Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future. It is a component quantity of various measurements used to sequence events, to compare the duration of events or the intervals between them, and to quantify rates of change of quantities in material reality or in the conscious experience. Time is often referred to as a fourth dimension, along with three spatial dimensions.Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without circularity has consistently eluded scholars.
Nevertheless, diverse fields such as business, industry, sports, the sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.Time in physics is operationally defined as "what a clock reads".The physical nature of time is addressed by general relativity with respect to events in space-time. Examples of events are the collision of two particles, the explosion of a supernova, or the arrival of a rocket ship. Every event can be assigned four numbers representing its time and position (the event's coordinates). However, the numerical values are different for different observers. In general relativity, the question of what time it is now only has meaning relative to a particular observer. Distance and time are intimately related and the time required for light to travel a specific distance is the same for all observers, as first publicly demonstrated by Michelson and Morley. General relativity does not address the nature of time for extremely small intervals where quantum mechanics holds. At this time, there is no generally accepted theory of quantum general relativity. Time is one of the seven fundamental physical quantities in both the International System of Units (SI) and International System of Quantities. The SI base unit of time is the second. Time is used to define other quantities – such as velocity – so defining time in terms of such quantities would result in circularity of definition. An operational definition of time, wherein one says that observing a certain number of repetitions of one or another standard cyclical event (such as the passage of a free-swinging pendulum) constitutes one standard unit such as the second, is highly useful in the conduct of both advanced experiments and everyday affairs of life. To describe observations of an event, a location (position in space) and time are typically noted.
The operational definition of time does not address what the fundamental nature of it is. It does not address why events can happen forward and backward in space, whereas events only happen in the forward progress of time. Investigations into the relationship between space and time led physicists to define the spacetime continuum. General relativity is the primary framework for understanding how spacetime works. Through advances in both theoretical and experimental investigations of space-time, it has been shown that time can be distorted and dilated, particularly at the edges of black holes.
Temporal measurement has occupied scientists and technologists, and was a prime motivation in navigation and astronomy. Periodic events and periodic motion have long served as standards for units of time. Examples include the apparent motion of the sun across the sky, the phases of the moon, the swing of a pendulum, and the beat of a heart. Currently, the international unit of time, the second, is defined by measuring the electronic transition frequency of caesium atoms (see below). Time is also of significant social importance, having economic value ("time is money") as well as personal value, due to an awareness of the limited time in each day and in human life spans.
There are many systems for determining what time it is, including the Global Positioning System, other satellite systems, Coordinated Universal Time and mean solar time. In general, the numbers obtained from different time systems differ from one another.
In relation to travel back in time, we've all heard of the grandfather paradox, whereby killing your grandfather before they sired offspring would preclude your future existence. This contradiction leads to the conclusion that time travel to the past must be impossible.
But it doesn't quite end...
The picture of the question and my try:
Would it be possible for someone to double-check my answer for accuracy? I would greatly appreciate any feedback or guidance on this matter.
It is common to say that ##t## and ##-i\hbar\partial_t## are not operators in quantum mechanics. But I haven't seen a satisfying justification.
As an example of the precision of our discourse, someone has said that ##-i\hbar\partial_t## satisfies the definition of Hermicity, but it is not an...
(Yes, I'm guilty of passing along something incomplete and of utterly unknown provenance that someone saw somewhere and didn't understand. I feel dirty.)
∀t(T(x,t)⟹(¬H(x,t)∨H(x,t+Δt)))
Certainly, without specifying any of the variables, it's got to be useless. At least we can assume t and Δt...
Reading Griffiths book on electromagnetics I stumbled upon his analogy to Newton and acceleration. Author claims that the formula for time when acceleration and distance are given is: $$t= \sqrt{\frac{2\lambda}{a}}$$, all is clear beside 2 in the nominator. My calculations goes as follows: $$a =...
Talking to my AI assistant about the Double-slit experiments that have been conducted many times, I was interested in whether anyone had conducted experiments that would reveal unusual properties of the particles being experimented on from the point of view of time.
For example, place one slit...
Hello everyone,
I would be thankful ir someone explained where I am mistaken in this reasoning on Einstein’s mental experiment on Special Relativity.
Taking the railway as K reference frame, a light beam is thrown in the x positive direction the moment the train passes in the same positive...
Comparing "in a couple of weeks" and "in a couple of weeks' time", are there situations where one or the other would be slightly more suitable by way of more nuanced meaning?
I wrote a homage to Asimov's story "The Last Question".
I tried to use modern insights on the topics that were touched upon in the original story.
Those are, amongst others, Pernrose's CCC, Carols's suggested related relation between entropy and time and several others.
I wonder if I...
My wife read a bit of this book and lost interest :cry:. The condition is excellent, hardly used, and it looks new, with no creased pages. I'm willing to give this away to someone in North America who hasn't read this all-time classic yet.
Section 3.3 titled 'Solutions of the time-dependent Schrödinger equation' states in its 1st line that the time-dependent solution is not an eigenvalue equation:
The same section ends with a comment on eigenstates:
How do you reconcile this: are solutions to the time-dependent equation...
So in the model of Special Relativity, an object which is in motion is time-dilated. And let's say that we're trying to measure the kinematic time dilation of a moving clock.
So an atomic clock is placed on a dolly on a track and its sped along the track.
And due to the curvature of the Earth's...
A clock is set up to continuously broadcast its indicated time via radio waves to non accelerating observers in different inertial frames of reference.
The clock is accelerated and its tick rate is observed to decrease by all observers relative to the tick rates of their local clocks. Its...
In special relativity, is the derivative with respect to coordinate time of relative position equal to relative velocity?
Does it matter if constant velocity is used?
According to the problem statement: $$a = \frac{dv}{dt} = const \implies dt = \frac{dv}{a} \implies \int_{0}^{T} \,dt = \frac{1}{a} \int_{0}^{v_f} \,dv \implies T = \frac{v_f}{a}$$ Now, the distance covered is given by, $$L = \int_{0}^{T} v \,dt \implies L = \frac{1}{a} \int_{0}^{v_f} v \,dv...
Hi all,
I'm having a discussion with a friend. I hope this is the right forum.
My friend's first issue: He believes in science, but does not believe in time-dilation. He thinks that, in the atomic clocks at altitude experiment, the clocks just work differently because of less gravity, like...
So this may be a very simple problem to answer or a very stupid problem to even ask, but it’s something that I thought about and can’t quite figure it out. So my made up scenario is this.
Say we have a normal sized man, and when he throws a punch it takes him one second to complete the act of...
Hello everyone,
In light of this recent paper, I have some questions. I'm trying to deepen my understanding of information loss in the contexts of time dilation and quantum decoherence and would appreciate some insights grounded in established physics theories.
Time Dilation and Information...
I conceptually know how to solve this problem, what I struggle with is the direction of the acceleration.
For example to solve the first question I need to find the horizontal displacement when the ball hits the ground.
Therefore ##l_0= x(t_1)= x_0 + v_0 t_1##, where ##t_1## is the moment the...
To find the time of this problem, I used the equations 3 + (10 * x ) = 13.5 *x. 3 = 3.5*x. Therefore x was 0.857. To start off with child A was already three feet above ground and I got the answer to the time. However I couldn't find the height.
What is the consensus on how long it would take for a galaxy to form similar to the ones which I am reading about here with Z=20?
Galaxy formation time is probably of much interest right now.
Perhaps formation was much quicker shortly after the BB with higher gas densities...
Next, we assume a solution in this form:
Which simplifies (according to my notes) to this:
In the middle equation, we have factorised out the F(t). My question is why is it wavefunction(x,t) rather than wavefunction(x). I first thought it was a mistake in the notes, but it uses the same...
I remember one of the Ant-Man movies had time travel enabled by shrinking down to an incredibly small size. This seemed silly to me at first but then I realized that a second is much closer to the age of the universe than a Planck time is to a second. This is mind-boggling and the human brain...
I had an idea about a spacetime drive that *seems* as though it is an FTL drive while trying to outline a plot for a series of sci-fi short stories set in the late 22nd-early 23rd century (possibly later as well).
Instead of working with warping space ala Star Trek or utilizing a hyperdrive to...
Towards the end of proving Birkhoff's theorem, you have a line element of the form $$ds^2 = -b(t) \cdot (1 - a/r) dt^2 + (1 - a/r)^{-1} dr^2 + r^2 d\Omega^2$$where ##a## is some constant and ##b## is a (positive) function of ##t##. We are free to define a new coordinate ##t'## such that ##dt' =...
Hello,
In this study https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9784821/, the distance the punch travelled from start to impact is 0.49 meters and the time taken from start of punch (that's it, they define the start of punch as the moment the elbow first start to extend) to impact is 0.1...
Attempt : I start by compying and pasting the problem as it appeared in the text. Please note that for reasons of clarity, I replaced landing station ##\text{K}## with station ##\text{N}##.
Let me draw a picture of the problem situation. The landing stations M and N are shown in red and the...
my answer was D, which is correct considering the motion downwards eg, object thrown from a cliff
but what if an object is moving up?like a football being kicked?
i cant understand how this graph applies to that...
So I have the solution here and trying to understand what happened at the beginning of the second row! How did we get the exponential $$e^{i(\omega_m - \omega_0 ) t' }$$ ?
As far as I know a field is spatial&time region in which each point has a physical quantity associated with it (vector or scalar). We know from GR that in the case of the gravitational field it is due (only?) to a curvature of space. But what about the other fields? What gives the value...
Hello,
When dealing with a dataframe with two columns, X and T where T is time, the time column is often converted to be the index of the dataframe itself (which by default is 0,1,2,3,...). What is the advantage of doing that? I know how to implement that but I am not sure what the main benefit...
Hi, I'm sizing motor for a linear motion,
usually for the time distance graph would be looks like this,
however, how does the graph look like if the stroke is very short?
Example: velocity is 0.1m/s, acceleration is 1m/s2, moving stroke is 0.5mm, a cycle is within 0.05s
the application is to...
I have seen this in pop-science, is it correct? Does antiparticles move in the oppisite direction of time? Is it possible to prove this experimentaly? Does it have any practical consequenses? We use PET-scaning everyday, is there anything to consider when working with positrones connected with...
In a conversation Dr. Stephen Hawking said that he used Imaginary time as a 4th dimension to show that there was nothing before the big bang. How is it possible for Imaginary Time to act as a fourth dimension when it is still part of the ordinary time dimension?
Hello,
I was looking at my physics lab manual... There is a table reporting time and distance data which were both measured and collected (see below). My understanding is that the uncertainty for different and measured time instants should be the same because the time was measured with the same...
I understand that through process of elimination the only plausible solution is (E), but a question that rises up:
When the ball bounces, does the velocity change from negative to positive instantly (as shown by the dotted lines) or gradually (a very small time period, but still solid line)?
Hi - I'm using the ASHRAE guide equation to determine the time to freeze an insulated pipe and im comparing the values they used to their published table as a guide and I seem to be off by the same value as the Rt value, and I dont think they have neglected the thermal resistance of the...
Here is only my solution:
##A_1 \frac{\mathrm d h}{\mathrm d t}=-A_2\sqrt{2hg}##,
so by integrating we get
##h(t)=\left(\sqrt{h_0}-\frac{A_2}{2A_1}\sqrt{2g} t\right)^2.##
Setting ##h(T)=0## we get
##T=\frac{A_1}{A_2}\sqrt{\frac{2h_0}{g}}.##
By doing the first time derivative of ##h## we...
Physicists suggesting that observing space objects will be in a time that passed the time you are doing the observation if that object is far enough to exceed the distance the light photons can travel in respect to time (300,000 km/sec), anybody can refer me to equation, study or science that...
I am currently studying Newton's laws and mechanics. I have this question: Why is distance=half a*t^2? Where did the 1/2 come from? Can someone explain this without using calculus?
initial velocity y component is (cos30) * 20.
t = 25m / ((cos30) * 20)m/s = 1.45 seconds
d = vt + .5at^2
v= 20sin30
v= 10 , d= 10(1.45s) + .5(-9.8m/s^s)(1.45s)^2
d=4.2m
4.2-2.5 = +1.7m, so the ball will not hit the fence
I need confirmation please
Here is the definition of spacetime?
“In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.”
But if space is literally the absence of matter or physical properties, and time has no...