Sound is a series of mechanical compressions and rarefactions or longitudinal waves that successively propagate through materials (medium) that are at least a little compressible (solid, liquid or gas but not vacuum). In sound waves parts of matter (molecules or groups of molecules) move in a direction of the spreading of the disturbance (as opposite to transversal waves). The cause of sound waves is called the source of waves, e.g. a violin string vibrating upon being bowed or plucked.
A sound wave is usually represented graphically by a wavy, horizontal line; the upper part of the wave (the crest) indicates a compression and the lower part (the trough) indicates a rarefaction.
The perception of sound is the sense of hearing. In humans and many animals this is accomplished by the ears, but loud sounds and low frequency sounds can be perceived by other parts of the body through the sense of touch. Sounds are used in several ways, most notably for communication through speech or, for example, music. Sound perception can also be used for acquiring information about the surrounding environment in properties such as spatial characteristics and presence of other animals or objects. For example, bats use one sort of echolocation, ships and submarines use sonar, and humans can determine spatial information by the way in which they perceive sounds.
The study of sound is called acoustics and is performed by acousticians. A notable subset is psychoacoustics, which combines acoustics and psychology to study how people react to sounds.
For instance, the statement above "that you simply cannot have" is wrongful. That is not a reflection on you but on the statement itself as follows:
One the one hand you assert that space/time reality is entirely subjective and on the other hand you want to have an "objective" definition of the word, "sound." So which is it?
My unabridged Webster's first entry for sound is:
The sensation produced by stimulation of the organs of hearing by vibration transmitted through the air or other medium.
This is the meaning of the Zen Koan: If a tree falls in the forest and there is no one to hear it, is there sound?
Vibration happens, sound IS a perception. To which I would say:
The frequency range of sound audible to humans is approximately between 20 and 20,000 Hz.
is the working definition of sound. The frequency range of vibration between 20 and 20,000 Hz is perceived as sound for human beings. Saying it is "sound" Begs the Question that it is perceived vibration.
What you illustrate here is why there is so much confusion in the world on these issues. The perception of vibration as sound existed long, long before any of these technical definitions.