Abstract
This paper explores a theory-based physicalism conditional on string theoretical frameworks in modern physics, with an aim to provide a novel response to Frank Jackson´s Knowledge Argument against physicalism. This presents an argument for what will be called Higher Dimensional Physicalism, which will help to explain the private nature of the phenomenal property of consciousness. The argument supposes that string theoretical properties, understood as physical facts, can provide a priori entailment of the phenomenal properties associated with qualia, which are interpreted as being instantiated in and constituted by the empirically unobservable spatial dimensions conjectured in modern physics. This is argued to represent a viable physicalist monism consistent with scientific ontology, to explain the private nature of phenomenal properties which themselves are empirically unobservable and knowable in practice only from the first-personal perspective.