Namaste,
I cannot personally attest mahavatar babaji's age, but there have been others who have claimed a long life, not just in India. Along with Paramahamsa there are other popular books, like Walking with Himalayan Masters, 7 years in Tibet and many other written accounts of people with super normal abilities. This is nothing new to India, how to identify what is true and what is false is not so easy, if some people are able to use to their advantage parts of phenomena that are not normally accessible to the masses then how would one then hope to measure it. Of course this will lead into so many theories and opinions, which will add to the confusion, but there must be another way to research the mind sciences and the results, I think the ancient's knew and gave clear instructions and concepts packed with realization, but their language can be vague at times and often cryptic to the uninitiated, by initiation I am referring to some sort of paradigm shifts.
I do believe by my study of both Hindu and Buddhist mind sciences, along with Taoist and other forms of mysticism and also some science mixed in I have come to my own personal conclusion that there is much more potential at least than we can imagine within the limits of science, logic and empiricism. But how and where do we draw the line between stupidity and the profound.
There have been many tests in recent times, both by personal practitioners and different types of scientist to understand mysticism and consciousness from ancient traditions for varying reasons. Its a very interesting subject, I could say I am a Hindu, A Buddhist , A Vedantist, but rather it feels more comfortable for me to say I am a student of consciousness and I am open to all forms of study of this phenomenon, I do have more of a strong feeling that the ancients had a more profound knowledge of it than we do today, the cultures surrounding ancients almost fully supported the exploration of consciousness, now everything is approached differently due to mass exposure and a type of mass cultural migration due to easy ways to travel and communicate, internet being the main media, we may think we understand things, but has this knowledge which has already been discovered really taken root. It seems the complexity of understanding reality from the conscious perspective has increased due to a massive wave of information and wondering what to make of it, at this time it seems the world is in discussion and trying to communicate and find that common ground to then build on with a fresher more clearer understanding.
With all the information we have today how much has been really absorbed. In my study and understanding one thing that I have noticed especially within Asian traditions is that siddhis, which not only means some type of mystical ability or magic trick, like walking on water, becoming lighter than air etc, but siddhi also means perfection, perfections or siddhis come from practice or sadhana, over long periods of time in environments that are conducive, or at least the mind has sufficient training in understanding and being in harmony with ones natural environment, some sort of mental peace and equilibrium is needed. These practices were cultivated over very long periods of time, lifetimes if we are to go by the traditions that accept continuum of consciousness.
Is it not that at least within the Dharmic traditions that ultimately the final goal is some sort of Super Consciousness, Para Brahman, Supreme Reality, Supreme Truth, it is neither being or non being, but also both at the same time, same goes with existence, something beyond conceptual understanding, something free from limitations, free from boundaries and hindrances, supramundane, if this is something that one accepts by logic and insight then how open is the door to the potential of being and its manifestations, what would be the full power of nirguna Brahman, Nirguna is not abstract, its not something that exists outside of itself.