Что происходит с расхождением моделей при малых скоростях?

При 0,001 c галилеева сумма даёт 1/500, релятивистская — 2000/1000001. Расхождение около 2·10⁻⁹ лежит в пределах объявленного допуска 10⁻⁶, но «в пределах допуска» не есть «совпало»: числа разные.

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

Results

Collection

При 0,001 c галилеева сумма даёт 1/500

1/500

Query parameters · 3

q: question 8: the divergence of the models at small speeds under a declared tolerance
r: slow-efir
o: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fraction

Input facts · 10

the setting is declared: the operational conditions of the experiment are named
s: slow
both frames of the setting are declared inertial
s: slow
what is carried is a body with rest mass, not a light signal
s: slow
the speed of the body relative to the SECOND frame along the x axis — the speed to be composed with the frame speed
s: slowu: 299792.458 m_per_s
the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition
s: slowv: 299792.458 m_per_s
the comparison tolerance for a dimensionless observable: an exact fraction declared by the setting
s: slowo: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fractiontol: 1/1000000

the run belongs to this theory and this setting

r	t	s
slow-efir	the 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 contraction	slow
slow-einstein	special relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocities	slow

the relative motion of the two frames to which the computing package will refer the quantities of this run
r: slow-einsteinmo: slow-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: slow-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: 68

Collection

Релятивистская — 2000/1000001, и обе дроби точны

2000/1000001

Query parameters · 3

q: question 8: the divergence of the models at small speeds under a declared tolerance
r: slow-einstein
o: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fraction

Input facts · 10

the setting is declared: the operational conditions of the experiment are named
s: slow
both frames of the setting are declared inertial
s: slow
what is carried is a body with rest mass, not a light signal
s: slow
the speed of the body relative to the SECOND frame along the x axis — the speed to be composed with the frame speed
s: slowu: 299792.458 m_per_s
the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition
s: slowv: 299792.458 m_per_s
the comparison tolerance for a dimensionless observable: an exact fraction declared by the setting
s: slowo: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fractiontol: 1/1000000

the run belongs to this theory and this setting

r	t	s
slow-efir	the 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 contraction	slow
slow-einstein	special relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocities	slow

the relative motion of the two frames to which the computing package will refer the quantities of this run
r: slow-einsteinmo: slow-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: slow-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: 68

При малых скоростях модели сближаются: при 0,001 c галилеева сумма даёт 1/500, релятивистская — 2000/1000001, и обе дроби точны.

При 0,001 c галилеева сумма даёт 1/500

Condition

При допуске 10⁻⁶ расхождение лежит в его пределах

Established

Query parameters · 4

q: question 8: the divergence of the models at small speeds under a declared tolerance
a: slow-efir
b: slow-einstein
o: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fraction

Input facts · 10

the setting is declared: the operational conditions of the experiment are named
s: slow
both frames of the setting are declared inertial
s: slow
what is carried is a body with rest mass, not a light signal
s: slow
the speed of the body relative to the SECOND frame along the x axis — the speed to be composed with the frame speed
s: slowu: 299792.458 m_per_s
the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition
s: slowv: 299792.458 m_per_s
the comparison tolerance for a dimensionless observable: an exact fraction declared by the setting
s: slowo: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fractiontol: 1/1000000

the run belongs to this theory and this setting

r	t	s
slow-efir	the 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 contraction	slow
slow-einstein	special relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocities	slow

the relative motion of the two frames to which the computing package will refer the quantities of this run
r: slow-einsteinmo: slow-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: slow-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: 68

Расхождение равно примерно 2·10⁻⁹, и при объявленном постановкой допуске 10⁻⁶ оно лежит в его пределах. Допуск здесь — объявленная величина постановки, а не погрешность измерения: это разные вещи, и вторая в этом расчёте не участвует.

Condition

Но «в пределах допуска» не есть «совпало»: числа разные

Not established

Query parameters · 4

q: question 8: the divergence of the models at small speeds under a declared tolerance
a: slow-efir
b: slow-einstein
o: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fraction

Input facts · 10

the setting is declared: the operational conditions of the experiment are named
s: slow
both frames of the setting are declared inertial
s: slow
what is carried is a body with rest mass, not a light signal
s: slow
the speed of the body relative to the SECOND frame along the x axis — the speed to be composed with the frame speed
s: slowu: 299792.458 m_per_s
the speed of the second frame relative to the laboratory along the x axis; the sign is the direction of the transition
s: slowv: 299792.458 m_per_s
the comparison tolerance for a dimensionless observable: an exact fraction declared by the setting
s: slowo: observable: the ratio of the composed speed to the speed of light — a dimensionless exact fractiontol: 1/1000000

the run belongs to this theory and this setting

r	t	s
slow-efir	the 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 contraction	slow
slow-einstein	special relativity in the 1905 formulation: an operational definition of simultaneity, two principles, the transformation of coordinates and time, the composition of velocities	slow

the relative motion of the two frames to which the computing package will refer the quantities of this run
r: slow-einsteinmo: slow-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: slow-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: 68

«В пределах допуска» не есть «совпало»: числа разные, и совпадение предсказаний не выводится. Предельного перехода два числовых примера не доказывают, и методика его не утверждает.

How to cite

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

Citation

“Что происходит с расхождением моделей при малых скоростях?”. Arxo Lens, as of 2026-09-08. https://lens.arxo.io/a/b_b77c55cf132e4f8a6e7454c04d2e1455a0d3e2ed2afc6c54842a1ba9213bf245. Snapshot SHA-256: b77c55cf132e4f8a6e7454c04d2e1455a0d3e2ed2afc6c54842a1ba9213bf245.

BibTeX

@misc{arxo-lens-b_b77c55cf132e,
  title = {Что происходит с расхождением моделей при малых скоростях?},
  howpublished = {Arxo Lens},
  url = {https://lens.arxo.io/a/b_b77c55cf132e4f8a6e7454c04d2e1455a0d3e2ed2afc6c54842a1ba9213bf245},
  note = {as of 2026-09-08; SHA-256 b77c55cf132e4f8a6e7454c04d2e1455a0d3e2ed2afc6c54842a1ba9213bf245}
}

Embed code

The card shows the result and links to the full analysis; it sets no cookies.

<iframe src="https://lens.arxo.io/embed/b_b77c55cf132e4f8a6e7454c04d2e1455a0d3e2ed2afc6c54842a1ba9213bf245?lang=en" width="100%" height="390" loading="lazy" title="Small speeds: within the tolerance — Arxo Lens" style="border:0"></iframe>

Anonymous visit statistics, no cookies.