A principle is a proposition or value that is a guide for behavior or evaluation. In law, it is a rule that has to be or usually is to be followed. It can be desirably followed, or it can be an inevitable consequence of something, such as the laws observed in nature or the way that a system is constructed. The principles of such a system are understood by its users as the essential characteristics of the system, or reflecting system's designed purpose, and the effective operation or use of which would be impossible if any one of the principles was to be ignored. A system may be explicitly based on and implemented from a document of principles as was done in IBM's 360/370 Principles of Operation.
Examples of principles are, entropy in a number of fields, least action in physics, those in descriptive comprehensive and fundamental law: doctrines or assumptions forming normative rules of conduct, separation of church and state in statecraft, the central dogma of molecular biology, fairness in ethics, etc.
In common English, it is a substantive and collective term referring to rule governance, the absence of which, being "unprincipled", is considered a character defect. It may also be used to declare that a reality has diverged from some ideal or norm as when something is said to be true only "in principle" but not in fact.
There are lots of basic explanations on the Internet of the two most famous uncertainty principles, that of momentum-position and Energy-time, but I do not find any basic explanation of the action-angle uncertainty principle. I do not even know what angle (or what operator) is being referred to...
In fermats principle what if there is more than one path for which the variation in optical path length is stationary.Then which path would light take to reach from one point to another.
Homework Statement
How many 3 digit numbers can be formed from 0 to 3 without repition
Homework EquationsThe Attempt at a Solution
What I did first is
H = number of choices for the hundreds place
T = number of choices for the tens place
U = number of choices for the units digit
H = 3...
How many 3 digit even numbers can be formed from 0, 1, 2, 3, 4, 5 and 6 with no repetition?
My attempt:
$\frac{5}{H} \times \frac{6}{T} \frac{0}{U} = $ 30 numbers ending with zero not including two digit numbers starting with zero$\frac{4}{H} \times \frac{6}{T} \frac{2}{U} = $ 24 numbers...
Consider an ensemble of identically prepared pencils balanced on its tip. If a pencil is precisely vertical, ##x=0##, and precisely at rest, ##p=0##, then it will never fall. But some pencils in the ensemble would fall, because according to the uncertainty principle, the standard deviation...
From the following definition, it seems that the uncertainty principle is an epistemological statement.
"Heisenberg's uncertainty principle, is any of a variety of mathematical inequalities[1] asserting a fundamental limit to the precision with which certain pairs of physical properties of a...
Hello, It's been puzzling for me to try to understand this issue. To begin with it is clear that there are basically two principles, the Position-Momentum uncertainty and the Time-Energy uncertainty. It is also clear that there are at least two different interpretations attached to both. One is...
The principle of the least action, that the particle will take the path of least Lagrangian, here given as T-U, is Hamilton's principle in classical mechanics. I am wondering if this is just an empirical, experimental observation that is not mathematically driven from elsewhere, just like...
am reading Sean Carroll's pop-science book 'From Eternity to Here' and am having trouble connecting the links in his discussion of the Holographic Principle.
At the outset, I would ask that you try to answer in terms of Carroll's discussion and without moving into concepts much more advanced...
It is known that equivalence principle is good for understaning of general relativity (GR). This means comparison of the elevator and falling in homogenic gravitational field.
But, I here somewhere something like "in the higher lever of GR, let us forget on principle of equivalence". How it is...
Is the motivation for the action principle purely from empirical evidence, or theoretical arguments, or a mixture of the two? As I understand it, there was some empirical evidence from Fermat's observations in optics, i.e. that light follows the path of least time, notions of virtual work and...
Let me start this question with a quote:
"In the reaction turbine, the rotor blades themselves are arranged to form convergent nozzles. This type of turbine makes use of the reaction force produced as the steam accelerates through the nozzles formed by the rotor. Steam is directed onto the...
why only the common tangential surface of the secondary wavelets forms the new wavefront ?
what about all the other interferances that might occur between the waves of the secondary sources , like the constructive interferances that occur slightly offside towards the inside of the tangential...
Homework Statement
Homework Equations
PE at A = 3mgx
WD = Fs
KE = 1/2mv^2
The Attempt at a Solution
The question I am stuck on is part ii.
I worked out from part i that the PE at A is 3mgx, so therefore all this must go towards the KE and the sound, and doing work against friction, etc...
Homework Statement
For the equilibrium reaction:
##Ag^+(aq) + Fe^{2+}(aq) \rightleftharpoons Ag(s) + Fe^{3+}(aq)\ \Delta H = -20 kJ##
action that can be done so more silver get dissolved is ...
A. Add FeCl3
B. Decrease the pressure
C. Stir the mixture
D. Add FeSO4
E. Decrease the temperature...
Frames under identical acceleration, regardless of whether due to gravity or accelerated motion, are locally identical but time runs slower in a gravity well. For example, at the center of a large mass (like the one pictured, below) time runs more slowly than for an inertial observer far from...
Homework Statement
So as I understand, a negative Corona discharge happens between an electrode/pin/rod and a plane electrode. When the sharper electrode is connected to the negative (DC) plug, electrons concentrate on the tip, when sufficient breakthrough voltage is achieved a discharge...
Homework Statement
Homework Equations
Torque = F x D
Manticlockwise = Mclockwise
The Attempt at a Solution
From what I understand, the moment on left hand side of the pivot point needs to be equal to the moment on right hand side, therefore...
(Fx.2)+(5x.14) = (7xd)
My initial...
When I'm solving a superposition principle problem i get stuck and so confused with the signs.
For example this problem
Consider three point charges at the corners of a triangle, as shown at right, where q1 = 6.00 × 10−9 C, q2 = −2.00 × 10−9 C, and q3 = 5.00 × 10−9 C. Find the magnitude and...
Homework Statement
Reading Feynman The Principle of Least Action out of The Feynman Lectures on Physics, Vol 2. Link to text http://www.feynmanlectures.caltech.edu/II_19.html
So I'm having a problem proving that, section 19-2 5th paragraf, that
"Now the mean square of something that deviates...
Homework Statement
i have a question on D'alemberts principle in which it asks me to find the velocity of a hammer immediately before impact with a pile
the information i have been given is as follows:
mass of hammer;300kg
height of hammer;3.5m
gravity to be taken as;9.81
mass of pile ;500kg...
I have read that the Schrodinger Uncertainty Principle is an extension of Heisenberg's. So, why don't we use the Schrodinger Uncertainty Principle instead of Heisenberg's?
Thanks!
Hello everyone. I feel myself a little bit confused because I can't understand the difference between the working principle of the photodiode and the photoresistor. The photoresistor changes its resistance under the influence of light while photodiode changes the current across iself. Is this...
In the Infinite Square Well problem, an energy eigenstate is in an equal superposition of two momentum eigenstates with eigenvalues that are opposite in sign(like standing waves that are formed by two wavefunctions corresponding to "opposite momentums").
So, for every energy eigenstate, we...
Homework Statement
Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 9.4 cm2, and the right arm has a cross-sectional area A2 of 4.50 cm2. One hundred grams of water are then poured into the right arm as shown in Figure b.
(b) Given...
If we consider a system to undergo an irreversible process from state 1 to state 2 and a reversible process from state 2 to state 2, then through Clausius inequality
(1to2∫dQirrev/T) + (2to1∫dQrev/T) ≤ 0
(1to2∫dQirrev/T) + s1 - s2 ≤ 0
s2-s1 ≥ (1to2∫dQirrev/T)
Δs ≥ (1to2∫dQirrev/T)
Does this...
When reading through one of the feynman lectures (http://www.feynmanlectures.caltech.edu/II_19.html) there was a paragraph that said:
"In the case of light we also discussed the question: How does the particle find the right path? From the differential point of view, it is easy to understand...
This extract is taken from Sean Carroll's textbook. It talks about a theory that respects the Weak Equivalence Principle but violates the Einstein Equivalence Principle.
we could imagine a theory of gravity in which freely falling particles begin to rotate as they moved through a gravitational...
Homework Statement
The plano-convex lens has a diameter of 200 mm and the central thickness of 20 mm. The edge thickness is zero and the refractive index of glass is 1.5. Find the following parameters of the lens: (i) the back focal length
Homework Equations
N/A
The Attempt at a Solution
I've...
Homework Statement
Just asking for a little help on this question
50kg object is pulled across a rough horizontal surface with a uniform force of 250N for 15m from rest, the surface has a frictional coefficient of 0.4, calculate the acceleration using dealemberts principle
But this results in...
Homework Statement
Homework Equations
no equations required
The Attempt at a Solution
can someone please verify if my answer is correct. Thanks!
I used the right-hand rule for the motor principle (although another tutor on physics forum told me that its supposed to be the 'left-hand rule'...
In the middle of the below paragraph: "only if the shift vector ##R## is along one of the principal axes relative to the center of mass will the difference tensor be diagonal in that system." I suppose the difference tensor means new inertial tensor ##-## old inertial tensor.
That means the new...
Considering how Heisenberg's uncertainty principle is applied to a top-hat wave function:
This hyperphysics page shows how you can go about estimating the minimum kinetic energy of a particle in a 1,2,3-D box: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/uncer2.html
You can also...
I am aware that there have been a few posts about this, I read most of them so I just want to confirm that what I've picked up is correct.
The principle of superposition only applies to forces that depend linearly on some quantity (charge and mass for example), and since we wouldn't know...
The Equivalence Principle says depicting gravity as a field associated with matter is equivalent to picturing it as twisting of space. Is there a space-twisting equivalent of a collapsed star as a shell of condensed matter with interior of intense gravitational field energy (found in the field...
Can anybody give me a simple example of uncertainty principle in both microscopic and microscopic level so that I can recall it every time I read about this topic ?
Let ζ5 be e2πi/5. Find a monic polynomial of degree two in K(ζ + ζ−1)
So, if E/F is a field extension, with α∈E then K(α) = {f(x)∈F[x] | f(α)=0} and m(x) is the minimal polynomial of α over F such that K(α) = [m(x)] where [m(x)] is the ideal generated by m(x).
I was thinking maybe (x- ζ -...
Is there an intuitive way to understand why nature selects the path that minimizes the action? I've seen it proven that the Euler-Lagrange equations are equivalent to Newton's laws (at least in Cartesian coordinates). So I can understand it mathematically. But on a more common-sense level...
Homework Statement
Consider the linear system:
dx/dt=x-y
dy/dt=x+3y
a. show that the function (x(t), y(t))=(te2t, -(t+1)e2t) is a solution to the differential equation (easy)
b. Solve the initial value problem
dx/dt=x-y
dy/dt=x+3y
y(0)=(0,2)
need help with part b not a
Homework Equations...
I heard the holographic principle is a sham and that there is no evidence to back it up and that 99% of physicists don't accept the idea as credible.
Is this true?
I have a conundrum of sorts that has made me feel like an idiot and I am hoping someone can point out my mistake.
Suppose a light source is placed to the left of a prism and a detector is placed on the opposite side. I have seen plenty of pictures of this sort, and they all appear to show the...
Homework Statement
We have a system (see attached graphics) of two rods with length ##l## and mass ##m## and some external force ##F##. The coefficients ##k## of the two springs are given. The springs have no deformation when ##\varphi =0##.
a) Find generalized force of the system.
b) Determine...
There's something I don't manage to understand in the union between the relativity of simultaneity and the uncertainty of a quantum system's state.
Observer A is in a lab on Earth.
Observer B is approaching Earth at half the speed of light.
On Earth, we build an experiment that gives a result...
Homework Statement
(a) Show that in the Bohr model, the frequency of revo-lution of an electron in its circular orbit around a stationary hydrogen nucleus is f = me4/4ε02n3h3 (b) In classical physics, the frequency of revolution of the electron is equal to the frequency of the radiation that it...
Are physical constants, such as the elementary charge or the gravitational constant, subject to Heisenberg uncertainty principle, theoretically and empirically?
Theoretically in the sense that infinite precision of these constants will directly violate HUP. Empirically in the sense that, for...
Hello Forum,
What is the whole reasoning and importance of discovering that the inertial mass, which is introduced as the resistance to change the state of motion and the gravitational mass, which promotes motion (the larger it is the larger the attractive force).
The equivalence principle...
Homework Statement
A block of wood measures 2.2m by 2.5m with depth 3.6m with weight 102KN. When placed in water, how far will it sink?
g = 9.81 ms-2
density of water = 1000kg m-3
Homework EquationsThe Attempt at a Solution
Volume = 2.2(2.5)(3.6) = 19.8m3
Mass = 102000 / 9.81 = 10398 kg...
1. Homework Statement
I have to demonstrate the Uncertainty Principle
Starting from the expression of the following ket:
|Ψa>=(ax^+ibp^)|Ψ>
where a and b are complex numbers and the ^ denotes that x and p are unitary vectors.
2.Relevant equations
I must use the bra-ket notation, but I...