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Given this situation ($P$ is the point where the beam is fixed), which force induces a torque that is counterclockwise? I want to use that : $ \boldsymbol{\tau} = \textbf{r} \times \textbf{F}$ , however what does counter clockwise torque mean? Intuitionally it would seem that $F_2$ would turn the beam around its own a...
Others have asked in general about cases in which the action integral is not minimized, but my question is specific: Can we show that the conventional action integral is always maximized for a system at stable equilibrium? My reasoning is as follows. The conventional action integral is $$S=\int_{t_{1}}^{t_{2}}(T-U)dt$$...
One of the examples that shows that Newtonian mechanics is non-deterministic is that of a "space invader" (see here) which comes in from an infinite distance at a given time (or with time reversed, shoots off to an infinite distance in finite time): Is energy conserved in this situation? (if so, how?) If not, what as...
I just realized there's something extremely basic about surface tension that I don't understand. Surface tension is a property of the interface between two different materials, such as water and air, or water and glass, or water and oil. According to standard introductory textbooks, surface tension creates a force per ...
Newton's first law states that given an ideal situation, any force applied on a body would change its state of motion and the object would continue to pursue that state, given no other force acts on the body. However, Newton's third law says that for every action force, there is an equal and opposite reaction force, so...
I have just learned that sunlight traveling through the earth's atmosphere picks up a net polarization by collisions with molecules ($O_2$, $N_2$, etc.) that the photons encounter. One would think that those molecules would have to possess some degree of common alignment in order to produce light that possesses nonrand...
I am trying to solve a re-imaging two lens system and I am aware of the Thin Lens Equation, $ \frac{1}{d_{image}} + \frac{1}{d_{object}} = \frac{1}{f}$ where $f$ is the focal length. My scenario is thus: A collimated beam goes through two positive lenses with focal lengths $f_1$ and $f_2$ (I know these, and I know the ...
I have this simple physics problem ( https://ibb.co/g96Lm0Q ), and I'm not quite understanding what's going on. Basically I have three forces $\vec F_v$, $\vec F_r$, and $\vec F_c$. $\vec F_v$ is constant across time. $\vec F_r$ is proportional to the speed $\vec v$ (equation is $\vec F_r= A\vec v$). $\vec F_c$ is prop...
In case of a black hole, the direction of the Hawking radiation is from the horizon to the observer. The corresponding effect in the Rindler spacetime is the Unruh radiation. Intuitively, a rapidly accelerating observer should face the Unruh radiation coming from the direction of motion, like a wind felt by a biker. Th...
The image shows the approach of a few saying that the sensitivity is maximum if the deflection approaches zero. The white portion is a snap of a reference book which says the sensitivity is maximum if the deflection approaches $45^\circ$. Which is right? Kindly point out the mistake.
The sentence, "No two magnetic field lines can intersect each other." has always confused me. The tangent of a magnetic field line gives us the direction of the magnetic force. When two forces act in two different directions at a specified point, we can simply find out the resultant force by vector addition. Why can't ...
Hamiltonian flow generated by angular momentum function $ J(\mathbf{x}, \mathbf{p})=x_{1} p_{2}-x_{2} p_{1} $ is given by: $$ \begin{array}{r} {\left[\begin{array}{l} x_{1}(t) \\ x_{2}(t) \end{array}\right]=\left[\begin{array}{cc} \cos t & -\sin t \\ \sin t & \cos t \end{array}\right]\left[\begin{array}{l} x_{1}(0) \\ ...
When looking at the Bose-Hubbard Hamiltonian $$H_{BH}=-t\sum_{\langle i,j\rangle}a^\dagger_ia_j+\frac{U}{2}\sum_ia^\dagger_ia_i(a_i^\dagger a_i-1)-\mu\sum_ia_i^\dagger a_i,$$ I'm wondering why there is the chemical potential term. In my understanding, the Hamiltonian is supposed to "measure" the energy of the system or...
In Griffith, it was given that when we cross a surface charge density, a discontinuity in the electric field occurs. The proof was given from Gauss law. $$E_{\rm above}^\perp-E_{\rm below}^\perp=\frac{1}{\varepsilon_0}\sigma$$ The thing I don't get: How does the equation, surface integral of E.da across a gaussian pill...
The Alcubierre Drive and faster than light travel more generally may be locked away in the realm of fiction forever. That might be depressing to some people but I think their impossibility is really interesting in it's own right. Here is The Alcubierre Warp Drive: On the Matter of Matter (2012). In it the authors state...
I was studying a course about Lie groups, Lie algebras and their representations (and classifications) when I encountered this statement : When a physical system admits symmetry, the observable form a representation of the group concerned. Lorentz and Poincaré groups are very important examples. (It's originally in f...
The holomorphic part of the conserved current of a Wess-Zumino-Witten model is given by $ J = - k \partial g g ^ { - 1 } $, where $ g $ is a map from $ S^ 2 $ to some Lie group. It is claimed that this current has conformal weight 1, I was just wondering if anyone had a method to prove this, since I don't know how to w...
my teacher told me that ,when current first enters an inductor it will produce a current in the opposite direction to the one entering and the net current initially would be $0$ according to Lenz's law ,and the opposing current produced would decrease with time and gradually the current builds up in the circuit My doub...
I found the electric field in the first shape but İf ı cover plates with High dielectric strength material, what happens to electric field?
A trolley of mass $1kg$ is being pulled along a rough horizontal table, the coefficient of friction between the two objects is $0.4$, with an acceleration of $3m/s^2$ to the right, by a rope at an angle of $tan^{-1}(\frac{3}{4})$ degrees to the horizontal, in a vertical plane. Determine the size of the tension $T$ in t...
Suppose we have a grounded conducing sphere S and a point charge q outside at a given distance. My objective is to find the induced charge on the sphere. My attempt is the following: since the sphere is a grounded conductor, the potential is zero in any point inside and on the surface of the sphere. For any point P on ...
If an electron is traveling less than the speed of light, does it produce any light? At any wavelength? I just thought about this after reading about the attempt(s) to detect very low-energy neutrinos, like those created (allegedly) after the Big Bang?
Why boundaries for radius between internal and external conductor are set to $a \leq r < b$ instead of $a \leq r \leq b$? Example: An air coaxial line made of copper ($μ \sim μ_0$) is given. A constant current I flows through the inner conductor. The radius of the inner conductor is a and the outer conductor is of negl...
Symmetries that have non-trivial effects on observables must be preserved by dualities (equivalences between different-looking quantum field theories), because the equivalence relation preserves observables by definition. Gauge symmetries don't affect observables, so two quantum field theories can be equivalent to each...
I’ve seen two derivations of the catenary equation: one involving Lagrange multipliers and another using a balance of forces on a segment of the cable/rope. I’m trying to derive the catenary equation by minimizing the potential energy of the cable, which is: $$U=\mu g \int_{x_1}^{x_2}y(x) \sqrt{1+y’(x)^2} \, \text{d}x,...
I have formed a thread about loosely how a 'fluid', geometrically flat, N-space, that is 'curved', in infinity'. With flows of fluid, 'space', that can facilitate known forces in that flat space. In a more appropriate forum. Fluid N-space. https://www.quora.com/q/rbdckesbcmnzchke .} [I presume all dimensions are infi...
question is. using a horizontal force of 200 N , we intend to move a wooden cabinet across a floor at a constant velocity. what is the friction force that will be exerted on the cabinet?
Imagine two $ideal$ black bodies, one at temperature $T_1$ and the other at $T_2$, $T_1 \ne T_2$, both are in thermal equilibrium with their respective heat baths and now we separate the cavities from them. Both have a small opening through which we connect them with a tube (a waveguide) that is ideal reflecting intern...
https://en.wikipedia.org/wiki/Rietdijk%E2%80%93Putnam_argument two people walking past each other in the street could have very different present moments. If one of the people were walking towards the Andromeda Galaxy, then events in this galaxy might be hours or even days advanced of the events on Andromeda for the p...
I had an argument with a friend who says that the temperature of the glass of a beer decreases faster than the liquid inside. for example if there's a beer bottle in the fridge for 10 minutes the glass would reach a lower temperature quicker than the liquid inside. I don't agree to this because the collisions between a...
In molecular orbital theory, it is often said that only orbitals with a) the same symmetry and b) similar energy can interact to a significant degree. I understand the necessity for the same symmetry, but the only explanation for b) I've been able to find is this one: https://www.quora.com/Why-is-interaction-strongest-...
A block of ice is weighed in a container. Then, it is left out to melt. Would the weight of the water be greater, less than, or equal to the ice? I know that it has something to do with density and volume, but i'm not sure how.
Perpetual motion machines don't work because as it moves, the air molecules hit it and slow it down. Friction slows it down in a similar way. If there were no forces to slow it down, could it work?
I tried to find the whole connections between the thermodynamics potentials without any success, the main potentials $U,F,G,H$ and the relations between them (derivatives), for an example what is the derivative of $dU/dT$ while $G$ and $N$ are constants. if someone can send me to a place where i can find all of these c...
I understand that when the electron and proton are arranged to form a hydrogen atom, the potential energy of the system is lower than when separated. As a result, according to mass-energy equivalence, the mass of the hydrogen atom is lower. However, my question is about the physical process through which the mass or "i...
There are two doubts, but all are from the same section and closely related so I thought I'll ask in one post. I'm studying a section that introduces Christoffel symbols [Core Principles of Special and General Relativity by Luscombe] and came across a quote. Just for context, it references this equation relating any tw...
I am trying to understand how quantum states are a generalization of probability distributions and have some issues understanding purifications. A mixed quantum state $\rho_A$ can always be purified into a pure state $\vert\psi_{AB}\rangle$ such that $\text{Tr}_B(\vert\psi\rangle\langle\psi\vert) = \rho_A$. What is the...
Does John Wheeler's conjecture that black holes have no hair apply to electrons? Can the electrons have some hair that I can't see?
I was reading a post about how EM Waves are formed when an electron is accelerated due to the kink formed in the outward radial electric field vector. (http://www.tapir.caltech.edu/~teviet/Waves/empulse_details.html). From the post, it seems like the propagation of EM waves due to an accelerated electron in 3D should b...
How do I calculate centripetal force if applied force is known instead of velocity?
Assume that the walls of the box prevent any interaction between the inside and the outside. Are the different quantum states within the box (living cat, dead cat, and all permutations thereof) coherent before the box is opened? If so, then does this mean that the states can interfere? If not, then what made the quantu...
The question given is : Two vertical cylindrical vessels A and B of horizontal cross–sectional areas S and 2S are connected at their bottoms with a horizontal tube of cross sectional area 0.5S. An amount of water is trapped in the vessels under leak proof pistons, one in each cylindrical vessel. The pistons are conne...
A box sits on a table at rest and is not about to move. Which one of the following is a correct statement? a) The normal reaction of the table on the box is equal to the mass of the box b) The friction force on the box is equal to the coefficient of friction multiplied by the normal reaction c) The friction force on th...
I'm trying to follow a derivation of the Euler-Lagrange equation at the continuum limit, and find some details hard to understand. The 1D lattice has a mono-atomic basis with atomic spacing $\mathfrak{a}$ and atom mass being $m$. The relative displacement of the nth atom is $\delta \eta_{n}$. The Lagrangian at the disc...
I am following Sidney Coleman's lectures of Quantum Field Theory. At the end of ch.32, he derived the Ward identity for the 1PI generating functional $\Gamma[\psi,\bar{\psi},A_{\mu}]$ for QED: \begin{equation} ie \bar{\psi} \frac{\delta \Gamma}{\delta \bar{\psi}(x)} - ie \frac{\delta \Gamma}{\delta \psi(x)} \psi(x)- \...
Consider the diagram below of a positive charge and three points marked in the field X, Y and Z. I understand that for a gravitational field, we define the potential energy as being always negative, and approaching zero as you move further from its source. My questions are, why is this? and how does this differ for th...
I am reading through Polonyi's Classical Field Theory notes. It begins with a discussion of special relativity, and near the bottom of page 3, it introduces a procedure for synchronizing clocks. I've reproduced the paragraph below. Let us suppose that we can introduce a coordinate system by means of meter rods that ch...
There is no evidence to support that time is quantized. So wouldn't the use of discrete values like $dt$ in calculus suggest time is quantized and comes in discrete durations of $dt$?
I have been thinking about how earthquakes, light, sound, water tension, and movement work. I do not have a degree in physics, nor have I taken it (yet), but I am willing to learn. To summarize my question Newton's 3rd law states all actions have an opposite and equal reaction. So, if we live in 3 dimensions; energy m...
Is it correct to define uncertainty as "The distinction between the measurements with different instruments"? Thanks :D
I was recently reading about sonic booms and learned that when the speed of source is greater than or equal to the speed of sound in the medium, then a sonic boom is produced. However, I could only understand why sonic booms are produced when the source speed is equal to the speed of sound. When the source emits a comp...
Consider a system of two oppositely charged plates (a capacitor) connected by a wire like allowing current to flow (say electrons to right). For convenience, let's assume that the wire is rigid. Now say there exists a magnetic field into your screen. I have two questions: What is the motion of the system? Remember th...
What happens when we introduce a static magnetic field perpendicular to a metal plate? I feel that due to presence of free charges in metal plate and since it's at non-zero temperature, the free charges move randomly. Though the magnetic field is static, due to the random fluctuations of motions of electron, I feel the...
I know the almost homogeneous of cosmic microwave background radiation is claimed to be caused by the rapid expansion of quantum fluctuations in the early universe, but what does density of photons impressions since the big bang got to do with the fluctuations of space? Isn't it more space since the beginning and there...
For example, if I threw a 1 kg stone and a 100 kg stone vertically upward with the same velocity will they reach the same height, if yes then how?
In the given network, I am asked to find the equivalent resistance across the terminals. Given, the voltage supply across A and B is $V$ volts. When I tried to simplify the given network, I ended up connecting the resistor $P$ in parallel with an equivalent resistance of $\frac{3R}{2}$. The final answer that I got mat...
I am studying the derivation of Ward Takahashi identity using Peskin and Schroeder (Page number 311) What I understand from his statements is as follows, for a change of variables \begin{equation} \psi(x) \to(1+ie\alpha(x))\psi(x). \tag{9.100} \end{equation} The QED Lagrangian density transforms to \begin{equation...
The formula for the electric field due to a charged sheet is $\LARGE\frac{\sigma}{2\epsilon_0}$. Now, if I want to find the electric intensity of a point between two equally and oppositely charged plates, with the same charge densities, I would have to add the two electric intensities: $$\Large\frac{\sigma}{2\epsilon_0...
I have heard that if you take a measurement $T_1$ and wait, then take another measurement $T_2$ and then find $\Delta T = T_2 - T_1$. Then 63% of $\Delta T$ + $T_1$ will represent the measurement when we can find the time constant. So I took a PT100 sensor and measure temperature raising from 16C to 98C. The blue lin...
What causes a tension force? I can't understand why there is a tension force acting Also, let's take a simple example of tension force," a block tied to a end of the rope which is hanging". When will be the tension force larger or smaller than the weight of the block ? And why? Please answer.
I'm reading Griffiths's Introduction to Quantum Mechanics 3rd ed textbook [1]. On p.43, the author explains: What if I apply the lowering operator repeatedly? Eventually I’m going to reach a state with energy less than zero, which (according to the general theorem in Problem 2.3) does not exist! At some point the mach...
I was reading this brilliant answer by Luboš Motl, where he claims that The field that communicates gravity is the metric tensor field.. Now, here he says that gravity is indeed a force, and that the field corresponding to the force is the metric field. Now, this makes sense, as the metric tensor can form a tensor fi...
In the first law of thermodynamics, it is stated that: $$\Delta U = Q + W$$ Which can be written as: $$\Delta U = Q + P\Delta V$$ Since $\Delta U$ affects $U$ (internal energy), which itself affects temperature, a measure of the average kinetic energy of particles within a system, the equation, therefore, tells us a fe...
this question is simple, I was looking for a good derivation to Gauss' Law of gravitation $$\int \vec g.d\vec A=-4\pi GM $$ but was unable to find a good enough one online. Hence may I know its derivation?
I am reading the yellow book Conformal Field Theory by Francesco et al, and am deeply confused by the authors' derivation of the current associated with symmetry transformations (pages 40-41). This is described in another SE question. Keeping $O(\omega)$ terms (without any integration by parts), we can show that $$ S' ...
Why does gravitational potential at the centre of the Earth is finite i.e. $V_c=\frac{3}{2} V_s$, as at the centre $r$ becomes zero so applying $V = \frac{GM}{r}$ the result must be infinity.
As far as I know solids exchange heat energy on contact the best of the three states, due to density and etc. while gasses are worst at that. Recently I found out that, when boiling eggs, it is not necessary for them to be immersed in water. An alternative is to pour a small amount of water into the pot, put the eggs i...
Quoting from Ballentine's textbook on Quantum Mechanics: There are situations in which it is important to remember that the primary definition of the bra vector is as a linear functional on the space of ket vectors. What are those situations? I always thought of bras and kets on an "equal footing", i.e., two vectors ...
Ever since I first read about the quantum eraser experiment, I was wondering: if after the "measurement" the wave function collapses and we can observe a particle - does that particle remain a particle forever? How far is the screen from the measuring device? What if you put it 100km away? What about 1ly away? Or 1pc a...
When a light microscope is used in the reflected mode there is a semi-transparent mirror angled at 45 degrees that reflects a portion of the light onto the sample. The sample in turn reflects the light coming off the beam and it goes straight through the 45 degrees angled semi-transparent mirror. How is it that in this...
Question Let's say I have a metric in radial coordinates such that at $r \to \infty$ we find flat spacetime: $$ds^2 \sim -c^2 dt^2 + dr^2 + r^2 d \Omega^2$$ where $ds^2$ is the line element and $t$ is time cordinate and $r$ is the radial coordinate? What constraint does this impose on the stress-energy tensor? For exam...
I am looking for resources, where there are examples of calculation of correlation functions between composite operators. This is very basic and natural question, but unfortunately, I don't have any sources.. I am interested in any examples, but if to be concrete, I wanna to understand some basic examples: $\lambda \p...
Let's write the Standard Model action, replace the Lorentz metric with the GR metric, add the Einstein-Hilbert action, and expand the metric to the first order around the flat one. Do we get anything meaningful this way? Are there regions / regimes in our universe where it would make sense to consider such a theory? (G...
By this question, a particle can tunnel to inside a potential barrier. One aspect of this process that was not addressed in the answers was the conservation of energy. Motivated by this question, I am under the impression that having a particle inside a potential barrier would make for a higher energy state and, theref...
In An Introduction to Quantum Field Theory, by Peskin and Schroeder, when discussing the quantized real Klein-Gordon field ($\phi=\phi^\dagger$), they show the commutator $[\phi(x),\phi(y)]$ vanishes when $y-x$ is space-like. They then say on p. 28-29 Thus we conclude that no measurement in the Klein-Gordon theory ca...
So I was reading Graviation: Misner, Thorne, Wheeler and on Page 53 I came across an interesting passage: Multiply the mass $m$ of the momentum vector to obtain the momentum vector: $$ \vec p = m \vec u$$ But physics gives also quite another idea to momentum. It associates a de Brogile wave with each particle. Moreove...
I just learned that Magnetism is just electrostatics observed from a different reference point. Also recently learned that a emf is developed on the ends of a rod which is moving in a magnetic field . Also known as motional emf Now , According to the Theory of Motional Emf , the potential difference generated by a Magn...
A four-divergence term $\partial_\mu K^\mu$ when added to a Lagrangian, the action changes as $$S\to S^\prime=S+\int_R d^4x \partial_\mu K^\mu\tag{1}$$ where $R$ is a region of spacetime. Using Gauss' theorem, the term $\int_R d^4x \partial_\mu K^\mu$ can be converted to a surface integral $$\int_{\partial R} d\sigma_\...
I know that heating a ferromagnetic material above its Curie temperature will make the material lose its ferromagnetic properties. If a ferromagnetic material is repeatedly magnetized and demagnetized while staying below its Curie temperature, will its ability to be magnetized change? For example, imagine a ferromagnet...
Imagine an object that wants to move at a speed $v$ trough a fluid. I was thinking that when i ride a bike, there is generally a speed at which air drag becomes a problem, but if i ride slow i does not affect the movement that much, making me think that riding slow is more efficient in the long term. What is the criter...
In math books, I saw the metric tensor is defined with the use of the Jacobian matrix as $$g_{\mu \nu}=J_{\mu}^a \: J_{\nu}^b \: \eta_{ab}\tag{1}$$ where $J_{\mu}^a=\frac{\partial \bar{x}^a}{\partial x^{\mu}}$ (Added: where barred symbols denote Minkowskian coordinates and unbarred ones stand for curvilinear coordinate...
This question arises from my daily experience as a tennis player. I'm a novice to tribology. I couldn't quite come up with anything to answer that question. Any help? I know for certain that the rubber sole of a tennis shoe wears out from sliding on clay, but I don't know what type of clay it happens faster sliding aga...
I am trying to solve the Differential Equation in Mathematica but it is giving me error. How to find it's solution in Mathematica or in general. $$y'''=\frac{\omega^2E}{B}-\omega^2y'$$ The above equation is for the angular frequency of a charged particle moving inside a magnetic field.
I am wondering about the origin of the $\ell \leq n-1$ orbital filling rule. For the hydrogen atom, I believe the reason is because in the spatial wave function there is the term $$\psi \propto \sqrt{(n-\ell-1)!}$$ so if $\ell > n-1$, by the definition of the factorial, $\psi$ goes to $0$. However, what about atoms wit...
If a scuba diver dives into a depth of 10 metres, then he will face a pressure of 2 atm on every square metre of his body...if he takes pressurized air...this supports his lungs from being squeezed...but how about the blood pressure (roughly 1 atm)? How is he going to keep him alive? It seems he needs a space suit to s...
The Wikipedia page on quantizing the electromagnetic field gives the following Hamiltonian and 3-momentum operators: \begin{align} H&=\sum_{\mathbf{k},\mu} \hbar \omega N^{(\mu)}(\mathbf{k})\\ \mathbf{P}&=\sum_{\mathbf{k},\mu} \hbar \mathbf{k} N^{(\mu)}(\mathbf{k}), \end{align} where $N^{(\mu)}(\mathbf{k})$ is the numb...
There is an innumerable quantity of questions and answers on this site about spatial, spacetime, and temporal curvature. None of these answer my question. Unfortunately, many use the terms in different, sometimes confusing ways, that make it unclear what we exactly mean by our universe's spatial curvature, spacetime cu...
A phase retarder is generally some birefringent material used to modulate the phase of polarized light. A common example is a half-wave plate, which rotates linearly polarized light symmetrically about its fast axis. Using Jones calculus, we can describe the Jones matrix associated with an arbitrarily-oriented retarder...
As part of learning about SUSY quantum mechanics, I am trying to get a grasp on the following Lagrnagians in 1 (temporal dimension): But since these early times the treatment and methods of field theory have changed drastically, and not all beginners have the solid background which is required to understand the introd...
I watched Interstellar and I got really confused around different time thing. How can it be possible at all that time is different at different places in the universe? Please explain.
Consider the Ising model on a d-dimensional hypercubic lattice with nearest-neighbor coupling $J=1$: $$H=-\sum_{\langle ij \rangle}\sigma_i\sigma_j$$ For small $\beta$ (corresponding to high temperature), we can expand the partition function in terms of a high temperature series involving a "sum over loops" in the latt...
Let’s say that someone measures the distance from a rocket to the earth's surface to be equal to $h=10[m]$ (meters) at time $t=5[s]$ (seconds) (in a Cartesian coordinate system) - so our vector with data from physical measurements is the following: $$V=( 10[m], 5 [s])$$ I want to transform this vector to a Polar coordi...
I think it was my graduate quantum mechanics textbook (Gottfried and Yan), I read a description of the double slit experiment. It first described how the act of measuring which slit the particle goes through destroys the interference pattern. Then it went on to give a detailed exposition. It gave a example in which ...
There is a standard diagram for deriving time dilation in special relativity. So say there's a ship in deep space with observer O' in inertial reference frame S' moving to the right with respect to an observer O in inertial reference frame S. In frame S', the path of light in his light clock is vertical whereas in fram...
A neutral kaon is a mix of a particle and antiparticle, in layman's terms. In layman's terms, how is this possible without there being annihilation?
According to Mach's Principle, angular momentum (as in the Newton bucket experiment) is relative to the overall mass distribution of the universe, or perhaps some other characteristic of the universe's overall space-time metric. Also, according to the Einstein-de Haas experiment, electron spin angular momentum is made ...
The general form for the time-dependent Schrödinger equations is $$i\hbar\frac{\partial\Psi}{\partial{t}}=\hat{H}\Psi$$ with $\hat{H}$ being the Hamiltonian operator, which as I understand it describes the energy of the system, and I know that $$\frac{\partial\Psi}{\partial{t}}$$ is the partial derivative of the wave f...
Let's assume that the experiment is done in a vacuum and there's a circuit as in the attachment. The values of voltage/resistance/capacitance are insignificant. Assume that the right terminals of capacitors and the wire that connect them are made from antimatter, all else is made from regular matter. My question is, wo...
I am studying Ben Craps' lecture notes Big Bang Models In String Theory for my undergraduate thesis. I am not well versed in topology, and would like intuitive explanations for certain ideas regarding Asymptotically Locally Euclidean (ALE) singularities. Firstly, the author states. The orbifold has a singularity at th...
I've noticed that all of the above-ceiling water tanks are piped in a way that ensures to be open to the air at the tank, and then these water-carrying pipes go down to the kitchen or rest rooms,..etc I mean that water won't flow in the kitchen's nor toilet's pipes without being open to the atmosphere at the tank p...