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Следует ли из совпадения предсказаний эквивалентность моделей?

Лоренц и СТО дают на опыте 1887 года одно и то же и остаются разными теориями: одна считает местное время вспомогательной переменной, другая — показанием часов. Совпадение установлено для ЭТОЙ постановки.

This is an assistant explanation, not a calculation result. Check the grounds and sources below.

Results

4

Condition

Лоренц и СТО дали одно и то же — и расходятся в местном времени

Established

Query parameters · 4
a
mm-lorentz
b
mm-einstein
o
observable: the shift of the interference fringes on turning the apparatus through a right angle, in fringe widths
p
principle: local time is an auxiliary variable of the transformation, not the reading of a moving observer's clock
Input facts · 9

  • the setting is declared: the operational conditions of the experiment are named

    s: mm

  • the setting is declared to be the Michelson–Morley experiment of 1887: its parameters are taken from the pinned bytes of the article

    s: mm

  • the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition

    s: mmv: 29979.2458 m_per_s

  • the run belongs to this theory and this setting

    rts
    mm-efirthe simple stationary luminiferous ether model in an authored reconstruction: a preferred frame, absolute time, Galilean transformations, c relative to the medium, no dragging and no contractionmm
    mm-lorentzLorentz's electrodynamics of moving bodies in the 1904 formulation: a stationary aether, local time as an auxiliary variable, contraction of bodies and altered molecular forcesmm
    mm-einsteinspecial relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocitiesmm

  • §4: the factor k presented by the case; defined by k² = c²/(c² − w²), an identity verifiable without a square root

    r: mm-lorentzk: 1

  • the relative motion of the two frames to which the computing package will refer the quantities of this run

    r: mm-einsteinmo: mm-dvizhenie

  • §3: the Lorentz factor presented by the case; its agreement with the speed is checked by the computing package by an identity without a square root

    r: mm-einsteing: 1
Issues · 2
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
Why this result? →Sources: 74

На опыте 1887 года Лоренц и СТО дают одно и то же наблюдаемое и остаются разными теориями: одна считает местное время вспомогательной переменной преобразования, другая — показанием часов.

Condition

Совпадение установлено ДЛЯ ЭТОЙ постановки и ни для какой другой

Established

Query parameters · 4
a
mm-lorentz
b
mm-einstein
o
observable: the shift of the interference fringes on turning the apparatus through a right angle, in fringe widths
s
mm
Input facts · 9

  • the setting is declared: the operational conditions of the experiment are named

    s: mm

  • the setting is declared to be the Michelson–Morley experiment of 1887: its parameters are taken from the pinned bytes of the article

    s: mm

  • the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition

    s: mmv: 29979.2458 m_per_s

  • the run belongs to this theory and this setting

    rts
    mm-efirthe simple stationary luminiferous ether model in an authored reconstruction: a preferred frame, absolute time, Galilean transformations, c relative to the medium, no dragging and no contractionmm
    mm-lorentzLorentz's electrodynamics of moving bodies in the 1904 formulation: a stationary aether, local time as an auxiliary variable, contraction of bodies and altered molecular forcesmm
    mm-einsteinspecial relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocitiesmm

  • §4: the factor k presented by the case; defined by k² = c²/(c² − w²), an identity verifiable without a square root

    r: mm-lorentzk: 1

  • the relative motion of the two frames to which the computing package will refer the quantities of this run

    r: mm-einsteinmo: mm-dvizhenie

  • §3: the Lorentz factor presented by the case; its agreement with the speed is checked by the computing package by an identity without a square root

    r: mm-einsteing: 1
Issues · 2
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
Why this result? →Sources: 74

Condition

Эквивалентность моделей отсюда НЕ следует

Not established

Query parameters · 2
a
Lorentz's electrodynamics of moving bodies in the 1904 formulation: a stationary aether, local time as an auxiliary variable, contraction of bodies and altered molecular forces
b
special relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocities
Input facts · 9

  • the setting is declared: the operational conditions of the experiment are named

    s: mm

  • the setting is declared to be the Michelson–Morley experiment of 1887: its parameters are taken from the pinned bytes of the article

    s: mm

  • the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition

    s: mmv: 29979.2458 m_per_s

  • the run belongs to this theory and this setting

    rts
    mm-efirClassicalEthermm
    mm-lorentzLorentz's electrodynamics of moving bodies in the 1904 formulation: a stationary aether, local time as an auxiliary variable, contraction of bodies and altered molecular forcesmm
    mm-einsteinspecial relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocitiesmm

  • §4: the factor k presented by the case; defined by k² = c²/(c² − w²), an identity verifiable without a square root

    r: mm-lorentzk: 1

  • the relative motion of the two frames to which the computing package will refer the quantities of this run

    r: mm-einsteinmo: mm-dvizhenie

  • §3: the Lorentz factor presented by the case; its agreement with the speed is checked by the computing package by an identity without a square root

    r: mm-einsteing: 1
Why this result? →Sources: 32

Совпадение установлено ДЛЯ ЭТОЙ наблюдаемой НА ЭТОЙ постановке, и распространить его дальше нечем. Эквивалентность моделей отсюда не следует, и запрос о ней отвечает «не установлено»: ни одно правило методики её не производит.

Совпадение установлено ДЛЯ ЭТОЙ постановки и ни для какой другой

Condition

И на другой постановке те же две модели уже не совпадают

Not established

Query parameters · 4
q
question 3: the readings of moving clocks and the length of a moving rod
a
sim-lorentz
b
sim-einstein
o
observable: the time interval of the process measured in the frame moving relative to it, in seconds
Input facts · 15

  • the setting is declared: the operational conditions of the experiment are named

    s: sim

  • both frames of the setting are declared inertial

    s: sim

  • the distance between the two events along the direction of motion, measured with the rulers of the laboratory frame

    s: simdx: 299792458 m

  • the difference of the readings of the synchronised laboratory clocks at the places of the two events

    s: simdt: 0 s

  • the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition

    s: simv: 179875474.8 m_per_s

  • the proper time interval of the process: measured where its beginning and end occur at the same place

    s: simtau: 4 s

  • the proper length of the rod: measured by an observer at rest relative to both of its ends

    s: siml0: 10 m

  • what is carried is a body with rest mass, not a light signal

    s: sim

  • the speed of the body relative to the SECOND frame along the x axis — the speed to be composed with the frame speed

    s: simu: 179875474.8 m_per_s

  • the run belongs to this theory and this setting

    rts
    sim-efirthe simple stationary luminiferous ether model in an authored reconstruction: a preferred frame, absolute time, Galilean transformations, c relative to the medium, no dragging and no contractionsim
    sim-lorentzLorentz's electrodynamics of moving bodies in the 1904 formulation: a stationary aether, local time as an auxiliary variable, contraction of bodies and altered molecular forcessim
    sim-einsteinspecial relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocitiessim

  • §4: the factor k presented by the case; defined by k² = c²/(c² − w²), an identity verifiable without a square root

    r: sim-lorentzk: 5/4

  • the relative motion of the two frames to which the computing package will refer the quantities of this run

    r: sim-einsteinmo: sim-dvizhenie

  • §3: the Lorentz factor presented by the case; its agreement with the speed is checked by the computing package by an identity without a square root

    r: sim-einsteing: 5/4
Issues · 2
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
  • редакция urn:bipm:clir:si-brochure#SI_BROCHURE_8_EN на дату права 2026-09-08 закрыта (in_force с 2006-01-01) — 4 узлов не участвуют в вычислении (§92.3/§31, E-0095)
Why this result? →Sources: 71

На другой постановке те же две модели уже не совпадают: там, где статья 1904 года молчит о ходе часов, совпадать нечему.

How to cite

The snapshot is immutable: the SHA-256 of the downloadable JSON pins it, so no access date is needed.

Citation
“Следует ли из совпадения предсказаний эквивалентность моделей?”. Arxo Lens, as of 2026-09-08. https://lens.arxo.io/a/b_2de754b25ef703b4fb114a065de4c5a1db92c8f699753c7046050492a388f810. Snapshot SHA-256: 2de754b25ef703b4fb114a065de4c5a1db92c8f699753c7046050492a388f810.
BibTeX
@misc{arxo-lens-b_2de754b25ef7,
  title = {Следует ли из совпадения предсказаний эквивалентность моделей?},
  howpublished = {Arxo Lens},
  url = {https://lens.arxo.io/a/b_2de754b25ef703b4fb114a065de4c5a1db92c8f699753c7046050492a388f810},
  note = {as of 2026-09-08; SHA-256 2de754b25ef703b4fb114a065de4c5a1db92c8f699753c7046050492a388f810}
}
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