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THE PROPER-TIME

  • Proper time
  • Elapsed time between two events as measured by a clock that passes through both events

    In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line. The proper time interval between

    Proper time

    Proper time

    Proper_time

  • The Proper Time
  • 1962 American film

    The Proper Time is a 1961 film starring Tom Laughlin. Shot for roughly $28,000 in 1958, it Laughlin's directorial and screenwriting debut. Laughlin stars

    The Proper Time

    The_Proper_Time

  • Time dilation
  • Measured time difference as explained by relativity theory

    he was also the first to point out its reciprocity or symmetry. Subsequently, Hermann Minkowski (1907) introduced the concept of proper time which further

    Time dilation

    Time_dilation

  • Measure problem (cosmology)
  • Concept in cosmology

    physicists reject the simple proper-time cutoff as a failed hypothesis. Time can be parameterized in different ways than proper time. One choice is to

    Measure problem (cosmology)

    Measure_problem_(cosmology)

  • Gravitational time dilation
  • General-relativistic effect

    difference in the passage of proper time at different positions as described by a metric tensor of spacetime. The existence of gravitational time dilation

    Gravitational time dilation

    Gravitational_time_dilation

  • Coordinate time
  • Time coordinate in relativity theory

    proper time. In the special case of an inertial observer in special relativity, by convention, the coordinate time at an event is equal to the proper

    Coordinate time

    Coordinate_time

  • Proper length
  • Length of an object in the object's rest frame

    to proper time. The difference is that the proper distance is defined between two spacelike-separated events (or along a spacelike path), while the proper

    Proper length

    Proper_length

  • Spacetime
  • Mathematical model combining space and time

    integrating the proper time between the respective events along the curve (i.e. the path integral) to calculate the total amount of proper time experienced

    Spacetime

    Spacetime

    Spacetime

  • Four-velocity
  • Analogue of velocity in four-dimensional spacetime

    object. The four-velocity is the rate of change of four-position with respect to the proper time along the curve. The velocity, in contrast, is the rate

    Four-velocity

    Four-velocity

  • Comoving and proper distances
  • Measurement of distance

    the expansion of the universe. Comoving distance and proper distance are defined to be equal at the present time. At other times, the Universe's expansion

    Comoving and proper distances

    Comoving and proper distances

    Comoving_and_proper_distances

  • Spacetime diagram
  • Graph of space and time in special relativity

    placed at regular intervals of proper time along the world line. The solid diagonal lines are the light cones for the observer's current event, and they

    Spacetime diagram

    Spacetime diagram

    Spacetime_diagram

  • Twin paradox
  • Thought experiment in special relativity

    such as radium, showing by integration of the proper time of a co-moving accelerated observer, that the time experienced by that observer is shorter than

    Twin paradox

    Twin paradox

    Twin_paradox

  • History of the twin paradox
  • Chronology of development from 1905

    to the fact, that the proper time is maximal along the straight worldlines of non-accelerated clocks. Laue pointed out that the relativity of time and

    History of the twin paradox

    History_of_the_twin_paradox

  • International Atomic Time
  • Time standard based on atomic clocks

    standard based on the notional passage of proper time on Earth's geoid. TAI is a weighted average of the time kept by over 450 atomic clocks in over 80

    International Atomic Time

    International_Atomic_Time

  • Geodesics in general relativity
  • Generalization of straight line to a curved space time

    motion (e.g. the proper time), and Γ μ α β {\displaystyle \Gamma ^{\mu }{}_{\alpha \beta }} are Christoffel symbols (sometimes called the affine connection

    Geodesics in general relativity

    Geodesics_in_general_relativity

  • Proper acceleration
  • Physical acceleration experienced by an object

    coordinate time. In an inertial frame in which the object is momentarily at rest, the proper acceleration 3-vector, combined with a zero time-component

    Proper acceleration

    Proper acceleration

    Proper_acceleration

  • Lemaître coordinates
  • Coordinate system

    article for the time coordinate should not be confused with the proper time. It is true that τ {\displaystyle \tau } gives the proper time for radially

    Lemaître coordinates

    Lemaître_coordinates

  • Kip King
  • American actor

    Family - Second Musician The Proper Time - Jerry Rohn The Rifleman - Donnel O'Mahoney The Smothers Brothers Show - Messenger The Walter Winchell File - Freddy

    Kip King

    Kip King

    Kip_King

  • Coordinated Universal Time
  • Primary time standard globally used to regulate clocks and time

    subtracting the accumulated leap seconds from International Atomic Time (TAI), which is a coordinate time scale tracking notional proper time on the rotating

    Coordinated Universal Time

    Coordinated Universal Time

    Coordinated_Universal_Time

  • Proper velocity
  • Ratio in relativity

    displacement vector x {\displaystyle {\textbf {x}}} and proper time τ elapsed on the clocks of the traveling object: w = d x d τ {\displaystyle {\textbf

    Proper velocity

    Proper velocity

    Proper_velocity

  • Grandfather clock
  • Tall, freestanding, weight-driven pendulum clock

    calibrated to keep the proper time. The case often features elaborately carved ornamentation on the hood (or bonnet), which surrounds and frames the dial, or clock

    Grandfather clock

    Grandfather_clock

  • World line
  • Path of an object through spacetime

    point. The arclength parameter is called proper time and usually denoted τ. The length of M is called the proper time of the particle. If the worldline

    World line

    World_line

  • Experimental testing of time dilation
  • Tests of special relativity

    corresponding with the mean decay time of the muon in its proper frame. As the muon is at rest in S′, we have γ=1 and its proper time T′0 is measured. As

    Experimental testing of time dilation

    Experimental testing of time dilation

    Experimental_testing_of_time_dilation

  • Schwarzschild metric
  • Solution to the Einstein field equations

    {\displaystyle \tau } is the proper time (time measured by a clock moving along the same world line with a test particle), c {\displaystyle c} is the speed of light

    Schwarzschild metric

    Schwarzschild_metric

  • Schwarzschild geodesics
  • Paths of particles in the Schwarzschild solution to Einstein's field equations

    {\displaystyle \tau } , in the case of a test particle of small positive mass, is the proper time (time measured by a clock moving with the particle) in seconds

    Schwarzschild geodesics

    Schwarzschild_geodesics

  • Modulated neutron initiator
  • Neutron source used in some nuclear weapons

    initiation of the fission chain reaction at the proper time. To obtain a significant nuclear yield, sufficient neutrons must be present within the supercritical

    Modulated neutron initiator

    Modulated_neutron_initiator

  • Terrestrial Time
  • Time standard for astronomical observations from the Earth

    approximately matched the rate of proper time on the Earth's surface at mean sea level. Thus the exact ratio between TT time and TCG time was 1 − L G {\displaystyle

    Terrestrial Time

    Terrestrial_Time

  • Relativistic Doppler effect
  • Scientific phenomenon

    waves in the wavepacket are received by the receiver with the last wave reaching it at B. The proper time for the duration of the packet in the tuning fork's

    Relativistic Doppler effect

    Relativistic Doppler effect

    Relativistic_Doppler_effect

  • Proper (liturgy)
  • Parts of the liturgy changing over the course of the year

    The proper (Latin: proprium) is a part of the Christian liturgy that varies according to the date, either representing an observance within the liturgical

    Proper (liturgy)

    Proper (liturgy)

    Proper_(liturgy)

  • Unruh effect
  • Kinematic prediction of quantum field theory for an accelerating observer

    ordinary Minkowski time as the detector accelerates, and they change in frequency by enormous factors, even after only a short proper time. Translation in

    Unruh effect

    Unruh_effect

  • Relativistic Lagrangian mechanics
  • Mathematical formulation of special and general relativity

    including rest energy. The form of the Lagrangian also makes the relativistic action functional proportional to the proper time of the path in spacetime.

    Relativistic Lagrangian mechanics

    Relativistic Lagrangian mechanics

    Relativistic_Lagrangian_mechanics

  • China proper
  • Geopolitical term

    China proper, also called Inner China, are terms used primarily in the Western world in reference to the traditional "core" regions of Chinese civilization

    China proper

    China proper

    China_proper

  • Tom Laughlin
  • American actor and filmmaker (1931–2013)

    pain in the ass." Laughlin made his directorial debut later that year with The Proper Time, though the film wasn't released until 1962. The film was

    Tom Laughlin

    Tom Laughlin

    Tom_Laughlin

  • One-electron universe
  • Postulate in particle physics

    1103/PhysRev.76.749. S2CID 120117564. Nambu, Yoichiro (1950). "The Use of the Proper Time in Quantum Electrodynamics I". Progress of Theoretical Physics

    One-electron universe

    One-electron_universe

  • João Carvalho (fighter)
  • Portuguese mixed martial arts fighter (1988-2016)

    has any idea about MMA knows the fight was stopped at the exact proper time. I am an experienced referee and part of the Irish Amateur Pankration Association

    João Carvalho (fighter)

    João_Carvalho_(fighter)

  • Gullstrand–Painlevé coordinates
  • Coordinates suitable for following a free-falling observer in a Schwarzchild metric

    electric charge or angular momentum. The ingoing coordinates are such that the time coordinate follows the proper time of a free-falling observer who starts

    Gullstrand–Painlevé coordinates

    Gullstrand–Painlevé_coordinates

  • Malament–Hogarth spacetime
  • Type of relativistic spacetime

    finite interval in the past of p, but the proper time along λ {\displaystyle \lambda } is infinite. The event p is known as an M-H event. The boundary between

    Malament–Hogarth spacetime

    Malament–Hogarth_spacetime

  • Time in physics
  • Fundamental quantity in physics

    ^{2}\theta \;d\phi ^{2}}}} is the change in proper time d τ {\displaystyle d\tau } , or the interval of proper time. Or one could use the following simpler approximation:

    Time in physics

    Time in physics

    Time_in_physics

  • Geocentric Coordinate Time
  • Time standard used in astronomy

    pertaining to precession, nutation, the Moon, and artificial satellites of the Earth. It is equivalent to the proper time experienced by a clock at rest in

    Geocentric Coordinate Time

    Geocentric_Coordinate_Time

  • Barycentric Coordinate Time
  • Time standard for calculations pertaining to orbits

    spacecraft in the Solar System. It is equivalent to the proper time experienced by a clock at rest in a coordinate frame co-moving with the barycenter (center

    Barycentric Coordinate Time

    Barycentric_Coordinate_Time

  • Four-acceleration
  • Four-vector that is analogous to classical acceleration

    {A} } is defined as the rate of change in four-velocity U {\displaystyle \mathbf {U} } with respect to the particle's proper time along its worldline

    Four-acceleration

    Four-acceleration

  • Geodetic effect
  • Precession of satellite orbits due to a celestial body's presence affecting spacetime

    they rotate at a slightly different rate due to time dilation. Let τ be the gyroscope's proper time. Then Δ τ = ( 1 − 2 m r − r 2 β ω 2 ) 1 / 2 d t =

    Geodetic effect

    Geodetic effect

    Geodetic_effect

  • Dead time
  • Time after an event when a detector can't record another event

    resolution. Trigger logic is another possible source of dead time; beyond the proper time of the signal processing, spurious triggers caused by noise need

    Dead time

    Dead_time

  • Wormhole
  • Hypothetical topological feature of spacetime

    distinguishing proper and improper mixture. Accordingly, the destructive positive feedback loop of virtual particles circulating through a wormhole time machine

    Wormhole

    Wormhole

    Wormhole

  • Ritu (season)
  • Traditional seasons of the Indian calendar

    fixed or appointed time, especially the proper time for sacrifice (yajna) or ritual in Vedic religion; this in turn comes from the word Ṛta (ऋत), as used

    Ritu (season)

    Ritu_(season)

  • Fashion merchandising
  • Means of marketing fashion

    merchandising can be defined as the planning and promotion of sales by presenting a product to the right market at the proper time, by carrying out organized

    Fashion merchandising

    Fashion_merchandising

  • Ṛtú
  • Sanskrit word referring to a fixed or appointed time

    appointed time, especially the proper time for sacrifice (yajna) or ritual in Vedic Religion. The word is so used in the Rigveda, the Yajurveda and the Atharvaveda

    Ṛtú

    Ṛtú

  • E-folding
  • Time interval in science

    cosmology the e-folding time scale is the proper time in which the length of a patch of space or spacetime increases by the factor e. In finance, the logarithmic

    E-folding

    E-folding

  • Theory of relativity
  • Two interrelated physics theories by Albert Einstein

    time, relativity of simultaneity, kinematic and gravitational time dilation, and length contraction. In the field of physics, relativity improved the

    Theory of relativity

    Theory of relativity

    Theory_of_relativity

  • Fermi coordinates
  • Local coordinates that are adapted to a geodesic

    being the proper time along γ {\displaystyle \gamma } in the spacetime M {\displaystyle M} . Assume that p = γ ( 0 ) {\displaystyle p=\gamma (0)} is the initial

    Fermi coordinates

    Fermi_coordinates

  • Proper reference frame (flat spacetime)
  • Coordinates system in an accelerating, "at rest" setting

    is the employment of the proper time of the accelerated observer as the time of the frame itself. This is connected with the clock hypothesis (which is

    Proper reference frame (flat spacetime)

    Proper_reference_frame_(flat_spacetime)

  • Relativistic rocket
  • Type of spacecraft

    {at'}{\sqrt {1+{\frac {(at')^{2}}{c^{2}}}}}}.} The time in the rest frame relates to the proper time by the hyperbolic motion equation: t ′ = c a sinh ⁡

    Relativistic rocket

    Relativistic_rocket

  • Albert Einstein
  • German-born theoretical physicist (1879–1955)

    him, including the element Einsteinium. In 1999, he was named Time's Person of the Century. Einstein was born in Ulm as a subject to the Kingdom of Württemberg

    Albert Einstein

    Albert Einstein

    Albert_Einstein

  • Gravitational field
  • Vector field representing a mass's effect on surrounding space

    τ {\displaystyle \tau } is the proper time for the particle, Γ μ ν λ {\displaystyle \Gamma _{\mu \nu }^{\lambda }} are the Christoffel symbols and repeated

    Gravitational field

    Gravitational field

    Gravitational_field

  • Raychaudhuri equation
  • Result in general relativity

    words, the above equation gives us the evolution equation for the expansion of the timelike congruence. If the derivative (with respect to proper time) of

    Raychaudhuri equation

    Raychaudhuri_equation

  • Time
  • Continuous progression from past to future

    (2000). "Subjective Time Versus Proper (Clock) Time". In Buccheri, R.; Di Gesù, V.; Saniga, Metod (eds.). Studies on the structure of time: from physics to

    Time

    Time

    Time

  • List of relativistic equations
  • this example the time measured in the frame on the vehicle, t, is known as the proper time. The proper time between two events - such as the event of light

    List of relativistic equations

    List_of_relativistic_equations

  • Sweden proper
  • Term used to distinguish between fully integrated parts of Sweden and its territories

    Sweden proper (Swedish: Egentliga Sverige, literally 'Actual Sweden') is a term used to distinguish those territories that were fully integrated into the Kingdom

    Sweden proper

    Sweden proper

    Sweden_proper

  • Proper Patola
  • Punjabi and Hindi film song

    "Proper Patola" is a Punjabi and Hindi song by Diljit Dosanjh and Badshah, released in 2013. The song was recreated by Badshah for the Bollywood film

    Proper Patola

    Proper_Patola

  • Event horizon
  • Region in spacetime from which nothing can escape

    strange effects and does, in fact, pass through the calculated boundary in a finite amount of its proper time. A misconception concerning event horizons,

    Event horizon

    Event horizon

    Event_horizon

  • Time-division multiple access
  • Channel access method for networks using a shared communications medium

    received at the proper time. Finally, if the mobile is beyond the 35 km cell range of GSM, the transmission will arrive in a neighbouring time slot and be

    Time-division multiple access

    Time-division multiple access

    Time-division_multiple_access

  • Dry heat sterilization
  • Use of dry, hot air to eliminate pathogens

    passed inward to the next layer. Eventually, the entire item reaches the proper temperature needed to achieve sterilization. The proper time and temperature

    Dry heat sterilization

    Dry_heat_sterilization

  • Peres metric
  • Metric in relativity

    In mathematical physics, the Peres metric is defined by the proper time d τ 2 = d t 2 − 2 f ( t + z , x , y ) ( d t + d z ) 2 − d x 2 − d y 2 − d z 2 {\displaystyle

    Peres metric

    Peres_metric

  • Second
  • SI unit of time

    The second (symbol: s) is a unit of time derived from the division of the day, first into 24 hours, then into 60 minutes, and lastly into 60 seconds,

    Second

    Second

    Second

  • Equation of state (cosmology)
  • Equation of state in cosmology

    a\propto t^{\frac {2}{3(1+w)}},} where t {\displaystyle t} is the proper time. In general the Friedmann acceleration equation is 3 a ¨ a = Λ − 4 π G ( ε

    Equation of state (cosmology)

    Equation of state (cosmology)

    Equation_of_state_(cosmology)

  • Alcubierre drive
  • Hypothetical FTL transportation by warping space

    where α is the lapse function that gives the interval of proper time between nearby hypersurfaces, βi is the shift vector that relates the spatial coordinate

    Alcubierre drive

    Alcubierre drive

    Alcubierre_drive

  • Length contraction
  • Contraction of length in the direction of propagation in Minkowski space

    contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's

    Length contraction

    Length contraction

    Length_contraction

  • Special relativity
  • Theory of interwoven space and time by Albert Einstein

    which the two events happen at the same place. In this frame, the separation in time, ⁠ Δ s / c {\displaystyle \Delta s/c} ⁠, is called the proper time. Δs2

    Special relativity

    Special relativity

    Special_relativity

  • Time machine
  • Device for time travel

    a proper time machine, although since it does not create the CTCs but rather uses CTCs inherent in the structure of the universe it is only a time machine

    Time machine

    Time_machine

  • Proper Dos
  • American hip hop group

    Proper Dos is an American hip hop group formed in the early 1990s in California, composed of rapper Frank Villareal and producer Ernie Gonzalez. The duo

    Proper Dos

    Proper Dos

    Proper_Dos

  • Emerald Knights
  • 1998 comic book story arc

    Hal and Parallax back in their proper time - Hal having defeated Sinestro on his own and Parallax revealing himself as the main villain behind Zero Hour

    Emerald Knights

    Emerald_Knights

  • Gravitational singularity
  • Condition in which spacetime itself breaks down

    their centers—points where the curvature of spacetime becomes infinite, and geodesics terminate within a finite proper time. However, it is unknown whether

    Gravitational singularity

    Gravitational_singularity

  • Kruskal–Szekeres coordinates
  • Coordinate system for the Schwarzschild geometry

    time in the past. This is just an artifact of how Schwarzschild coordinates are defined; a free-falling particle will only take a finite proper time (time

    Kruskal–Szekeres coordinates

    Kruskal–Szekeres coordinates

    Kruskal–Szekeres_coordinates

  • Nambu–Goto action
  • Invariant action in bosonic string theory

    of Lagrangian mechanics. Just as the action for a free point particle is proportional to its proper time – i.e., the "length" of its world-line – a relativistic

    Nambu–Goto action

    Nambu–Goto_action

  • Geodesic deviation
  • Bending of trajectories in general relativity by a tidal force

    often convenient to choose τ to be the object's proper time. If xμ(s,τ) are the coordinates of the geodesic γs(τ), then the tangent vector of this geodesic

    Geodesic deviation

    Geodesic_deviation

  • Synchronous frame
  • Reference frame

    reference frame in which the time coordinate defines proper time for all co-moving observers. It is built by choosing some constant time hypersurface as an

    Synchronous frame

    Synchronous_frame

  • Cauchy horizon
  • Null hypersurface in general relativity

    the horizon would cause a contraction of proper time and an increase of energy density that would grow exponentially for an observer approaching the horizon

    Cauchy horizon

    Cauchy_horizon

  • Rindler coordinates
  • Tool from special relativity

    observer's proper time will be equal to the coordinate time t {\displaystyle t} in Rindler coordinates, and this observer's proper acceleration defines the value

    Rindler coordinates

    Rindler_coordinates

  • Four-vector
  • Vector in relativity

    taken with respect to the proper time τ {\displaystyle \tau } . As proper time is an invariant, this guarantees that the proper-time-derivative of any four-vector

    Four-vector

    Four-vector

    Four-vector

  • Simchat Beit HaShoeivah
  • Jewish celebration

    judges the world for rainfall; therefore this ceremony, like the taking of the Four Species, invokes God's blessing for rain in its proper time. According

    Simchat Beit HaShoeivah

    Simchat Beit HaShoeivah

    Simchat_Beit_HaShoeivah

  • Rapidity
  • Measure of relativistic velocity

    Proper acceleration (the acceleration 'felt' by the object being accelerated) is the rate of change of rapidity with respect to proper time (time as

    Rapidity

    Rapidity

    Rapidity

  • Erik Proper
  • Dutch computer scientist (born 1967)

    architecture and enterprise engineering. Born in Rheden, Proper studied computer science at the Radboud University Nijmegen. In 1990 he received his MSc

    Erik Proper

    Erik_Proper

  • Formulations of special relativity
  • time t and proper time τ {\displaystyle \tau } have switched so that proper time τ {\displaystyle \tau } takes the role of the coordinate for the 4th spatial

    Formulations of special relativity

    Formulations_of_special_relativity

  • Samayā
  • Sanskrit term for time

    romanized: Samayā, lit. 'Time') or Samayam (Sanskrit: समयम्, romanized: Samayaṃ) is a Sanskrit term referring to the "appointed or proper time, [the] right moment

    Samayā

    Samayā

  • Gain-switching
  • Method to produce extremely short duration laser pulses

    injection, producing a smaller secondary pulse. If the injection current is rapidly switched off at the proper time, for example using a step recovery diode circuit

    Gain-switching

    Gain-switching

    Gain-switching

  • Bell's spaceship paradox
  • Thought experiment in special relativity

    definition. Since the rod is stationary in K0, the distance between the marks is the proper length of the rod regardless of the time lapse between the two markings

    Bell's spaceship paradox

    Bell's spaceship paradox

    Bell's_spaceship_paradox

  • Borde–Guth–Vilenkin theorem
  • Theorem in physical cosmology

    or a singularity within a finite amount of proper time into the past. In this context, we can define the average expansion rate as H a v = 1 τ f − τ

    Borde–Guth–Vilenkin theorem

    Borde–Guth–Vilenkin_theorem

  • Proper motion
  • Measure of observed changes in the apparent locations of stars

    the total proper motion (μ). It has dimensions of angle per time, typically arcseconds per year or milliarcseconds per year. Knowledge of the proper motion

    Proper motion

    Proper motion

    Proper_motion

  • Time and motion study
  • Business efficiency technique

    Jackson and Mr C.B. Thompson. Proper time studies are based on repeated observation, so that motions performed on the same part differently by one or

    Time and motion study

    Time and motion study

    Time_and_motion_study

  • End distortion
  • Shifting of the end of pulses

    pulses before the proper time. Marking end distortion is the continuation of marking pulses past the proper time. The magnitude of the distortion is expressed

    End distortion

    End_distortion

  • Path-ordering
  • Procedure of ordering a product operators

    fermionic then the sign will depend on the number of operator interchanges necessary to achieve the proper time ordering. Note that the statistical factors

    Path-ordering

    Path-ordering

  • Speed of light
  • Speed of electromagnetic waves

    becomes greater than the speed of light. These recession rates, defined as the increase in proper distance per cosmological time, are not velocities in

    Speed of light

    Speed of light

    Speed_of_light

  • The Knight's Tale
  • Part of the Canterbury Tales

    that holds the universe together in medieval cosmology. He describes the inevitability of death for all things at their proper time, using the destruction

    The Knight's Tale

    The Knight's Tale

    The_Knight's_Tale

  • Temporale
  • A main cycle of the General Roman Calendar

    Christmas and all the saints' days. The temporale is also known as the proper of time, with proper a noun in the sense 'that part of the Eucharist or liturgical

    Temporale

    Temporale

  • Four-force
  • 4-dimensional analogue of force used in theories of relativity

    four-force is defined as the rate of change in the four-momentum of a particle with respect to the particle's proper time. Hence,: F = d P d τ . {\displaystyle

    Four-force

    Four-force

  • Mongolia
  • Country in East Asia

    grandson Kublai Khan conquered China proper and established the Yuan dynasty. After the collapse of the Yuan, the Mongols retreated to Mongolia and resumed

    Mongolia

    Mongolia

    Mongolia

  • Spherically symmetric spacetime
  • Geometric system used in black hole physics

    the proper rate of change of the circumferential radius (that is, where τ {\displaystyle \tau } is the proper time). The parameter β r {\displaystyle

    Spherically symmetric spacetime

    Spherically_symmetric_spacetime

  • Conjugate points
  • In differential geometry

    point, the expansion parameter θ in Raychaudhuri's equation becomes negative infinite in a finite amount of proper time, indicating that the geodesics

    Conjugate points

    Conjugate_points

  • General relativity
  • Theory of gravitation as curved spacetime

    time as measured by clocks in a gravitational field—proper time, to give the technical term—does not follow the rules of special relativity. In the language

    General relativity

    General relativity

    General_relativity

  • Lithuania proper
  • Region of Lithuania

    Lithuania proper refers to a region that existed within the Grand Duchy of Lithuania where the Lithuanian language was spoken. The primary meaning is identical

    Lithuania proper

    Lithuania proper

    Lithuania_proper

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