Life as we know it is unlikely to exist on planets orbiting pulsars. Pulsars are highly dense, rapidly rotating neutron stars formed from the remnants of massive stars that have undergone supernova explosions. They emit intense radiation beams along their magnetic poles, which are typically not aligned with their rotation axis. These beams are observed as regular pulses of radiation, giving pulsars their name.
The environment around a pulsar is harsh and inhospitable for life. The intense radiation emitted by pulsars would have detrimental effects on any biological organisms. The radiation levels are typically thousands to millions of times higher than what is considered lethal for life on Earth. Additionally, the extreme gravitational forces near a pulsar, as well as the intense magnetic fields, would pose significant challenges for the development and survival of complex life forms.
While the possibility of life in extreme environments cannot be completely ruled out, it is highly unlikely that planets orbiting pulsars could support life as we know it. However, it's important to note that our understanding of life and its potential forms is limited to the conditions observed on Earth. There may be alternative forms of life or exotic adaptations that could exist in environments vastly different from our own, but such speculation is currently beyond the scope of our scientific knowledge.