Conceptual unification of elementary particles, black holes, quantum de Sitter and Anti de Sitter string states

Abstract

We provide a conceptual unified description of the quantum properties of black holes (BH), elementary particles, de Sitter (dS) and Anti de Sitter (AdS) string states.The conducting line of argument is the classical-quantum (de Broglie, Compton) duality here extended to the quantum gravity (string) regime (wave-particle-string duality). The semiclassical (QFT) and quantum (string) gravity regimes are respectively characterized and related: sizes, masses, accelerations and temperatures. The Hawking temperature, elementary particle and string temperatures are shown to be the same concept in different energy regimes and turn out the precise classical-quantum duals of each other; similarly, this result holds for the BH decay rate, heavy particle and string decay rates; BH evaporation ends as quantum string decay into pure (non mixed) radiation. Microscopic density of states and entropies in the two (semiclassical and quantum) gravity regimes are derived and related, an unifying formula for BH, dS and AdS states is provided in the two regimes. A string phase transition towards the dS string temperature (which is shown to be the precise quantum dual of the semiclassical (Hawking-Gibbons) dS temperature) is found and characterized; such phase transition does not occurs in AdS alone. High string masses (temperatures) show a further (square root temperature behaviour) sector in AdS. From the string mass spectrum and string density of states in curved backgrounds, quantum properties of the backgrounds themselves are extracted and the quantum mass spectrum of BH, dS and AdS radii obtained.

New original material; one minor misprint in eq.(1.3) corrected

References in corpus (3)

• General Logarithmic Corrections to Black Hole Entropy
• The Maximum Tension Principle in General Relativity
• Towards a Theory of Quantum Black Hole

Cited by in corpus (14)

• The Classical-Quantum Duality of Nature. New Variables for Quantum Gravity
• Quantum Discrete Levels of the Universe from the Early Trans-Planckian Vacuum to the Late Dark Energy
• New Quantum Phase of the Universe before Inflation and its Cosmological and Dark Energy Implications
• Semiclassical (Quantum Field Theory) and Quantum (String) de Sitter Regimes: New Results
• Microcanonical model for a gaz of evaporating black holes and strings, scattering amplitudes and mass spectrum
• Quantum Trans-Planckian Physics inside Black Holes and its Spectrum
• Semiclassical (QFT) and Quantum (String) Rotating Black Holes and their Evaporation: New Results
• Relic Radiation from an Evaporating Black Hole
• The SL(2,R)WZWN string model as a deformed oscillator and its classical-quantum string regimes
• Semiclassical (QFT) and Quantum (String) anti - de Sitter Regimes: New Results
• Semiclassical and Quantum Black Holes and their Evaporation, de Sitter and Anti-de Sitter Regimes, Gravitational and String Phase Transitions
• Self-Gravitating Phase Transitions: Point Particles, Black Holes and Strings
• New Quantum Structure of the Space-Time
• The String Phases of Hawking Radiation, De Sitter Stage and De Broglie Type Duality