В наших рассуждениях мы постоянно использовали понятие ускоренного, равномерного или замедленного расширения Вселенной. Однако чёткого определения этих понятий, что мы под ними подразумеваем, мы пока не привели. Более того, представления о механизмах, лежащих в их основе, весьма неопределённые и у многих других исследователей. Вследствие этого возникают довольно спорные выводы по проявлениям этих механизмов. В частности, существует мнение, что ускоренное расширение Вселенной напрямую связано с уменьшением параметра Хаббла во времени. Если параметр Хаббла уменьшается, то это означает ускоренное расширение Вселенной. Сторонники этого подхода приводят, например, аргумент, уравнение, который, по их мнению, определённо подтверждает такое мнение:
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)
Утверждается, что вид этой формулы лишает всякой возможности придумать убывающую функцию масштабного фактора a(t), при которой убывал бы и параметр Хаббла. Действительно, из этого уравнения, на первый взгляд, явно следует, что росту масштабного фактора соответствует убывание параметра Хаббла. Однако перепишем уравнение условно и кратко:
Теперь уже точно видно: при росте масштабного фактора a параметр Хаббла H может только возрастать! Это происходит из-за знака минус перед членом, содержащим масштабный фактор, в результате чего при его росте вычитается всё меньшая и меньшая величина, а результат, соответственно, возрастает.
Заметим, что и само понятие "ускоренное расширение Вселенной" имеет некоторую двусмысленность. Все объекты в расширяющейся Вселенной по определению движутся с ускорением. В самом деле, масштабный фактор Вселенной, пространство которой расширяется равномерно, описывается уравнением:
Это уравнение и собственно масштабный фактор и его производная по времени относятся ко всей Вселенной в целом, описывает каждую точку его пространства. В наблюдательной астрономии у них есть физические эквиваленты: конкретные дистанции между объектами (например, в световых годах) и скорости убегания (например, в долях от скорости света). Эти эквиваленты, соответственно, относятся только к этим двум объектам. В дальнейшем мы не будем акцентировать внимание на отмеченных особенностях, а просто будем подразумевать их тождество. В приведённой записи имеется в виду некоторый нулевой момент времени, когда масштабный фактор был ненулевым, равным некоторому начальному значению a