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. D

    Kinetic Theory - Mass on a piston

    Homework Statement A cylinder containing an ideal gas is in vertical position and has a piston of mass ##M## that is able to move up or down without friction (Fig. 13.2). If the temperature is increases, ...Fig (13.2) (a) both ##p## and ##V## of the gas will change. (b) only ##p## will...
  2. jedishrfu

    I Article on Quantum Bootstrapping and Geometric Theory Space

    Here's an interesting article from Quanta magazine: https://www.quantamagazine.org/20170223-bootstrap-geometry-theory-space/ and some backstory: https://en.wikipedia.org/wiki/Bootstrap_model
  3. Justice Hunter

    Writing a Script - Chaos Theory

    Hey everyone, So I'm writing the script for a Youtube show I'm making, and it's pretty heavy on the science/physics side in terms of exposition. So before i jump into what i want to ask let me just briefly explain the story. A Time traveler and his time traveling machine go back 30 years in...
  4. F

    MHB How to Prove a Set Theory Ordinal Relationship?

    Let $\beta$ be an ordinal. Prove that $A\cap \bigcup\beta=\bigcup\{A\cap X\mid X \in \beta\}$ I'm not sure on this. It looks a bit like union distributing over intersection. Please help.
  5. P

    I Query on basic mechanics of Special Theory of Relativity

    The Special Theory of Relativity is based on the observations of an outside observer on a system traveling at the speed of light. There is no single point of reference to determine speed. So speed is determined relative to another object. This being the case an Apple traveling at the speed of...
  6. FallArk

    MHB Find g: Solving a Set Theory Problem

    Find a function g from {0,1} to B\A such that f^-1(g(x)) = x +2 for x∈{0,1}. Present it in the 2-row form. A = {{1},2,3} and B = {∅,1,{2},3} I know that B\A = {∅,1,{2}} and f is a bijection from A to B\A how do I find such function g? It obviously can't be bijection, how do I match one value to...
  7. K

    B Is the theory of fractional-ordered calculus flawed?

    Let's talk about the function ##f(x)=x^n##. It's derivative of ##k^{th}## order can be expressed by the formula: $$\frac{d^k}{dx^k}=\frac{n!}{(n-k)!}x^{n-k}$$ Similarly, the ##k^{th}## integral (integral operator applied ##k## times) can be expressed as: $$\frac{n!}{(n+k)!}x^{n+k}$$ According...
  8. O

    Signals and Systems Theory Question

    Homework Statement [/B] How are we able to go from the first line to the second line and then the second line to the third? Homework Equations Euler Identity: e^j(theta) = cos(theta) +jsin(theta) The Attempt at a Solution This problem is more about preliminary theory in my opinion so I tried...
  9. K

    I Problems with the theory of inflation

    what is the current consensus on inflation, as recent article in SciAM https://www.cfa.harvard.edu/~loeb/sciam3.pdf the 3 authors are highly respected physicists in the field they conclusion inflation is internally inconsistent and inconsistent with best measurements from PLANCK CMB...
  10. B

    A Effective field theory in Srednicki's book

    Hi! I'm currently learning for my QFT exam with the book from srednicki (here as pdf: http://web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf) and I am trying to understand the chapter "Effective field theory" (p. 185 in the pdf above) He first introduces an ultraviolet cutoff Λ and then computes...
  11. N

    A Hologram theory and quantum physics = existential crisis

    Hello, here there are 2 things (one about hologramic universe and the other about a quantum physics test similar to the slit lamp. The first one is about the Bohm and Pibram as well as one about Alain Aspect 1982 study: articles about their theories...
  12. M

    A Representation theory of supersymmetry

    I had heard of adinkras but didn't realize that they were meant to play this role. Nor did I realize that the representation theory of supersymmetry is mathematically underdeveloped.
  13. N

    I Non linear interpretations of QM and string theory?

    Are interpretations that are non linear with respect to the wave function (eg. GRW, transactional) compatible with string theory?
  14. S

    Why is Newton's Ring Dark in the Center? Exploring Path Difference Theory

    Why the center of Newton's ring is dark? though I am thinking the path difference in the center is zero between two reflected rays... so,I will be glad if you give the correct information about that...
  15. N

    B What is the theory of gravitons

    Gravitons are particles believed to be the cause of gravity but can anyone tell me their principle and how they work
  16. M

    I Reciprocal lattice in connection with band theory

    I need details on this topic ,this is my assignment but my solid state physics is not so good,and don't know much about it but i have to do this assignment ,i have material on reciprocal lattice but for only including in assignment ,not for my understanding,so i directly need any material on...
  17. Math Amateur

    History History of the theory of modules ....

    Does anyone know of a book or web page that gives a history of the concept of a module and the history of modules in algebra ... i have not not been able to find a book that covers the history of modules nor a website ... Help will be appreciated... Peter
  18. Auto-Didact

    I Possibility Theory: Simplifying Uncertainty and Human Reasoning

    Anyone familiar with possibility theory and possibilistic analysis? I came across it during my own research on expert human reasoning/decision making. Here is a brief description of possibility theory from a recent article behind a paywall. As I see it, possibility theory offers a novel way...
  19. Mary curie

    B Is String Theory Real? | Get the Answer

    Hello everybody! I hope you are having a great day ! My question: is the strings theory a REAL theory ... is it really the final answer to the relationship between relativity and quantum mechanics! ? [emoji54]
  20. nomadreid

    I Bauer's Paradox in General Theory of Relativity?

    Has anyone heard of "Bauer's Paradox" in Einstein's working out his equations for General Relativity? The description I came across was extremely fuzzy (something about an expression for a certain tensor adding up to be zero when it shouldn't, or vice-versa), so I am looking for a better...
  21. R

    I Theory of Relativity: Light, Mass & Gravitational Lensing

    If light is pure energy, then how can gravitational lensing work? And if light has some mass, how can it change directions instantly when it is traveling through a prism? My high school science teacher had no answer 45 years ago.
  22. L

    A Is Group Operation in (G,*) Considered Composition in Mathematics?

    Is it mathematically correct to call any group operation in ##(G,\cdot)## composition?
  23. Jehannum

    I What does n ∈ f mean in set theory notation?

    I bought a maths book and have discovered it's somewhat above my level. In particular I'm confused about one bit of notation. I understand the "is a member of" operator when it takes a set as argument (e.g. n ∈ ℝ) but not when the book uses it with functions (e.g. n ∈ f) Does n ∈ f mean that...
  24. X

    (Number theory) Sum of three squares solution proof

    Homework Statement Find all integer solutions to x2 + y2 + z2 = 51. Use "without loss of generality." Homework Equations The Attempt at a Solution My informal proof attempt: Let x, y, z be some integers such that x, y, z = (0 or 1 or 2 or 3) mod 4 Then x2, y2, y2 = (0 or 1) mod 4 So x2 +...
  25. garylau

    Did this guy state something wrong about evolution theory?

    i have found one article state something like this:"""Any real evolution (macroevolution) requires an expansion of the gene pool, the addition of new genes (genons) with new information for new traits as life is supposed to move from simple beginnings to ever more varied and complex forms...
  26. unseeingdog

    I How are physics theories discovered?

    I often read about how famous theoretical physicists have made ground-breaking contributions to physics, but I always end up wondering how they are able to "discover" something that they have never seen or experienced. I believe that it has to do with the application of mathematical theories to...
  27. B

    B Why Special Relativity have overcome Ether Theory?

    My question is very simple. As far as I know, once upon a time there was the Lorentz Ether Theory. This theory admitted existence of so-called Ether as a certain preferred frame, which was undetectable because of physical contraction of moving material bodies in direction of their motion. In...
  28. P

    B Can Dark Matter Explain Black Holes and the Mysterious Planet-Nine?

    so, i love physics, and the more i look the more it seems our understanding of things are wrong. no planet #9, but now a mysterious planet-nine, dark energy, etc etc. so my question probably lies in theory, but getting close to applied physics. planet-nine, from what i have seen, the...
  29. F

    Counting degrees of freedom in field theory

    I'm having a bit of trouble with counting the number of physical ("propagating") degrees of freedom (dof) in field theories. In particular I've been looking at general relativity (GR) and classical electromagnetism (EM). Starting with EM: Naively, given the 4-potential ##A^{\mu}## has four...
  30. Kara386

    Group theory -- show H is a subgroup of O(2)

    Homework Statement Let ##R(\theta) = \left( \begin{array}{cc} \cos(\theta) & -\sin(\theta)\\ \sin(\theta)& \cos(\theta)\\ \end{array} \right) \in O(2)## represent a rotation through angle ##\theta##, and ##X(\theta) = \left( \begin{array}{cc} \cos(\theta) & \sin(\theta)\\ \sin(\theta)&...
  31. binbagsss

    A Quantum Field theory profound insight antiparticles

    Hi, I have recently began studying quantum field theory and have just seen how the quantization of the complex scalar field, noting that there is invariance of the action under a phase rotation shows the existence of antiparticles. I just have a couple of questions, apologies in advance if...
  32. A. Neumaier

    I Jaynes on probability in quantum theory

    This was off-topic in the thread on vacuum fluctuations where the quote appeared, so I opened a new one. I didn't know the paper before, so first need to read it...
  33. Chip

    A Unifying String Theory and SuSy

    It seems that the latest data out of CERN suggest a mass of the Higgs Boson that is smack in the middle of what would be suggested by parallel universes/string theory and SuSy. Do you think Edward Whitten, Savas Dimopoulos, and probably others could get together in a room to unify these two...
  34. binbagsss

    Quantum theory, show variation of S zero, integrate by parts

    Homework Statement Hi, Please see attached. I am trying to show the second equality , expressing all as a total derivative (I can then show that ##\delta S = ##) Homework Equations See above The Attempt at a Solution So the ## m ## term is pretty obvious, simply using the chain rule. It...
  35. Pyrus

    I Quantum Physicists Examine Orch Theory and Consciousness

    Orch theory explains consiousness of human brain as a quantum related phenomenon. These quantum processes occur in microtubules. But at this temperature quantum computation is not possible. So what is the perspective of quantum physicists on this theory.
  36. A

    I Bare QFT theory with cutoff and multi-particle state....

    Hi all, I was reading Arnold Neumaier's excellent article on the Vacuum Fluctuation Myth, and ran upon one part I have a question about: he notes that "in bare quantum field theory with a cutoff, the vacuum is a complicated multiparticle state depending on the cutoff – though in a way that it...
  37. S

    Cohesion in legislatures (game theory)

    Homework Statement Homework EquationsThe Attempt at a Solution I've got a feeling that the problem is either incomplete or unclear, because so far I've come up with nothing but vague ideas. If it is clear, then please let me know so this thread can be closed/deleted.
  38. Urs Schreiber

    Insights Why Higher Category Theory in Physics? - Comments

    Urs Schreiber submitted a new PF Insights post Why Higher Category Theory in Physics? Continue reading the Original PF Insights Post.
  39. A

    Fluid mechanics: Rigid column theory

    Hello Please see attached page from a textbook. Can someone explain why H = 4f.le.vo^2/2d.g and why delta H is given by the expression in the book? Note that the figure it mentions is on the top of the page. I have tried for days here. Thanks
  40. S

    A Applying group theory to multivariate eqs

    Are there any good examples of how group theory can be applied to solve multivariate algebraic equations? The type of equations I have in mind are those that set a "multilinear" polynomial (e.g. ## xyz + 3xy + z##) equal to a monomial (e.g. ##x^3##). However, I'd like to hear about any sort...
  41. J

    Quantum Quantum Field Theory books for undergraduates

    Hello, I would appreciate it if someone would suggest some Quantum Field Theory books that an advanced undergraduate could read. Thank you!
  42. haushofer

    A Problems with quantizing branes in string theory

    Dear all, recently I'm reading up some string/M-theory, especially the role of branes, because I'm writing a popular science book in Dutch. Every textbook states the issues one encounters when you try to quantize p-branes for p>1, as is discussed e.g. here...
  43. Narasoma

    I Lorentz invariance of quantum theory

    I read Lucien Hardy's paper whose tittle was "Quantum Mechanics, Local Realistic Theories, and Lorentz Invariant Relativistic Theories". There, he argued that lorentz invariant observables which involved locality assumption contradict quantum mechanics. I tried to follow his argument, but got...
  44. V

    Time Dilation on a Spaceship: Observing Earth's Clock at High Speeds

    Homework Statement If someone on a spaceship looked at a clock on Earth traveling at 99.5% the speed of light what would they notice? Homework EquationsThe Attempt at a Solution Would they notice that time is faster on earth? Is my assumption correct
  45. K

    I Can string theory reproduce Hawking radiation in non-extremel black holes in 4D?

    can string theory reproduce hawking radiation in non-extremel black holes in 4D? i.e physically realistic black holes. do they exactly match hawking's calculations? what is the interpretation of hawking radiation in string theory?
  46. G

    Geometry What would a textbook on measure theory be called?

    I was quite distraught knowing that chegg.com has no textbook solutions for "measure theory" even though it has four for abstract algebra. Could it be that the textbooks are called something else?
  47. L

    I Why do we need perturbation theory

    Why do we need perturbation theory in quantum mechanics?
  48. Luca_Mantani

    Quantum Book on Quantum Field Theory for PhD

    Hi all. I am looking for a book in Quantum Field Theory, not for the first read. I have already studied it for university purpose, but now i would like to study the subject again from a book to cover holes and have a deeper understanding before starting a possible PhD. I heard about Srednicki...
  49. E

    MHB Proving Existence of Surjective Function F from P(N)\N to P(N)

    I'd really like some help in answering the next question...anything that might help will save my life: F is defined this way: F:A→B where A,B⊂P(N) and P(N) is the power set of the naturals. Let S,R∈A such that S is a proper subset of R if and only if F(S) is a proper subset of F(R) My question...
  50. arivero

    Exploring the Scientific Accuracy of Whiteboards in The Big Bang Theory

    Any pointers about where to get information and perhaps pictures of the different whiteboards shown in Big Bang Theory? I am particularly interested on the season where Sheldon abandons string theory; the boards for this chapter (155, season 7 ep 20, aired 10th April 2014) seem to show some...
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