What is Theory: Definition and 1000 Discussions

A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with such processes as observational study or research. Theories may either be scientific or other than scientific (or scientific to less extent). Depending on the context, the results might, for example, include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several related meanings.
In modern science, the term "theory" refers to scientific theories, a well-confirmed type of explanation of nature, made in a way consistent with scientific method, and fulfilling the criteria required by modern science. Such theories are described in such a way that scientific tests should be able to provide empirical support for it, or empirical contradiction ("falsify") of it. Scientific theories are the most reliable, rigorous, and comprehensive form of scientific knowledge, in contrast to more common uses of the word "theory" that imply that something is unproven or speculative (which in formal terms is better characterized by the word hypothesis). Scientific theories are distinguished from hypotheses, which are individual empirically testable conjectures, and from scientific laws, which are descriptive accounts of the way nature behaves under certain conditions.
Theories guide the enterprise of finding facts rather than of reaching goals, and are neutral concerning alternatives among values. A theory can be a body of knowledge, which may or may not be associated with particular explanatory models. To theorize is to develop this body of knowledge.The word theory or "in theory" is sometimes used erroneously by people to explain something which they individually did not experience or test before. In those instances, semantically, it is being substituted for another concept, a hypothesis. Instead of using the word "hypothetically", it is replaced by a phrase: "in theory". In some instances the theory's credibility could be contested by calling it "just a theory" (implying that the idea has not even been tested). Hence, that word "theory" is very often contrasted to "practice" (from Greek praxis, πρᾶξις) a Greek term for doing, which is opposed to theory. A "classical example" of the distinction between "theoretical" and "practical" uses the discipline of medicine: medical theory involves trying to understand the causes and nature of health and sickness, while the practical side of medicine is trying to make people healthy. These two things are related but can be independent, because it is possible to research health and sickness without curing specific patients, and it is possible to cure a patient without knowing how the cure worked.

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  1. Viona

    Time-dependent Perturbation Theory

    I was reading in the Book: Introduction to Quantum Mechanics by David J. Griffiths. In chapter Time-Dependent Perturbation Theory, Section 9.12. I could not understand that why he put the first order correction ca(1)(t)=1 while it equals a constant.
  2. T

    A QFT with vanishing vacuum expectation value and perturbation theory

    In This wikipedia article is said: "If the quantum field theory can be accurately described through perturbation theory, then the properties of the vacuum are analogous to the properties of the ground state of a quantum mechanical harmonic oscillator, or more accurately, the ground state of a...
  3. D

    A Graviton propagator in Horndeski theory

    Let ##\phi## be a scalar field and ##g_{\mu \nu} = \eta_{\mu \nu}+h_{\mu \nu}/M_p## where ##M_p## is the Planck mass (so we assume we deal with perturbations). Let ##\Lambda_2,\Lambda_3## be energy scales such that ##\Lambda_2 \gg \Lambda_3##. These are defined by ##\Lambda^2_2 = M_p H_0## and...
  4. S

    A Any model or theory in physics akin to "Law without law"?

    When trying to explain from where did all the laws come from, John Wheeler proposed the anaphorism of "Law without law". He proposed that at the "beginning" there were no laws whatsoever, only pure chaos, and that they emerged from randomness and chaos when our universe was created. In his own...
  5. topsquark

    Quantum Looking for a good String Theory text

    (Sorry about writing a book! But I felt more information was the better mistake.) Okay, here's the deal. I have been teaching myself Physics and Math beyond my MS in QFT. I have been doing this for the last 20 or so years and I've gotten reasonably decent at it but String Theory is a bit...
  6. DaTario

    I A problem with a figure related to band theory

    Hi, All. In searching for images related to the introduction of band theory in solid sate physics I found this one: I would like to ask you if I am correct in thinking the increase in the number of splittings (in b) is misleading to students. Thank you all DaTario
  7. Thytanium

    A Radial Excess Calc: GR, 4πGρ & R00

    Which is the mathematical procedure to obtain ##\delta r = \frac{GM}{3c^2}## from ##\nabla^2 V = R_{00} = 4\pi G\rho## where ##\nabla^2 V## is volume contraction of a spherical mass of density ##\rho## and ##R_{00}## is the 00 component of Ricci tensor ##R_{ij}##?
  8. M

    I Energy shifts in time dependent perturbation theory

    Hello! I saw in many papers people talking about the effects of a time dependent perturbation (usually an oscillating E or B field) on the energy levels of an atom or molecule (for now let's assume this is a 2 level system). Taking about energy makes sense when the hamiltonian is time...
  9. M

    Game theory: competitive auction for the money in a chest

    Hi, I am back yet again with another problem I was reading the following question and attempting it. It was an interview problem, so it isn't technically homework, but I don't know where else to post it. I think there are elements of game theory involved, but I have no academic background in...
  10. TheHeraclitus

    I String theory in 4 dimensions?

    Non-critical string theory, on Wikipedia it says: Has it been experimentally disproven or are other reasons for its apparent obscurity?
  11. M

    Game theory: dice game to aim for sum no greater than 9

    Hi, I was attempting the following question and would appreciate any insight on how others would approach this game theory/probability-type question. Question: You have been chosen to play a game involving a 6-sided die. You get to roll the die once, see the result, and then may choose to...
  12. TheHeraclitus

    I Is Supersymmetry required by String theory?

    From what I understood Supersymmetry means there are more particles than we currently know about and they are predicted by (some/all, I do not know) versions of String theory. Is it so important to String theory or can it work without SUSY? Thank you!
  13. TheHeraclitus

    I Bohmian mechanics and String theory

    Is it easy to combine them or impossible? Is there a tension due to the non-locality found in Bohmian mechanics? Thank you!
  14. Leo Liu

    Discussing Insurance, Risk Tolerance and Game Theory

    The title is my question, and this post is meant to be a place for discussions. I think it is somewhat related to game theory and microeconomics, but I am not sure how to accurately categorize it. Let me give you an example. Let us suppose that Mr. Goose, an ideal person with a national average...
  15. E

    A Some basic questions about effective field theory (EFT)

    I had been studying this topic from various textbooks and review articles and I am confused about some terminologies and concepts. The question I have typed in this PDF. [Mentor Note -- Added screenshot of PDF contents]
  16. S

    Nobel laureates for and against string theory?

    According to Michio Kaku, Nobel laureates have taken both sides towards string theory since some of them accept it and some of them reject it, as he says here (https://www.snowboundbooks.com/book/9780385542746): “Kaku also explains the intense controversy swirling around this theory, with...
  17. H

    A Is ADS Theory a Quantum Theory? Hawking's Bet and the ADS/CFT Equivalence

    I read that he admitter having lost his bet with Preskill when he discovered the ADS/CFT equivalence. I can understand that because CFT is a quantum theory in which evolution is unitary (but there is the problem of measurements). so the black holes can be described with unitary tools. On...
  18. A

    I References for Hamiltonian field theory and Dirac Brackets

    I'm looking for complete and detailed references on constrained Hamiltonian systems and Dirac brackets. While my main interest is electrodynamics, I would prefer a complete exposition of the theory from the ground up. So far, my knowledge about the topic comes from books in QFT, like Weinberg...
  19. P

    A Is wave-matter duality a proven theory?

    The observed diffraction patterns in slit experiments are held up as proof of wave-particle duality. But wave theory diffraction (borrowed from optics - Kirchoff's Laws, Fresenel & Fraunhofer diffraction) don't quite fit the experimental results. There is always some tinkering to get theory to...
  20. ShellWillis

    I Exploring the Next Generation of Set Theory: A Discussion on an Intriguing Paper

    https://www.cs.bham.ac.uk/~mhe/papers/omniscient-journal-revised.pdf Might be my favorite article I’ve ever came across I would like to see some interpretations on it to broaden my currently very narrow point of view… Have fun! -oliver
  21. Hallucinogen

    I Common features of set theory and wave functions?

    I would like to know if any of you think there's any sort of connection, analogy, or common features between, sets in set theory and wave functions in QT? Wave functions lack trajectories, so do sets. Wave functions also distribute over areas, as sets can do. To my understanding, wave...
  22. A

    I Perturbation theory with two parameters?

    Hello, I am looking for a reference which describe perturbation theory with two parameters instead of one. So far, I did not find anything on the topic. It might have a specific name and I am using the wrong keywords. Any help is appreciated. To be clear, I mean I have ##H =...
  23. samantha_allen

    Courses Should I take a group theory course before QFT?

    I know that studying QFT requires understanding Lie Groups and infinitesimal generators as they correspond to symmetry transformations. I want to study or take a course (offered by my university) in QFT in the coming academic year and I have the option to take a abstract algebra course offered...
  24. D

    I Morse Theory & Lagrangian Mechanics: Is There a Connection?

    I read somewhere that Morse originally applied his theory to the calculus of variations. I'm wondering, is this application useful in physics and mechanics, like maybe it sheds light on lagrangian mechanics? Does anyone know?
  25. rudransh verma

    What is a theory and how does it relate to the universe?

    I was reading brief history of time by hawking and there I stuck on this line “A theory is a model of universe or a restricted part of it and a set of rules that relate quantities in the model to observations we make.” What is it saying? Please elaborate. What are rules and quantities ? Also...
  26. Huzaifa

    B Understanding Galileo's Theory of Acceleration

    I am not able to understand the following paragraph from my Physics textbook; "The velocity of an object, in general, changes during its course of motion. Should it be described as the rate of change in velocity with distance or with time? This was a problem even in Galileo's time. It was first...
  27. pinball1970

    Critical thinking skills and belief in conspiracy theory

    This is the article. This is not the usual sort of study I read but given the last 16 months, I thought I would post and see what pf guys thought of the method and conclusions. The line of best fit in the results seemed a bit random to me but let's see what you make of it...
  28. M

    A MOND Theory Primer: Stacy McGaugh's Research Program Explored

    The astronomer Stacy McGaugh has become the most prominent public promoter of MOND (modified Newtonian dynamics) in recent years, on the grounds that it makes many successful predictions, yet according to the standard "LambdaCDM" (dark energy plus cold dark matter) paradigm, there's no reason it...
  29. B

    Sudoku solver by graph coloring theory

    Hello everybody! I have to implement a sudoku solver in C ++ taking advantage by graph coloring theory, where each number to insert is a color of the associated graph node. In particular I would like to use the Welsh-Powell algorithm. I find myself in trouble starting with this project and I...
  30. A

    DMD is better without Ergodic Theory and Koopman Operators

    Hello everyone! This is my first post here. I am trying out an argument that I've been sculpting, and I thought this might be a good community where I can get some good feedback. My work is in data driven methods for dynamical systems, and in particular, I am an operator theorist. I have been...
  31. Paulpaulpa

    Spacetime translations and general Lagrangian density for Field Theory

    In Sydney Coleman Lectures on Quantum field Theory (p48), he finds : $$D\mathcal{L} = e^{\mu} \partial _{\mu} \mathcal{L}$$ My calulation, with ##\phi## my field and the variation of the field under space time tranlation ##D\phi = e^{\mu} \frac{\partial \phi}{\partial x^{\mu}}## ...
  32. Ferdel

    Max Height and Distance of Projectile: Theory & Simulation

    How can i find the angle that a projectile is fired where the maximun height is the same as the traveling distance? I need to find this first in a theoretical way, then i need to confirm this with a simulation. And i need to use only this y=yo+Voyt+1/2gt^2 x=Voxt
  33. yucheng

    Purcell EM Problem 1.2: Theory Behind Numerical Solution?

    The author start of with $\frac{1}{(y+\sqrt{3})^2} - 2 \cdot \frac{1}{1 + y^2} \left( \frac{y}{\sqrt{1+y^2}} \right) = 0$ and arrives at the equation $y = \frac{(1+y^2)^{3/2}}{2(y+\sqrt{3})^2}$ The solution is merely by iterating (use an initial guess value of y, calculate the RHS, then use this...
  34. E

    A Non-Linear Theory: Summation Meaningful in Einstein Gravitation?

    In the famous book, Gravitation, by Misner, Thorne and Wheeler, it talks about the stress-energy tensor of a swarm of particles (p.138). The total stress-energy is summed up from all categories of particles. Is summation meaningful in the non-linear theory of Einstein gravitation? Thanks.
  35. D

    Any recommendations for good resources for learning Galois Theory?

    Summary:: recommend learning materials Although I took galois theory as an undergraduate, I never really studied it. Any recommendations for good resources?
  36. bhobba

    I Lorentz Ether Theory: History & Explanation

    This is purely a historical question that came up in another thread. I always thought LET was the theory put forward by Lorentz that said the Lorentz-Fitzgerald formula contracts objects moving through the aether. Clocks slowed down due to a shortening of their components. Light was an...
  37. S

    I Special Theory of Relativity & Conservation of Mass

    Does the law of conservation of mass fail to meet the first postulate of the special theory of relativity(the laws of physics are the same in all inertial frames of reference)?
  38. L

    What is the current understanding of Freud's theories in modern psychology?

    Hi everyone! I’ve just discovered Freud‘s theory's, how fascinating! I was searching the web for information on narcissism and stumbled across this. I’ve got a lot of issues from my childhood and have had little help from the mental health sector, not for the lack of trying. I truly believe we...
  39. X

    Proper Lorentz transformations from group theory?

    Hi, I was looking at this derivation https://en.wikipedia.org/wiki/Derivations_of_the_Lorentz_transformations#From_group_postulates and I was wondering 1- where does the group structure come from? The principle of relativity? or viceversa? or what? 2- why only linear transformations? I remember...
  40. S

    Nobel laureates supporting string theory?

    Are there any living Nobel laureates in physics (apart from David Gross, François Englert and perhaps Gerard 't Hooft and Steven Weinberg) who have made research in string theory or at least find it attractive?
  41. DT21

    Calorimetric Theory Discrepancy

    When solving "coffee cup calorimeter" problems, you're supposed to include the solute mass with the mass of your solution. However, you're also supposed to assume that dilute solutions have the same density and heat capacity as water. So if I add 5g of NaOH to 500g of water, the solution...
  42. T

    A Unsolved problems in number theory and news about them

    Hello people of physicsforums. Has anyone proved these problems in number theory :Riemann hypothesis, Goldbach conjecture, twin primes conjecture, infinitude of prime numbers? If you want make discussion about them. Thank you for allowing me participate in physicsforums and for wanting to make...
  43. D

    A BRST operator Q in string theory and string field theory

    In string theory, physical states satisfy QBΨ = 0, where QB is the BRST operator. This equation of motion can be obtained from an action S = ∫ QBΨ*Ψ + Ψ*Ψ*Ψ There is a gauge invariance under δΨ = QBΛ. what is the framework in which the role of the BRST operator QB is understood in open string...
  44. K

    A Introduction to topological field theory?

    Hi! I have been looking at differential forms, manifolds and de Rham cohomology. Now I'm trying to figure out the connection from cohomology and equations of motions and topological field theory. Problem is that I am only looking at abelian field theories and I only find introductions into...
  45. P

    Thermodynamics problem (ideal gas law, kinetic theory, processes, etc.)

    It is a long problem, but it is simple to understand. I am having trouble with part A. My attempt: Pressure outside > pressure inside container. pV = constant (isothermal). At equilibrium, all gases are at atmospheric pressure. Because it is quasi-static, the pressures of both compartments are...
  46. snypehype46

    Computing the spectrum of a Lagrangian in field theory

    I have the following lagrangian density: $$L = \bar{\psi}i \gamma^\mu \partial_\mu \psi - g\bar{\psi}(\sigma + i\gamma^5\pi)\psi + \frac{1}{2}(\partial_\mu \sigma)^2+ \frac{1}{2}(\partial_\mu \pi)^2 -V(\sigma^2 + \pi^2)$$ where $\pi$ and $\sigma$ are scalar fields. I have show that this...
  47. A

    Analysis Prerequisites Measure theory for ug student in physics

    Hi, I would like to know if an undergraduate student in physics could be able to study measure theory in order to have a better understanding of the probability theory and go further in this way (stochastic process) ? Assuming a first year of calculus and the level of "Mathematical methods in...
  48. StenEdeback

    I Good introductory book for chaos theory?

    Hi, I have undergraduate level knowledge about mathematics, quantum physics, and general theory of relativity. Now I am curious about chaos theory, and I would be grateful for suggestions of good introductory books to chaos theory. They may be both introductory and a bit more advanced.Sten Edebäck
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