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.
Hello! What makes a theoretical model stand out compared to others. I was thinking about the Higgs mechanism and the fact that there were quite a lot of other models (proposed in the 60's-70's) to explain symmetry breaking, which (I assume based on the fact that they got published) were...
Homework Statement
##\mathbf A##.Joules heating
Consider a metal in a uniform temperature in a static uniform electric field E.An electron experiences a collision, and then after a time t, a second collision. In the drude model , Energy is not conserved for collisions, for the mean speed of an...
[Moderator's note: This thread is spun off from another thread since it was dealing with a more technical point that is out of scope for the previous thread. The quote that starts this post is from the previous thread.]
I feel the same about transformations of Dirac matrices and Dirac field...
What is the best theory why our vacuum may be in the edge of metastability?
Is it possible there are many false vacuum separated by energy barriers and the reason why our vacuum may be metastable is so that it is easier to cross the different false vacua (not necessarily to the true vacuum)?
I believe this could be interesting to many people here who are interested in quantum theory but are not (yet) professional physicists:
http://lanl.arxiv.org/abs/1803.07098
The theory of electroweak temperature says that when you have a plasma of particles at energy above the electroweak phase transition (100 GeV). The Higgs field would turn from nonzero vev to zero and the electroweak forces would unite and the electroweak bosons would become massless.
What...
Hello! I am reading some things about representation theory for SU(n) and I want to make sure I understand it properly. I will put an example here and explain what I understand out of it and I would really appreciate if someone can tell me if it is right or not. So for SU(2) we have ##2 \otimes...
I'll start by saying I'm posting this in Beyond the SM just because we have no elementary spin-3/2 particles in the SM as far as we know, though I was also considering posting it elsewhere. If you feel it's more appropriate in another area just let me know.
As for the question itself, I'd like...
I calculated the energy density of capillary waves with Debye method (pretty much Debye model in 2D), and I assumed there is a frequency cutoff for capillary waves as well. However, when I checked my work with solution I was quite surprised that the solution suggests there is no such a cuttoff...
Homework Statement : [/B]This is a general conceptual doubt, not a numerical based doubt. We were taught that when an electron(or any charged particle) moving with uniform velocity enters a magnetic field(perpendicular to its direction of motion), then a force acts on the electron which makes it...
In his second lecture of the QED series (see below), Prof. Richard Feynman explains the phenomenon of reflection from a plane mirror, and then the working of a diffraction grating with his theory of arrows (probability amplitudes), and we see that how the new theory, which is much moved from the...
Can someone at least gives a summary of the constrains in the E8xE8 heterotic superstring theory? Many sources are mostly outdated that was written decades ago when not much research were done yet in superstring theory. So is E8xE8 already refuted? Or to what degrees and what constrains? I need...
By "The Force" I mean from "Star Wars".
https://aeon.co/essays/cosmopsychism-explains-why-the-universe-is-fine-tuned-for-life
The author seems to say that the Universe is an active sentient agent that has fine-tuned itself so as to make the fundamental forces of nature be such as to allow for...
The Godel theorem shows that the standard Peano axiomatization or arithmetic is undecidable. However, there is an alternative Presburger's axiomatization of arithmetic, which is decidable.
Similarly, the standard ZFC axiomatization of set theory is undecidable. For instance, the continuum...
Hello,
I have begun to teach myself Control Theory.
I am looking for a book that is focused for mechanical engineers. I do not mind examples in electrical engineering, but they bore me (no offense).
Also, I find some books begin with Laplace Transforms. Yet I found this online lecture...
So if string theory is to be correct it must be able to come up with the observed value for the energy density of empty space which is pretty close to zero?
A naive understanding of the compact spaces of string theory tells me that an "energy audit" of the highly curved compact manifolds of...
Homework Statement
Derive, using the canonical commutation relation of the position space representation of the fields φ(x) and π(y), the corresponding commutation relation in momentum space.Homework Equations
[φ(x), π(y)] = iδ3(x-y)
My Fourier transforms are defined by: $$ φ^*(\vec p)=\int...
Hi!
Can anyone recommend a good introductory book for measure theory? I've found Terence Tao's online book to be a good start, but would I be asking too much if I wanted something even more introductory?
Ultimately I'm working toward Ergodic theory (and probability theory along the way) with...
Hello, everyone! My name is Hannah Taylor and this is my first time contributing to a forum so bear with me while I figure everything out. In the meantime let me share a few facts about myself with all of you.. I was born and raised in a small village called Cowden, we have about 650 people &...
I am practicing for my math exam next week and I came across this problem:
A set has 200 elements in it. It is partitioned into three subsets so that the second and third subsets have the same number of elements. If four times the number of elements in the second subset is three times as many...
Greg Bernhardt submitted a new PF Insights post
Mathematical Quantum Field Theory - Interacting Quantum Fields
Continue reading the Original PF Insights Post.
I have been reviewing GR lately because as a mentor I find myself now answering more of those questions. I learned GR years ago from Wald and other sources, but since then have been exposed to the symmetries of the Standard Model. What struck me during this review is I now have a different...
Hi. Maybe you can help me clarify the ideas a little. I've put in google the following.
rebuilding.quantum
It seems that there are scientists interested in founding quantum theory on bases that harmonize with simple criteria.
After more than 100 years of elaborating and debugging quantum...
Hi,
I was watching a really interesting old video from Richard Feynman who was talking about how precise/accurate the predictions of quantum theory agree with observation. The number of decimal places it agrees he said is astounding. He likened it to measuring the circumference of the Earth to...
Hello everyone.
I have a question about the fact that there is no drag in the thin airfoil theory. I have read that it comes from inviscid and incompressible flow (potential flow) but what i can not understand is why there would be no drag from pressure differences ?
The skin drag is of course...
http://arxiv.org/abs/1801.04083
UV completion of a theory of Superfluid Dark Matter
Andrea Addazi, Antonino Marciano
(Submitted on 12 Jan 2018)
We show that a model of superfluid dark matter, modifying the Newtonian potential and explaining galactic rotational curves, can be unitarized by the...
There is a relationship between each of the mathematical values in each of the paradoxes with regard to each observers. There is obviously also a relationship between every situation we study in the Special Theory of Relativity. The Lorentz Transformations obviously prove this. So, I began to...
Greg Bernhardt submitted a new PF Insights post
Mathematical Quantum Field Theory - Free Quantum Fields
Continue reading the Original PF Insights Post.
I'm currently applying for grad schools in string theory with an interest in AdS/CFT but am open to fundamental formalisms in string theory. I was trying to decide on a few universities to apply to. I am currently considering University of California Davis and University of Illinois Urbana...
This is probably extremely wrong I just want to know how. If photons don't experience time doesn't that mean they are every where at once, and if that is true doesn't part of quantum physics say before a particle is observed its in all the states it can be in? So doesn't that apply in that sense...
So in string theory at each point of Minkowski spacetime we might have a 3 dimensional compact complex
Calabi–Yau manifold? We can have curved compact spaces without complex numbers I assume, what is
interesting or special about complex compact spaces?
Thanks!
A scalar field theory with potential $$V(\phi)=-\mu^2\phi^2+\lambda \phi^4$$ is spontaneously broken and as a consequence, for the ground state, $$\langle \phi(x) \rangle \neq 0$$.
However, the path integral, which should give ground state expectation values, looks to be zero by oddness of the...
Suppose we want to solve the Hamiltonian ##H=H_0+\lambda V## pertubatively. Let ##E_1,...,E_n## be the eigenvalues of ##H_0## and ##S_1,...,S_n## the eigenspaces that belong to them.
In order to do that, one usually choses an orthonormal Basis ##|\psi_{i,j}>## of each ##S_i## with the property...
<< Mentor note -- posts broken off from an Insights comment thread >>
Ok, this is where I show my ignorance, but all this is theoretical and why I get lost with these academia discussions. Time is just a mathmatical construct to measure the motion of two or more objects relative to each other...
Einstein's theory states that curvature of space (created by a celestial body around itself) determines the orbital path of other celestial bodies around it within that curved space by a constant lateral force acting towards the centre upon that revolving body. Then why is that a similar force...
I wondered if anyone might know of any open access materials, possibly lecture notes, on the content of the following papers or books.
P.A.M Dirac, 1950, Can. J. Math. 2,147 "Generalized Hamiltonian Dynamics"
P.A.M Dirac, 1933, Proc. Camb. Phil. Soc., 29, 389 "Homogenous variables in classical...
I just finished reading Walter Isacson's Einstein. I note that Einstein's motivation for Special Relativity was the constant speed of light as shown by Michelson and Morley, and his motivation for General Relativity was the equivalence of gravity and acceleration as experienced, for example, in...
Ten mutually distinct non-zero reals are given such that for any two, either their sum or their product is rational. Prove that squares of all these numbers are rational.
I tried using 3 of those numbers - a, b and c. And I checked each of the possible situations but I'm not sure if my maths...
Hi,
I have a blog oriented on computational physics: https://compphys.go.ro For many posts I have a GitHub project. Lately I started some DFT oriented ones, the latest being a DFT (with plane waves basis) project for a 'quantum dot'.
Currently I started working on a project that will use the...
What are the books that speak about string theory you would suggest me?
And the book against this theory?
(I'm an undergraduate physics student)
Thanks!
Homework Statement
i am stuck on part d , see below
Homework Equations
parts a to c are fine
polyakov action:
## \frac{1}{2} \int \frac{1}{e(t)} \frac{dX^u}{dt}\frac{dX_u}{dt}-m^2 e(t) dt ##
EoM of ##e(t)##:
##\frac{-1}{(e(t))^2} \frac{dX^u}{dt}\frac{dX_u}{dt}-m^2=0## [1]you plug the EoM...
Why does max tegmark's and brian greene's levels of multiverses consider as the highest level the mathematical multiverse hypothesis if other authors like David Lewis consider that there could be also universes non described by maths? Why does it stop at level iv (mathematical universes...
"There are various theories about how the solar system formed, but scientists haven't been able to agree on a single model that explains all the quirks of our corner of space as it exists today. Now, scientists at the University of Chicago have...
Homework Statement
The time (minute) that it takes for a terrain runner to get around a runway is a random variable X with the tightness function
fX = (125-x)/450 , 95≤x≤125
How big is the probability of eight different runners, whose times are independent after 100 minutes:
a) Everyone has...