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Recently, wide interest has been devoted to investigating the universe dynamics, through its fundamental constituents. Novel evidences show that the description of large scale structure can be seen as a consequence of primordial quantum fluctuations. As a result, a unique unification scheme is achieved regarding quantum mechanics and gravity.1,2 It follows that a phenomenological scaling law arises and may reproduce the observational structures to different scales. This shows a possible hidden symmetry, as proposed in several works.3,4 By assuming these recipes, a possible black hole (BH) quantization condition is recovered, whose validity spans from
the Planck mass up to the whole universe mass. Soon, we show that a more general scaling law is derived from the BH quantization. By interpreting it as a universal relation, valid in all the universe epoches, it is possible to reconsider the existence of more complex structures at early and late times. In our work, the answer to this issue is shown to be affirmative.
From Black Hole quantization to universal scaling laws
Salvatore Capozziello‡, Gerardo Cristofano‡, Mariafelicia De Laurentis‡ and Orlando Luongo‡§
‡Dipartimento di Scienze Fisiche and INFN, Universit`a di Napoli ”Federico II”, Via Cinthia,
I-80126, Napoli, Italy;
§Instituto de Ciencias Nucleares, Universidad Nacional Aut´onoma de M´exico, AP 70543,
M´exico DF 04510, Mexico.