What is Time: Definition and 1000 Discussions

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.

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  1. C

    Finding time difference between two arriving wave fronts

    For part(b), The solution is, However, where did they get the formula shown in red from? Many thanks!
  2. marcosdb

    I Time dilation from galactic gravitational mass

    I've been thinking about how rotational speeds don't fall off high distances from galactic centers, for which dark matter is generally an explanation for the increase in acceleration Speed = distance / time But time is relative What "time" is used in these calculations? Wouldn't time be...
  3. DaveC426913

    B How much time passes on Earth?

    The recent threads about relativity and the (ersatz) twin paradox got me flummoxed (again). I referenced a story (A World Out of Time) where the man character came back to an Earth that was 3 million years older than when he left. The reason is that he journeyed to the galactic centre and back...
  4. Lotto

    B Time dilation - what is the time on the Earth?

    If I understand it well, 10 s did really passed in the rocket, it is according to the observer on the Earth, but if the man in the rocket measured the time, he would measure 10 s. But when we say that the man in the rocket is in an inertial frame of reference as well, he can claim that because...
  5. B

    A Time dependent perturbation theory applied to energy levels

    Hello! I am reading this paper and in deriving equations 6/7 and 11/12 they claim to use second oder time dependent perturbation theory (TDPT) in order to get the correction to the energy levels. Can someone point me towards some reading about that? In the QM textbooks I used, for TDPT they just...
  6. alan123hk

    B Is A Universe w/o Mass Possible? Exploring Time & Matter

    Is it possible to have a universe with only space and time but no mass ? I ask this question because a friend told me that time is an illusion. In fact, time does not exist. Because of the existence of matter, time can be felt through the movement of matter. If matter does not exist, time does...
  7. M

    A The Effect of Time-Varying Electric Fields on a 2-Level Ion System

    Hello! If I have an ion which can be treated as a 2 level system, in a time varying electric field (the variation of the field doesn't need to be on or close to resonance, but for simplicity we can assume it is an oscillatory field) can I simply separate the problem into a center of mass motion...
  8. P

    A Time Travel, General Relativity & Information Paradoxes

    General relativity permits some exact solutions that allow for time travel. Some of these exact solutions describe universes that contain closed timlike curves, or world lines that lead back to the same point in spacetime. I wondered if these solutions also permits Causal loops? Such as the one...
  9. T

    I Time Dilation & Length Contraction: Graphically Explained

    The thread "twin paradox without math" inspired me try to find fully graphical solution of length contraction. Here is the result: Graph is 3D as I think that is ilustrative to make all in one graph, but I am sure that it is possible to do it in 2 or 3 2D slices. X and Y are spatial axes, T is...
  10. T

    I Hubble Parameter as function of time in universe models

    This graph shows ##H## as a function of time related to the L-CDM model. Do we (@Jorrie) have similar graphs e.g. for ##\Lambda=0##; ##k=-1## critical, ##\Lambda=0##; ##k=0## open, ##\Lambda=0##; ##k=+1## closed? That would be great, thanks in advance.
  11. Green dwarf

    I Time Dilation in Gravitational Field: Potential vs Field Strength

    I'm wondering is whether it is the gravitational potential (in J/kg) at a point in space that determines the rate of passage of time, or whether it is the gravitational field strength (in m/s2). To clarify, suppose you had a very heavy hollow spherical shell. The gravitational potential would...
  12. M

    Hop height of a rod and speed/ time if hit upward with force f

    I want to make a few of these if it will not cost a lot.
  13. Curiosity_0

    B Time for which a vertical projectile stays motionless in midair

    We know that if a projectile is thrown vertically, there will be a brief time when it momentarily stops. Can we calculate this brief moment?
  14. N

    I Time Dilation for Photons: Explained

    So, I have a question. The time dilation formula is: t = t₀ • 1 / √(1 - v²/c²) Let's take a photon that travels at c. In my opinion, for a photon "clock doesn't tick" and its life is just a moment. But when we calculate time dilation by this formula, then c over c is 1 and the root of 1 minus...
  15. J

    B Solving Kepler's 1st law as a function of time

    Hi I posted this differential equation to WolframAlpha https://www.wolframalpha.com/input?i2d=true&i=Power[\(40)Divide[a,1+b*cos\(40)y\(40)x\(41)\(41)]\(41),2]*y'\(40)x\(41)=c but no solution , " Standard computation time exceeded... Try again with Pro computation time " Should I ( buy and )...
  16. A

    B Time Shift Reference Point: Earth or Other?

    I have been thinking about the classic example of two twins traveling at different speeds and the effect of time passage. One twin that goes off to travel near the speed of light while the other twin is left on earth. We theorize that the traveling twin will pass through less time and be...
  17. K

    I Proper time in a curved space

    In special relativity we've the invariant ##\begin{aligned} d s^2=&-d t^2 \\ &+d x^2 \\+d y^2+d z \end{aligned}##. For a clock moving along a worldline the above equation reduces to ##\begin{aligned} d s^2=&-d t^2\end{aligned}## , hence we can say that the time measured by the clock moving...
  18. Halc

    I Einstein's Derivation of Elapsed Time for Remote Comoving Object

    This is a question on Einstein's 1907 paper first discussing equivalence principle and uniform acceleration. Picture a rigid accelerating object of length £ with a clock at each end. The rear accelerates for time τ (measured by the clock there) at a proper acceleration γ. The clock at the front...
  19. T

    I The pattern of one photon at a time passing through large-distance setups?

    Let's say that we're sending a collimated beam of EM radiation through a slit that's 3 cm wide, and it diffracts and forms a clear interference pattern on a screen, with the bands of brightness and darkness, or of high and low intensities. And next, we reduce the intensity of the beam until it...
  20. A

    A Current status of Tom Banks' Holographic space time?

    Interested in Banks' HST these days, for discussion,here are some abstract and an email from L.Smolin. A recent conclusive paper as well https://arxiv.org/abs/2201.06988 The formalism of Holographic Space-time (HST) is a translation of the principles of Lorentzian geometry into the language...
  21. Zimbalj

    A How to solve Diffusion Equation with time dependant conditions?

    U=U(x,t) Ut=DUxx; 0<=x<=L, t>0 U(x,0)=0 0<x<=L U(0,t)=a(t); t>0 *a(t) is known function* (dU/dx)=0 for x=L I have looked into many ways but not one is usable for diffusion equation with this boundary conditions.
  22. G

    I Are EM signals also analytical backwards in time?

    Hi. If I turn on an antenna, it starts sending out radiation. If I turn it off again, the radiation doesn't instantly disappear but dies out smoothly (exponentially?). But this also means the radiation is never completely gone. This looks time-asymmetric, which is weird for electrodynamics. It...
  23. S

    Understanding how time derivative = acceleration

    I'm having a hard time understanding some concepts and would really appreciate some help(not super smart so I need some things basically dumbed down). In my physics lab we're going over Newton's Second Law. There's a statement in the lab papers I don't understand. It states "As you should know...
  24. K

    I Solving for Extrema of Proper Time Integral

    The question is to extremize the proper time : ##\begin{aligned}\int d\tau=\int ( dt^{2}-dx^{2}\\ -dy^{2} \\ -dz^2)^{1/2} \end{aligned}## I've studied calculus of variations somewhat and a can solve a similar problem which I found in the mathematical methods book the author Mary Boas. The way...
  25. Ahmed1029

    I Coordinate and time transformations

    In describing the Galelian or Lorentz transformations, All books I've read keep talking about clocks and meter sticks, but I don't see how an event happening away from the observer could be instantaneously described by a set of coordinates and a point in time; information conveying the event...
  26. A

    B Time Dilation & Bosons: Decay Rate Changes?

    Hi, It is easy to find discussions about time dilation and muon Half-Life. Is it meaningful to discuss whether bosons capable of pair production can have their decay rate changed if they pass through material?
  27. Ahmed1029

    I Time dependence of kinetic energy in Lagrangian formulation

    Could kinetic energy possibly depend explicitly on time in the lagrangian for some arbitrary set of generalized coordinates?
  28. E

    I Time difference caused by length contraction

    The goal is to calculate the difference in the passage of time between two ends of a cabin which is accelerating upwards due to length contraction. To help in the calculations we can consult: https://arxiv.org/pdf/1807.05338.pdf There is an old problem called the 4/3 problem which has been...
  29. MatthewKM

    B Exploring the Link Between Entropy and the Arrow of Time in the Early Universe

    My understanding is that a sub atomic particle has no arrow of time. Clearly the Arrow of time as understood in our macroscopic world has one direction. Entropy being an arrow in the direction toward uniform distribution of the individual and or sums of all the forms of energy in a system and ...
  30. K

    I Proper Time Interval: Exploring its Definition on Wikipedia

    Wikipedia article on proper time "Given this differential expression for ##\tau##, the proper time interval is defined as ## \Delta \tau=\int_P d \tau=\int \frac{d s}{c} . ## Here ##P## is the worldline from some initial event to some final event with the ordering of the events fixed by the...
  31. M

    I Effect of time on density distribution+shape of uniformly dense sphere

    I agree with Doc. Al that, "For the simplified case of a uniform density spherical planet, the gravitational field varies linearly from 0 at the center to its full value at the surface." But, what is the effect, if any, on the shape and density distribution of such a sphere over time (e.g...
  32. C

    Free fall with a partial time provided

    I'm stuck on this problem, I've tried to follow techniques for similar questions, namely I seem to be struggling with these questions where I have to use an equation inside an equation. I've attached photos of my process so far, but obviously, I'm not getting the right answer because what I'm...
  33. A

    Needing some help about time of flight of a launched ball/horiz range

    The parts in bold are the questions and also highlights of my attempts at the solutions for each number and letter portion of the question. I attached a word doc to show the diagram and it also has the same questions ;) 4) A launcher is setup at the edge of a table as shown below: (I attached...
  34. bigmike94

    Which topics are best to focus on in my spare time for engineering?

    Summary: Which are the best engineering topics to really focus on during my spare time to prepare for the real world. Im on a physics and engineering degree, but will hopefully be doing a masters in engineering, my engineering modules are all the standard broad ones that most engineering...
  35. K

    I Hartle, Gravity pg 34: Question about Time in Non-Inertial Frames

    Hartle, gravity pg 34 " An observer in a inertial frame can construct a clock that measures the time t"*)Is time something else that exists irrespective of clocks? What we do is just that we measure it? Pg 35 " ...It's a central assumption of Newtonian mechanics that there is a single notion of...
  36. H

    Schools Taking in-person and online classes at two colleges at the same time?

    I am currently in a college. And the college that I am currently at doesn't offer the class online. Can I go to a different college to take the classes online, and still be at the same college I'm at? I need the class online, it makes my school life and work life function more smoothly.
  37. H

    I Def Proper Time GR: Half or Integral Along Path?

    In texts on General Relativity, the proper time ##d\tau^2 = -ds^2## (with an appropriate choice of metric signature) is commonly said that the time measured by a timelike observer traveling along a path is given by the integral of ##d\tau## along this path. Of course it's possible to construct a...
  38. besebenomo

    Magnetic flux of magnetic field changing as a function of time

    $$B(t) = B_{0} \frac{t^2}{T^2}$$ for ##0 \leq t \leq T## The issue here is more conceptual, because once I find the flux of B I know how to proceed to find the current. I got velocity (but it seems to me that it is the initial velocity), I could use it to find the time in function of space...
  39. hilbert2

    Medical Nootropics that improve motor reaction time

    Spearmint extract and lemon balm have an effect of making you faster in ball games and martial arts, not only improving mental cognition. https://www.nutritionaloutlook.com/view/nootropic-spearmint-extract-may-improve-reactive-agility-according-new-study The active compound in it seems to be...
  40. K

    I Using position of free particle to measure time

    Hartle, Gravity "An observer in an inertial frame can discover a parameter ##t##with respect to which the positions of all free particles are changing at constant rates. This is time" Then goes on to say "Indeed, inertial frames could be defined as Cartesian reference frames for which Newton’s...
  41. DaveC426913

    B Time Dimensions: Astronomy & Beyond

    This is really a conceptual question about time dimensions bit it came up in the context of astronomy so I'll put it here. I was gazing up at the sunset sky the other night and saw a very bright (twinkling) star. I was about to make a note about its location so I could look it up later. I...
  42. IXWELL

    B General Relativity & Grav. Time Dilation Qn

    hello I'm korean high school student and sorry for my poor English. I saw ## t_0=t_f\sqrt{1 -\frac{ 2GM}{rc^2}} ## in wikipedia. does ## \sqrt{1 -\frac{ 2GM}{rc^2}} ## of this equation have name like lorentz factor ## \frac{1}{\sqrt{1 -\frac{v^2}{c^2}}} ##of ## t=\frac{t_0}{\sqrt{1...
  43. S Holtom

    B Does the CMB give us absolute space and time in practice?

    Another noob relativity / cosmology question (although at least this time won't turn out to be a coding bug, as no code is involved...) AIUI, according to relativity, there is no privileged reference frame, and any inertial reference frame is as "correct" as any other. But... In practice, in...
  44. S

    How can l prove that Newton's laws are time invariant?

    how can l prove Newton's law is time invariant? if x (t) is a solution of dd/ddx x(t) = f(x(t)) then if l put y(-t) dd/ddt y(t)=dd/ddt x(-t). Now how dd/ddt x(-t) is equal to f(x(-t))?dd/ddt is second derivative with respect to time
  45. M

    Which factors of a PC determine the opening time of a program and a large file

    Hello. Would you please explain the factors that determines the opening time of a program or a big file. For example if you have a large excel file, why would you have a difficulty to open it, if it is very large? If it is in your PC's main storage, that is either HDD or SDD, is it reading...
  46. P

    Time to reach Max. Height for a kicked soccer ball

    Vvertical=15sin30 = 7.5m/s d=Vvertical*t+0.5atsquared 0=(7.5m/s)t+0.5(-9.81m/s)t squared 0=t(7.5m/s-4.9t) t= 1.53s t=1.53/2 t= 0.76s to reach the maximum height Is this correct?
  47. abdulbadii

    I Outright understanding L/R inductor time constant

    How is the real understanding, when an external constant E potential (voltage) is imposed/applied on a LR circuit, that is being charged as the characteristic L/R inductor time constant: the greater R the shorter time inductor get (full) charged This absolutely independent to the E; it could...
  48. Tertius

    A Possibility of Discrete Symmetries in GR: Exploring CPT Symmetry

    Our current model (FLRW) is clear that the universe has a continuous temporal asymmetry. This is seen as the expansion factor grows with time, and thermodynamically with entropy. A continuous transformation in the current model ##t \rightarrow t + dt## is not the same as ##t \rightarrow t - dt...
  49. Misha87

    B Harmonic oscillator and simple pendulum time period

    Hi, I have been thinking about pendulums a bit and discovered that a HO(harmonic Oscillator) will take the same time to complete one period T no matter which amplitude A/length l it has, if stiffness k and mass m are the same. But moving on to a simple pendulum suddenly the time period for one...
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