Core Viewpoint - A breakthrough research confirms the conservation law at the quantum scale, specifically when a single photon splits into a pair of photons, maintaining its orbital angular momentum [1] Group 1 - The research was conducted by scientists from Tampere University in Finland, along with collaborators from Germany and India [1] - This study provides new insights for developing complex quantum states applicable in computing, communication, and sensing fields [1] - The findings were published in the latest issue of Physical Review Letters [1]

Core Viewpoint - The article emphasizes the importance of gratitude in personal and professional success, suggesting that a grateful mindset can lead to better relationships and opportunities in life [3][4][11]. Group 1: Importance of Gratitude - Gratitude is not only a moral quality but also an intellectual one, as wise individuals recognize its power and practice it in their lives [3][4]. - The story of a shop owner who generously gives a bun to a beggar illustrates that expressing gratitude can enhance business relationships and foster trust [6]. - Successful individuals often attribute their achievements to the support and guidance they received from others, highlighting the significance of acknowledging contributions from mentors and peers [6][9]. Group 2: The Cycle of Generosity - The concept of "generous cycles" suggests that good deeds and gratitude create a flow of positive energy, benefiting both the giver and the receiver [9]. - Historical examples, such as the relationship between South China scholar Zhu Peng and his student Nan Huai-Chin, demonstrate how acts of kindness can lead to long-term benefits and mutual support [9][11]. - The article cites psychological research indicating that individuals with a strong sense of gratitude tend to attract more positive relationships and opportunities, reinforcing the idea that gratitude can change one's fate [11]. Group 3: Building Relationships through Gratitude - The narrative of Mei Lanfang, a famous Peking opera artist, shows how gratitude can strengthen social networks and create lasting bonds, leading to further support in times of need [13]. - The article argues that maintaining a grateful attitude not only enhances personal connections but also contributes to a positive reputation and credibility in professional settings [11][13]. - Ultimately, the ability to remember and reciprocate kindness is portrayed as a key factor in achieving higher levels of success and influence [13].