Method for transforming solid urban waste into aggregates, comprising: - a selection and preparation stage of a rejection from solid waste, obtaining a parget characterised in that it comprises: - a feeding stage of an apparatus for transforming organic and inorganic solid urban waste into aggregates, said apparatus comprising an extruding machine and a reactor, wherein the extruding machine comprises an extrusion cylinder through which a piston circulates inside an extrusion cavity that defines an extrusion axis; the end of the extrusion cavity is hermetically connected to the reactor; the longitudinal shaft of the reactor comprises a rotatory shaft in which some blades are arranged; between the end of the blades and the wall or dome of the reactor there is a clearance, which is referred to as the boundary layer of the reactor; the rotatory shaft of the reactor and the blades are jointly referred to as rotor, - a compression stage where the parget is compressed by the piston of the extruding machine moving forward until it comes into contact with the blades of the reactor, which reject the parget, propelling it to the interior of the extrusion chamber, and prevent it from moving forward with the resulting increase of pressure - a processing stage where: [a] when the piston moves forward, it further compresses the parget and forces it to penetrate the boundary layer of the reactor, forming a perimeter film, [b] the reactor shaft enters into resonance, where the potential energy built up by the rotor shaft is released as an emission of a shock wave train, subjecting the parget that is inside the extrusion cavity to violent stirring, and also subjecting the parget which is in the boundary layer to pressure peaks produced by the vibration of the rotor shaft, [c] once the resonance phenomenon is finished, the pressure on the piston of the extruding machine is reduced, decompressing the parget, and the compression of the parget on the rotor is repeated until it enters into resonance once again and there is a new emission of shock waves, and [d] the resonance and decompression cycles are repeated until the temperature of the parget reaches 85oC to 98oC, preferably 92°C, and - a discharging stage. - a selection and preparation stage of a rejection from solid waste, obtaining a parget characterised in that it comprises: - a feeding stage of an apparatus for transforming organic and inorganic solid urban waste into aggregates, said apparatus comprising an extruding machine and a reactor, wherein the extruding machine comprises an extrusion cylinder through which a piston circulates inside an extrusion cavity that defines an extrusion axis; the end of the extrusion cavity is hermetically connected to the reactor; the longitudinal shaft of the reactor comprises a rotatory shaft in which some blades are arranged; between the end of the blades and the wall or dome of the reactor there is a clearance, which is referred to as the boundary layer of the reactor; the rotatory shaft of the reactor and the blades are jointly referred to as rotor, - a compression stage where the parget is compressed by the piston of the extruding machine moving forward until it comes into contact with the blades of the reactor, which reject the parget, propelling it to the interior of the extrusion chamber, and prevent it from moving forward with the resulting increase of pressure - a processing stage where: [a] when the piston moves forward, it further compresses the parget and forces it to penetrate the boundary layer of the reactor, forming a perimeter film, [b] the reactor shaft enters into resonance, where the potential energy built up by the rotor shaft is released as an emission of a shock wave train, subjecting the parget that is inside the extrusion cavity to violent stirring, and also subjecting the parget which is in the boundary layer to pressure peaks produced by the vibration of the rotor shaft, [c] once the resonance phenomenon is finished, the pressure on the piston of the extruding machine is reduced, decompressing the parget, and the compression of the parget on the rotor is repeated until it enters into resonance once again and there is a new emission of shock waves, and [d] the resonance and decompression cycles are repeated until the temperature of the parget reaches 85oC to 98oC, preferably 92°C, and - a discharging stage.