Final answer:
The autoimmunity theory is the one that suggests aging is linked to the body becoming less capable of recognizing or tolerating its own cells, leading to an increased risk of autoimmune diseases.
Step-by-step explanation:
The theory of aging that suggests the body becomes less able to recognize or tolerate the 'self' is the autoimmunity theory. This theory posits that aging is associated with changes in the body's immune system that lead to an increased tendency for the body to mount immune responses against its own cells, potentially leading to autoimmune diseases. This is distinct from other aging theories, such as the free radical theory, which attributes aging to accumulated cellular damage from oxidative stress, and the wear-and-tear theory, which suggests that aging results from the physical and mechanical breakdown of the body over time.