Image Encryptions From Relativistic-Like Transformations

The Quaternion Julia algorithm associated with a subgroup of 4-dimensional relativistic coordinate transformations may be used to encrypt images. The program processes an image by converting each pixel to its integer RGB values and encrypts the values using three intertwined Julia partial summations. The output is a file containing the partial sums. The subsequent decryption process of this sum is discussed. The encryption algorithm was tested as described and a reasonable encryption time was confirmed for use on typical modern computers when used as intended/with knowledge of the key. While for the recipient, the decryption time can be excessively long, as desired for an outside eavesdropper the algorithm's complexity is much greater, increasing the runtime roughly linearly.