physical model, which is based on the conception; the couple of main papers are
https://www.researchgate.net/publication/354418793_The_Informational_Conception_and_the_Base_of_Physics, and
https://www.researchgate.net/publication/355361749_The_informational_physical_model_and_fundamental_problems_in_physics.
Correspondingly in the model the “physics generalization problem” is essentially clarified. First of all it is rigorously scientifically shown that the Matter’s ultimate and ultimately general base is the Matter’s aether – primary elementary logical structures – (at least) [4+4+1]4D binary reversible fundamental logical elements [FLE], which compose the (at least) [4+4+1]4D dense lattice that is placed in the Matter’s fundamentally absolute, fundamentally flat, and fundamentally “Cartesian”, (at least) [4+4+1]4D spacetime with metrics (at least) (cτ,X,Y,Z, g,w,e,s,ct),
- and so any real generalization of physics can be, and hope will be, only when what exists and happens in Matter on really fundamental level will be considered on the Planck scale basing on the model above. An example of generalization of the fundamental Nature Gravity, Electric, and Nuclear forces see the SS&VT 2007 initial model of Gravity and Electric Forces in
https://www.researchgate.net/publication/365437307_The_informational_model_-_Gravity_and_Electric_Forcesand
2023 initial model of Nuclear Force” in
https://www.researchgate.net/publication/369357747_The_informational_model_-Nuclear_Force
- where, including, it is shown that with a well non-zero probability all 3 these Forces on Planck scale act by the unique general scheme.
Cheers
Each book on the issue of generalization ,as far as I have been involved with books and publishers , elucidates "generalization" only within the field the book is devoted to . A book on , say ,Magnetism finds no cause to explain generalization as far as , say , Gravitometry or QFT are concerned ...........
Dear Robert Shour
You ask: "Similarly, are there books and articles on examples of generalization in physics?"
Yes there is at least one article.
Sections 2.12 onwards analyzes the generalization ability in general, and Section 2.27 specifically deals with generalization in relation with mathematical physics.
Article Advancement on the Mechanics of Conceptual Thinking (Republication PI)
Best Regards, André
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