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4 papers · 1 filter
Introduction to multifractional spacetimes
Gianluca Calcagni
We informally review the construction of spacetime geometries with multifractal and, more generally, multiscale properties. Based on fractional calculus, these continuous spacetime…
Symmetries and propagator in multifractional scalar field theory
Gianluca Calcagni, Giuseppe Nardelli
The symmetries of a scalar field theory in multifractional spacetimes are analyzed. The free theory realizes the Poincaré algebra, and the associated symmetries are modifications o…
Quantum mechanics in fractional and other anomalous spacetimes
Gianluca Calcagni, Giuseppe Nardelli, Marco Scalisi
We formulate quantum mechanics in spacetimes with real-order fractional geometry and more general factorizable measures. In spacetimes where coordinates and momenta span the whole…
Hawking radiation by Kerr black holes and conformal symmetry
Ivan Agullo, Jose Navarro-Salas, Gonzalo J. Olmo +1
The exponential blueshift associated with the event horizon of a black hole makes conformal symmetry play a fundamental role in accounting for its thermal properties. Using a deriv…