Fundamental Definition and 907 Threads

  1. T

    Why is the Higgs Field not considered a fifth fundamental force?

    Why exactly is it that the Higgs field is not considered a fundamental force? Since the Higgs Boson has been confirmed would that not make it a force as it's presence has been confirmed by the discovery of the boson for the field?
  2. J

    Fundamental theorem of calculus for surface integrals?

    Hellow! A simple question: if exist the fundamental theorem of calculus for line integrals not should exist too a fundamental theorem of calculus for surface integrals? I was searching about in google but I found nothing... What do you think? Such theorem make sense?
  3. S

    Photon vs other fundamental particles - decoherence

    1. What (property) makes a photon less likely to decohere/(entangle with the environment) relative to other "fundamental" particles (non leptons?) such as an electron?...say during single particle interference experiment Photon single particle interference can done without the need for a...
  4. MarkFL

    MHB Solve Derivative of Integral with F(x) - SnowPatrol Yahoo Answers

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  5. M

    Fundamental Frequency of a nano scale oscillator (graphene)

    Hi everyone, long time lurker, first time poster. I've just begun a phd which involves nanoribbons (a small strip of a 2D material connected at either end to a larger 'bulk' section of the same 2D material). A question has occurred to me. These nanoribbons look a lot like a piece of string...
  6. shounakbhatta

    Fundamental difference between quantum physics and classical physics

    Hello, There has been lot many articles, write up(s) pointing out the difference between classical and quantum physics. Well, I know that there has been thousand and one articles written on the topic, but my point is to find out the basic fundamental difference. One point is quiet evident...
  7. I

    Calculating Fundamental Frequency and Overtone Frequency of a Stretched Wire

    Homework Statement a flexible wire is 80 cm long has a mass of 0.40g. It is stretched across stops on a sonometer that are 50 cm apart by a force of 500N. Find the fundamental frequency with which the wire may vibrate. If it vibrates in 2 third overtone, what is it's frequency?Homework...
  8. Q

    Fundamental Theorem of Calculus

    Homework Statement The derivative of an integral with a constant as its lower bound and a function as its upper bound is the function at its upper bound multiplied by the derivative of the upper bound. The Attempt at a Solution How come the constant term has no bearing? I understand...
  9. S

    Fundamental Polynomial Operations

    Hi guys! I'm kind of stuck in my review here in Quantitave on the Polynomial part :confused: Homework Statement A. The first problem I had is Problem 7 on the link I will provide which has this. (x + y)3 + (x-y)3 = ? B. The second problem I had is Problem 8 on the same link I will...
  10. N

    What are the fundamental methods of generating motion?

    I know that motion today is usually generated by - generating a varying magnetic field and varying it in relation to a fixed one - ccombusion engines Are there other "fundamental" approaches to generate motion, or is that pretty much it? Your input is appreciated, thanks!
  11. P

    How fundamental are functions, really?

    I'm sorry if this is in the wrong place but I believe the answer is geometric in nature somehow. So as a young physics student it is banged into your head that vectors/tensors are genuine geometric and algebraic "objects" and the coordinates by which you label them are metaphysical, so to...
  12. T

    Need something better than Wiley Fundamental of Physics?

    I'm nearly done with my first semester of college as an electrical engineering student. I'm doing pretty well other than in my physics class which I am struggling. I'm maintaining around a C+ right now. While it's passing, I know I can do much better. The class is late at night and I can't...
  13. V

    Can the concept of negative mass shed light on the independence of momentum?

    To the best of my knowledge, General Relativity considers Momentum to be as fundamental a thing as Energy. However, in day-to-day descriptions of Things in Physics, Momentum always seems to be dependent upon something else (such as Mass in motion). It seems to me that if Momentum was truly a...
  14. T

    Integration using the fundamental theorem of calculus

    Hello PF. Homework Statement Find a function g such that \int_0^{x^2} \ tg(t) \, \mathrm{d}t = x^2+x Homework Equations From the fundamental theorem of calculus: f(x) = \frac{d}{dx}\int_a^x \ f(t) \, \mathrm{d}t The Attempt at a Solution After taking the derivative of...
  15. TrickyDicky

    Fundamental particles in physics

    I was reading this recent Scientific american article which I found interesting, and was spurred on by it to ask a couple of questions. Is the mathematical concept of fundamental point particle currently a basic postulate in physics(let's take as current physics the QM based-QFT modern...
  16. L

    Calculating Fundamental Forms for a Parametrized Graph

    Let ##f(x,y)=(x,y,h(x,y))## be a parametrization of the graph ##T_h## of ##h:\mathbb{R}^2\to \mathbb{R}##. Compute the first fundamental forms for ##T_h## and also compute the second fundamental form. For the first fundamental form. I got that ##f_u = \langle 1, 0, f_u \rangle## and ##f_v...
  17. P

    Smallest set of fundamental physical constants?

    Hi, everyone. I once saw a science program with the danish astrophycisist Jens Martin Knudsen, who said that there exists seven absolutely fundamental constants of nature, and if one of these were changed ever so slightly, it would lead to drastic changes in the whole universe. So my...
  18. J

    Maximally strong fundamental theorem

    This is still not clear to me. Here's the conjecture: Assume that f:[a,b]\to\mathbb{R} is such function that it is differentiable at all points of its domain, and that \int\limits_{[a,b]}|f'(x)|dm(x) < \infty holds, where the integral is the ordinary Lebesgue integral. Then also...
  19. A

    What is temperature and why is it a fundamental quantity?

    Since temperature is just average energy per mole why is it a fundamental quantity ? Can't we simply have the unit of temperature as Joule / mole ?
  20. S

    Use fundamental theorem of calculus to compute definite integral

    Homework Statement The problem and my (incorrect) work are typed and attached as TheProblemAndMyWorkTypedUp.jpg. Homework Equations Integral from a to b of f(t) = F(b) – F(a) The Attempt at a Solution As mentioned above, my work is attached as TheProblemAndMyWorkTypedUp.jpg. (The (2 –...
  21. M

    What is the fundamental frequency of an aluminum rod?

    Homework Statement A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a...
  22. O

    Fundamental Forces: Explaining to a 13yo

    How are the normal, static friction, kinetic friction, gravity, electrical and magnetic forces related to the four fundamental forces of nature? I have a 13 year old asking and I am not sure what to say! Any help is kindly appreciated.
  23. J

    I feel like the term fundamental fields is a cop out

    Whenever I ask someone what an electromagnetic field is exactly, they say that science does how questions, not why questions (which doesn't really make sense in this context, maybe i worded my question differently). We say that there are four fundamental forces that create the universe we live...
  24. C

    Fundamental Property of Integers

    So there is a proof that the sum of any two even numbers is an even number. 2k + 2l = 2(k +l) We have written the sum as 2 times an integer. Therefore the sum of any two even numbers is an even number. An essential part of this proof is that k + l is an integer. How do we know this? Is it an...
  25. D

    Fundamental laws and differential equations

    why are many fundamental laws of nature formulated in the form of differential equations?
  26. S

    Fundamental Theorem of Calculus - Variables x and t

    Hello, I'm getting slightly confused by the following so was hoping someone may be able to clear my problem up. For integrals, if b is the upper limit and a is the lower limit, I will write ∫[b,a]. From the Fundamental Theorem of calculus part 1 we can show that: if F(x) = ∫[x,a]...
  27. Daaavde

    Fundamental relationship between thermodynamics and stat. mechanics

    From the Greiner (Thermodynamics and statistical mechanics) on the relationship between the number of microstates of two systems and the total entropy: ...for two statistically independent systems the total number of compatible microstates \Omega_{tot} is obviously the product of the...
  28. R136a1

    Are Abelian fundamental groups always isomorphic in path connected spaces?

    Hello everybody! So, I've learned that in a path connected space, all fundamental groups are isomorphic. Indeed, if ##\gamma## is a path from ##x## to ##y##, then we have an isomorphism of groups given by \Phi_\gamma : \pi_1(X,x)\rightarrow \pi_1(X,y): [f]\rightarrow [\overline{\gamma}]\cdot...
  29. SamRoss

    What's fundamental for quantum mechanics?

    As I understand it, a lot of what is taught about quantum mechanics are special techniques for solving problems. I'm not a physicist, so something like perturbation theory is not what I'm after. To be more specific, i would like to know the minimum that is necessary for "doing" quantum...
  30. L

    First Fundamental Form from tangent vectors

    Hi Appologies for formatting issues this is the first time I have submitted something to the forum. I have a pretty simple problem, I am just going through the derivation of the First Fundamental Form and I think I am missing something in the derivation. If we have a point x = (x1,x2)...
  31. T

    Distorting spacetime: Links/references about fundamental limits

    I'm interested in reading about the fundamental limits imposed by known physics on distorting spacetime in ways that bring two masses closer together so that speed of light travel time between them is reduced. I'm familiar with the concept of inflation theory. I think of it as a rapid...
  32. V

    Questions about fundamental concepts

    I am confused about what I think should be the most basic concepts in quantum mechanics.. As far as I understood, a system that can be in only one of two states, can literally be only in one of those two states, right? So if I were to make a hypothetical measurement of the configuration of...
  33. P

    First Fundamental Theorem of Calculus

    Hi, I just learned about the First Fundamental theorem of calculus. From my understanding, it talks specifically about definite integrals. I was wondering if there is any sort of theorem that proves that the derivative of the indefinite integral of a function is equal to the function itself...
  34. A

    Second fundamental form and Mean Curvature

    Homework Statement Metric ansatz: ds^{2} = e^{\tilde{A}(\tilde{\tau})} d\tilde{t} - d\tilde{r} - e^{\tilde{C}(\tilde{\tau})} dΩ where: d\tilde{r} = e^{\frac{B}{2}} dr Homework Equations How to calculate second fundamental form and mean curvature from this metric? The Attempt at a...
  35. B

    Fundamental theorem in 2 dimensions.

    Hello I have heard that Greens, Stokes and the Divergence theorem is the equivalent of the fundamental theorem in multiple dimensions. But is there some way to show the result under: if F(x,y) = \int_{-\infty}^x\int_{-\infty}^yf(x^{*},y^{*})dx^{*}dy^{*} this implies that...
  36. S

    Constraints on possible fifth fundamental force

    Anyone read the article on this? http://phys.org/news/2013-06-precise-quantum-electrodynamics-constrain-fundamental.html I made an effort to read to arXiv paper, but I'm still working on my understanding of QFT, so I didn't get too much out of it.
  37. B

    Calculate fundamental overtone and length of tube

    Homework Statement It is observed that a tube open at both ends exhibits harmonics at 438 Hz, 584 Hz, and 730 Hz. A) Calculate the fundamental overtone of the tube. B) Calculate the length of the tube. Homework Equations L=lambda/2 x n, v = f x lambda The Attempt at a...
  38. L

    About fundamental social psychology

    I have always interested in psychology and never properly studied psychology in my life. But over the years I have learned about many things by learning about famous psychology experiments. However I cannot seem to get sufficient enough information to ‘understand’ human’s fundamental social...
  39. M

    Can one derive all of physics from the 5 fundamental force equations?

    If one knew the equations for the 5 fundamental forces, would that not explain the entirety of all physical phenomenon in the universe? (Presuming there were not undiscovered forces?) Or would something like quantum mechanics not be explainable via those interactions? Does the nature of the 5...
  40. adjacent

    Where does potential energy come from?

    Gravity pulls things down.Things then gain kinetic energy.When you lift something it has gravitational potential energy.I know that potential energy is transformed into kinetic but according to the law of conservation of energy, potential energy must also be transformed from some other type of...
  41. L

    Is the Universe able to evolve due to fundamental forces?

    I'm sorry if I posted this is the wrong section, but I was wondering if fundamental forces evolve? In other words, can universes evolve. Since stagnant ones eventually die out. And the successful ones produce black holes; transferring matter into a whole new beginning.
  42. J

    Fundamental Thermodynamic Relation and Helmholtz Energy

    I'm confused about the condition for spontaneity for the Helmholtz energy. My textbook (McQuarrie, "Physical Chemistry") derives the conditions as follows. We start with the combined law of thermodynamics: dU = δq + δw ≤ TdS – PdV since δq/T ≤ dS dU – TdS + PdV ≤ 0 For a process at...
  43. P

    Where did they come from and when?

    correct me if I am wrong but there are fundamental fields that are responsible for the forces and properties. A) how do these fields (em, higgs ect.) influence matter? B) where did they come from and when? Thanks
  44. 1

    Proving/deriving first fundamental theorem of calc

    I know this is going to be atrociously bad, but I like to try to prove things. \frac{f(x+\Delta x) - f(x)}{ \Delta x} = \frac{\Delta y}{\Delta x} => f(x+\Delta x) - f(x) = \frac{\Delta y}{\Delta x} \Delta x => f(x+\Delta x) = \frac{\Delta y}{\Delta x} \Delta x + f(x) Now...
  45. H

    Exploring the Fundamental Postulates of QM: Are They Truly Ad-Hoc and Strange?

    I find the fundamental postulates of QM very ad-hoc and strange. Compare them to the fundamental postulates of special relativity, special relativity naturally arises out of classical electromagnetism and the equivalence of all inertial frames, while QM seems to come out of nowhere.
  46. U

    The Lie bracket of fundamental vector fields

    Homework Statement The Lie bracket of the fundamental vector fields of two Lie algebra elements is the fundamental vector field of the Lie bracket of the two elements: [\sigma(X),\sigma(Y)]=\sigma([X,Y]) Homework Equations Let \mathcal{G} a Lie algebra, the fundamental vector field of an...
  47. F

    Equation linking all fundamental constants

    Folks, I remember once seeing an equation that linked all the important fundamental constants - electron charge/alpha, gravitational constant, planks constant, speed of light, electron mass etc - in a dimensionless relationship. But for the life of me I cannot find it -google doesn't know...
  48. A

    MHB Fundamental Theorem of Calculus Questions

    Last one for the night! These are the questions: This is my work: I think question 5 is correct (I hope), but I'm not entirely sure about question 6. Any help would be appreciated!
  49. T

    Is it worth it to persue fundamental Theoretical Physics? no strings

    Here's my battle plan: 1: Learn (the principles) of verified models for fundamental physics. QFT, GR, Standard Model, etc. 2: Try to think of what I don't know and what I'd like to experimentally test.I think I'd prefer to get a regular job and research physics in my free time, rather than be...
  50. B

    Tension and Fundamental frequency

    The fundamental frequency of a uniform wire with an AC current of constant magnitude was found at various different tensions and a graph of (T1/2,l) was plotted (l was the length between the two nodes of the wire when the fundamental frequency was found). How would the data on the graph...
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