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Relativistic invariance and the expansion of the Universe

Релятивистская инвариантность и расширение вселенной

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Assuming the propagation of electromagnetic quanta to be governed by a rigorous continuity equation, we show that the requirement that this equation have the form of the usual Lorentz-covariant electromagnetic wave equation in vacuum implies properties of space-time which an observer is likely to describe as a uniform expansion in agreement with Hubble's law. By this approach the interference properties of quanta are also derived. The possible small-scale variations of the Hubble constant, suggested by observations of some extra-galactic objects, would with this interpretation of the galactic redshift appear less mysterious.

Riassunto

Supponendo che la propagazione dei quanti elettromagnetici sia governata da un'equazione di continuità rigorosa, si mostra che la condizione che questa equazione abbia la forma della solita equazione d'onda elettromagnetica nel moto, covariante secondo Lorentz, coinvolge proprietà dello spazio-tempo che un osservatore può descrivere come un'espansione uniforme d'accordo con la legge di Hubble. Da questo approccio si deducono anche le proprietà d'interferenza dei quanti. Le possibili variazioni in piccola scala della costante di Hubble, suggerite da osservazioni di certi oggetti extragalattici. apparirebbero meno misteriose con questa interpretazione dello spostamento verso il rosso delle galassic.

Резюме

Предполагая, что распространение злектромагнитных квантов определяется точным уравнением непрерывности, показывается, что из требования, чтобы это уравнение имело форму обычного Лорентц-ковариантного уравнения для электромагнитной волны в вакууме, вытекают свойства пространства-времени, которые следует, вероятно, описывать, как однородное расширение в соответствии с законом Хзббла. Используя этот подход, также выводятся свойства интерференции квантов. В связи с этой интерпретацией галактического красного смещения возможные мелкомасштабные изменения постоянной Хэббла, которые можно предположуть, исходя из наблюдений некоторых внегалактических обБектов, по-видимому, оказываются менее таинственными.

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  1. Lawrence Berkeley Laboratory, University of California, Berkeley, Cal.

    A. Bergström

  2. Research Institute of National Defense (FOA), Stockholm

    A. Bergström

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Bergström, A. Relativistic invariance and the expansion of the Universe. Nuov Cim B 27, 145–160 (1975). https://doi.org/10.1007/BF02726345

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