I recently asked this question on Biology Stack Exchange but didn’t get any answers.
Russell Arnott, apparently an oceanographer, who currently works as a project manager at the Sainsbury Laboratory, Cambridge University (UK), wrote in his piece Whales and Waves (2016, p.2):
New research from the DAREWIN Institute postulates that once a whale has obtained an image of an object using sound, it can then send a holographic image of what they saw to another whale using sound. That’s like sending a 3D-picture to your friend using only your face.
Although that article is available on Academia.edu, and Russell Arnott does indeed apparently currently work for Cambridge University, the article is not from a published academic journal. With my meagre understanding of biology I've tried to hunt down articles on this in peer reviewed journals or academic books but have drawn a blank.
Is there any published research which suggests [including in the sense that it postulates it] that whales may be able to send each other three-dimensional images, or in fact, images of any sort at all?
A commenter asks whether if they say "It was shaped like a cube" they have sent an image.
Here's the answer:
If I send you an image you don't need to speak the same language as me to decode it, because it is an image. If I send you a photo of a dog that attacked me you know what the dog looks like. If, instead, I tell you "a dog attacked me" , you may self-instigate (or not) an image of a dog, but you have no idea what it looks like, precisely because I did not send you an image of it