I also did not hear anything, but that can simply mean it is very low in the recording and getting more ampped in the amp.
In all my years of helping people sort out hums, buzzes noises, and reception problems, I only had one person who was truly hallucinating what they described.
Since your complaint is real let's move on.
These can be tricky or easy to find, mostly tricky though.
Does it sound like something related to power line frequency?
That mostly sounds like a hum at either 60 Hertz or 120 Hz.
That usually is a grouding or shielding problem.
If you pull the 1/4" plug out of your guitar and touch the tip (Signal hot side or +), that is the same type of sound that usually comes with ground problems; poor ground, ground loops and such.
Buzz on the other hand will be more raspy sounding, it will have a definite edge to it.
That usually is NOT related to grounding, but something being induced from an outside source, such as flourescent lights, fish tank heaters, computers or monitors/TVs, blenders, hair dryers, wall warts, or almost any electrical device.
If the source is close to the guitar, or cable (check your 1/4" cable for a disconnected shield) the noise can be induced into your pickups directly. Passive guitars are especially susceptible.
Or the buzz can travel in via the power line to the amp, and then to your guitar and then amplified in the amp.
Try moving the amp and guitar to a different room to see if it changes the problem.
Start unplugging other electric devices to see if the problem changes.
Turn them off, one at a time and leave them off as you move to the next device.
If the problem goes away, there is a good chance it is associated with the last device you turned off.
Now turn everything back on, in reverse order, but do not turn on the offending device.
This will help to determine if there is more than one device involved.
Hint... You must unplug the devices at the wall rather than turning off the power. Most electronics these days never truly is shut off when using the power switch.
Almost all electronics use switching power supplies, which are notorious for generating all manner of hum, noise, and buzz.
But start with the guitar and cable to be sure everything is good inside.
OGB