Zero tension system conveyor. A conveyor belt is driven by at least a portion of the conveyor belt being in continuous contact with a block chain within at least a portion of an overall conveyor belt system. Such a conveyor belt system may be implemented in a spiral configuration such that a relatively small portion of the overall width of the conveyor belt is in contact with the block chain above and/or below the conveyor belt. The static force/weight of the conveyor belt in conjunction with the continuous contact between at least a portion of the conveyor belt and the block chain effectuates the driving of the conveyor belt through the overall conveyor belt system. The block chain is composed of a number of links, at least some of which include a respective hook/protrusion on one side thereof, for being directly engaged by drum bars implemented within a drum assembly.