Is there a chance your cat injured itself while you weren't home anytime in the last 72hours before the behavior started? This sounds neurological. If there have been no mishaps it could also be a tumor or anything else doing harm to the central nervous system (CNS is brain and spinal chord) like parasites or a pathogen. There is obviously something going on, you can't see, either psychologically, physically and/or neurologically.
Brain/cerebellum injuries can cause crazy behaviors. An injury to the CNS can strongly effect the cat's ability to sense it's surroundings (including it's home, furniture, people etc). This can also cause behaviors including but not limited to: pacing, running in circles, loss of balance, loss of hearing, smell and memory which includes the inability to remember it's owner or home.
Parasites(even if not in the CNS) can cause a cat to go loopy, as can some medications. If you have recently changed or started new meds, you may want to discontinue use until your kitty has been seen by a vet. Not all animals have the same reaction to simple meds you wouldn't give much thought to (example- I fostered an adolescent cat that couldn't be given Advantage Multi because it'd make her stumble and lose her balance for a few days after administration, and was just how her brain reacted to one if the chemicals in it, but she did fine on Revolution).
Your cat could have a number of sicknesses that may cause a fever. Fever can cause hallucinations in cats, or shock which would also cause a cat to act out, in the behaviors you're describing.
Just to list a few sicknesses that may cause fever, as found on petmd (cited below for more detail) are:
Bacterial,Fungal, or parasitic infections.
Metabolic or Endocrine diseases.
Drugs or toxins.
A number of inflammatory conditions.
Information provided in part from:
I'd check out these 3 sites, read further, and have your kitty taken to the vet.
Whether or not it's an injury or a physical health concern, or a psychological concern, a treatment plan can be put in place.
Just something to think about: If there is a new roommate, or family member etc.. living in your house or temporarily staying (or leaving) or if furniture has been rearranged or removed a new pet added OR ANY NEW changes you can think of in your home that may be a stressor to your cat; this behavior may go away or ease up in time. BUT (even if there IS a lifestyle change you can pinpoint as a stressor) I would not risk waiting to find out. If it is physical and/or neurological, she may need emergency care, and waiting can be harmful to recovery or a treatment plan.
Good luck, and keep us updated by comment or by adding updates to your original post.