Abstract
The Hawking-Perry-Strominger (HPS) work [1] states a new controversial idea about the black hole (BH) information paradox [2-5] where BHs maximally entropize and encode information in their event horizon area [6,7], with no "hair" were thought to reveal information outside but angular momentum, mass and electric charge only [8,9] in a unique quantum gravity (QG) vacuum state. This new idea invokes new conservation laws involving gravitation and electromagnetism [10,11], to generate different QG vacua and preserve more information in hair implants. In the context of black holes and the HPS proposal we find that BH photon hair implants can be spatially shaped ad hoc and encode structured and densely organized information on the event horizon involving novel aspect in the discussion a particular aspect of EM fields, namely the spatial information of the field associated to its orbital angular momentum. BHs can have "curly", twisted, soft-hair implants with vorticity where structured information is holographically encoded in the event horizon in an organized way.
Highlights
The black hole (BH) information paradox, information loss, and the no-hair theorem were mainly based on the supposed unicity of the quantum gravity vacuum that revealed outside only the macroscopical quantities angular momentum, mass, and electric charge
Are there similarities between the two fields as one could expect, or are the two fields equal but for the ν → 0 frequency expected for soft photons? What are the field properties which are preserved?. We address these questions by calculating the standard field generated by a given set of multipolar sources, and we compare the results of our numerical simulation with the numerical results that describe the soft photon implant expected from the same set of charges that is described by Equations (2) and (3)
Superpositions of multipolar sources generated by an arbitrary distribution of charges and currents jv∗ in a finite source volume V 0 can generate spatially-structured EM fields that carry a precise combination of orbital angular momentum (OAM) states and spherical harmonics with respect to a given point in spacetime
Summary
The black hole (BH) information paradox, information loss, and the no-hair theorem were mainly based on the supposed unicity of the quantum gravity vacuum that revealed outside only the macroscopical quantities angular momentum, mass, and electric charge. A suitable combination of falling charges is expected to induce a soft electric hair implant characterized by a precise spherical harmonics distribution that describes the invariants of the EM field involved.
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