Final answer:
The importance of technological advancements such as smartphones, nanotechnology, and groundbreaking technologies like invisibility cloaks is subjective, but many would argue that smartphones have had the broadest societal impact by revolutionizing communication and information access.
Step-by-step explanation:
The question of which new technology mentioned is most important is subjective and varies depending on individual perspective and the impact said technology has on one's life. To address this, we must look at the transformative effect each technology has had on society. One could argue that the smartphone represents one of the most significant advancements, having brought worldwide communications to even the most remote areas, transformed how we access information, and revolutionized social interactions.
Furthermore, inventions such as nanotechnology, which have led to the miniaturization of devices, play a critical role in modern life. GPS systems, smartphones, and satellite communication are just a few examples of how technology has incalculably changed daily life. On the cutting edge, technologies like invisibility cloaks and microscopic robots targeting cancer cells might seem like science fiction, but these too have grounding in the physical sciences and could dramatically change the future of healthcare and materials science.
Therefore, considering the widespread influence and the pace of ongoing innovation, one might argue that the smartphone has had the most considerable immediate impact on society, altering the paradigm of personal communication and information management, and thus could be deemed the most important technological advancement among those listed.