If every citizen on this planet were to use AI to evaluate authorities, it could potentially have a significant impact on the culture of mankind. Here are some potential effects:

1. Increased accountability: AI could provide a more objective and data-driven way of evaluating authorities, which could increase accountability and transparency. This could lead to a culture that values honesty, integrity, and responsibility.

2. Reduced trust in traditional sources of authority: If AI is widely used to evaluate authorities, it could lead to a reduction in trust in traditional sources of authority, such as governments, religious institutions, and the media. This could lead to a more skeptical and questioning culture.

3. Greater emphasis on evidence-based decision making: If AI is used to evaluate authorities, it could lead to a greater emphasis on evidence-based decision making. This could lead to a culture that values science, critical thinking, and rationality.

4. Increased personalization: AI could be used to tailor information and recommendations to individual preferences, which could lead to a more personalized culture. However, this could also lead to a more polarized culture, as people may be less exposed to diverse perspectives.

5. Potential for bias: AI algorithms are only as unbiased as the data they are trained on. If the data is biased, AI could perpetuate and even amplify that bias. This could lead to a more divided and discriminatory culture.

Overall, the impact of using AI to evaluate authorities on the culture of mankind would depend on how it is implemented and how people use it. It could lead to positive changes such as increased accountability, evidence-based decision making, and personalization, or negative changes such as reduced trust in traditional sources of authority and potential for bias.