Dynamic electrocardiography. III. The "imaginary cardiac vector" hypothesis: theoretical basis

The "imaginary cardiac vector" hypothesis states that the "cardiac vector" is not a "real" vector entity. The hypothesis arises from the fact that voltage is not a vector but a scalar quantity. Nevertheless, in classical electrocardiographic analysis and teaching, the ECG voltage is treated as a vector. These voltages are used as "vector" components--first, to calculate a "resultant manifest potential difference", represented by the "cardiac vector" arrow in electrocardiography, and second, to draw the "cardiac vector" loop in vectorcardiography. The resultant "cardiac vector" is usually considered to be a "real" vector quantity describing the electrical activity of the heart. It is also widely believed that this "vector" was first described by Einthoven in 1913. To evaluate the hypothesis, we have utilised the actual values and methods presented by Einthoven, and demonstrated that the theoretical basis of the "cardiac vector" is false. It appears that Einthoven followed scalar and not vector procedures and that he did not describe a vector.