Os pesquisadores confirmaram uma suposição básica da física com precisão sem precedentes – que várias propriedades da massa, como peso, inércia e gravidade, são sempre equivalentes, independentemente da composição específica da massa envolvida. Isso reforça o princípio da equivalência, essencial para a teoria da relatividade de Einstein, e aborda o ponto crítico de diferença entre a física clássica e a física quântica.
Equipes de pesquisa da Leibniz University Hannover e da University of Bremen confirmam outro princípio de equivalência.
Os cientistas usaram meio século de dados de alcance do laser lunar para confirmar com precisão 100 vezes maior que todas as propriedades de massa são iguais. Essa descoberta apóia muito o princípio da equivalência de Einstein, que é a pedra angular da teoria da relatividade.
Uma das suposições mais básicas da física fundamental é que as diferentes propriedades da massa – peso, inércia e gravidade – sempre permanecem as mesmas em relação umas às outras. Sem essa equivalência, a teoria da relatividade de Einstein seria contraditória e os atuais livros de física teriam de ser reescritos. Embora todas as medições até o momento confirmem o princípio da equivalência, a teoria quântica postula que deve haver uma violação. Essa discrepância entre a teoria gravitacional de Einstein e a teoria quântica moderna é o motivo pelo qual testes mais rigorosos do princípio da equivalência são particularmente importantes.
Uma equipe do Centro de Tecnologia Espacial Aplicada e Microgravidade (ZARM) da Universidade de Bremen, em colaboração com o Instituto de Geodésia (IfE) da Universidade Leibniz de Hannover, demonstrou com sucesso que é 100 vezes maior.[{” attribute=””>accuracy that passive gravitational mass and active gravitational mass are always equivalent – regardless of the particular composition of the respective masses. The research was conducted within the framework of the Cluster of Excellence “QuantumFrontiers.” On July 13, the team published their findings as a highlights article in the scientific journal Physical Review Letters.
Binary system Earth-Moon. Credit: AEOS Medialab, ESA 2002
Physical context
Inertial mass resists acceleration. For example, it causes you to be pushed backward into your seat when the car starts. Passive gravitational mass reacts on gravity and results in our weight on Earth. Active gravitational mass refers to the force of gravitation exerted by an object, or more precisely, the size of its gravitational field. The equivalence of these properties is fundamental to general relativity. Therefore, both the equivalence of inertial and passive gravitational mass and the equivalence of passive and active gravitational mass are being tested with increasing precision.
First Author of the Publication, Vishwa Vijay Singh. Credit: Singh
What was the study about?
If we assume that passive and active gravitational mass are not equal – that their ratio depends on the material – then objects made of different materials with a different center of mass would accelerate themselves. Since the Moon consists of an aluminum shell and an iron core, with centers of mass offset against each other, the Moon should accelerate. This hypothetical change in speed could be measured with high precision, via “Lunar Laser Ranging.” This involves pointing lasers from Earth at reflectors on the Moon placed there by the Apollo missions and the Soviet Luna program. Since then, round trip travel times of laser beams are recorded. The research team analyzed “Lunar Laser Ranging” data collected over a period of 50 years, from 1970 to 2022, and investigated such mass difference effects. Since no effect was found, this means that the passive and active gravitational masses are equal to approximately 14 decimal places. This estimate is a hundred times more accurate than the best previous study, dating back to 1986.
Unique expertise
LUH’s Institute of Geodesy – one of only four centers worldwide analyzing laser distance measurements to the Moon – has unique expertise in assessing the data, particularly for testing general relativity. In the current study, the institute analyzed the Lunar Laser Ranging measurements, including error analysis and interpretation of the results.
Vishwa Vijay Singh, Jürgen Müller and Liliane Biskupek from the Institute of Geodesy at Leibniz University Hannover, as well as Eva Hackmann and Claus Lämmerzahl from the Center of Applied Space Technology and Microgravity (ZARM) at the University of Bremen published their findings in the journal Physical Review Letters, where the paper was highlighted in the category “editors’ suggestion.”
Reference: “Equivalence of Active and Passive Gravitational Mass Tested with Lunar Laser Ranging” by Vishwa Vijay Singh, Jürgen Müller, Liliane Biskupek, Eva Hackmann and Claus Lämmerzahl, 13 July 2023, Physical Review Letters.
DOI: 10.1103/PhysRevLett.131.021401
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