graph LR
    idea_2591f787_fcfb_4647_bcc8_25ab08974ca8["Physics"]
    idea_2e61d5c9_1f76_4ee8_b075_44efe84255e9["Action Functional Definition as Integral of Lagrangian Over Time Interval"]
    idea_35b87a4c_efbe_4ca7_85dc_2335f0d53320["Integration over Space-Time Regions in Calculus"]
    idea_41945a80_7586_4653_8939_1b67a39e0734["Lagrangian Mechanics for Particles in Classical Physics"]
    idea_7cf0b72d_09dc_452a_8155_dbb2eb389298["Minkowski Metric in Special Relativity"]
    idea_8712e4fc_7bcb_4b0a_97a8_c4b332b2bd65["Mathematics in general"]
    idea_a7ab481a_2105_4be2_b5e7_c8396fc49352["Mathematics for nonmathematicians (engineering, social sciences, etc.)"]
    idea_b1efbc58_825b_48df_96a2_b642104a67f8["Kinetic and Potential Energy Definitions for Point Particles"]
    idea_bc57b433_7073_4d02_b1e2_03be7d744e74["Force Defined by Negative Gradient of Potential Energy in Classical Mechanics"]
    idea_c5fb2619_bc53_475a_a9b6_679cece5b9e9["Rotational Symmetry and Coordinate Independence in Potentials"]
    idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37["Classical Field Theory Fundamentals: Klein-Gordon Equation and Relativistic Particles"]
    idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca["Einstein's General Relativity Geodesic Equation"]
    idea_de0e5b0e_4ff4_4d77_bd59_5c440613fd94["The Relativistic Action Principle: Proper Time and Geodesic World Lines"]
    idea_de57d277_f2c9_4125_af41_86712916f39e["Principle of Least Action in Classical Mechanics"]
    idea_dec77f4f_6155_4a23_84a7_d170c489224c["Deriving Newton's Laws from the Principle of Least Action"]
    idea_2e61d5c9_1f76_4ee8_b075_44efe84255e9 --> idea_dec77f4f_6155_4a23_84a7_d170c489224c
    idea_bc57b433_7073_4d02_b1e2_03be7d744e74 --> idea_dec77f4f_6155_4a23_84a7_d170c489224c
    idea_2591f787_fcfb_4647_bcc8_25ab08974ca8 --> idea_dec77f4f_6155_4a23_84a7_d170c489224c
    idea_c5fb2619_bc53_475a_a9b6_679cece5b9e9 --> idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca
    idea_2591f787_fcfb_4647_bcc8_25ab08974ca8 --> idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca
    idea_a7ab481a_2105_4be2_b5e7_c8396fc49352 --> idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37
    idea_7cf0b72d_09dc_452a_8155_dbb2eb389298 --> idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca
    idea_a7ab481a_2105_4be2_b5e7_c8396fc49352 --> idea_dec77f4f_6155_4a23_84a7_d170c489224c
    idea_de57d277_f2c9_4125_af41_86712916f39e --> idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca
    idea_b1efbc58_825b_48df_96a2_b642104a67f8 --> idea_dec77f4f_6155_4a23_84a7_d170c489224c
    idea_35b87a4c_efbe_4ca7_85dc_2335f0d53320 --> idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37
    idea_8712e4fc_7bcb_4b0a_97a8_c4b332b2bd65 --> idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37
    idea_41945a80_7586_4653_8939_1b67a39e0734 --> idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37
    style idea_de57d277_f2c9_4125_af41_86712916f39e fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_de0e5b0e_4ff4_4d77_bd59_5c440613fd94 fill:#e5e7eb,stroke:#9ca3af,color:#374151
    style idea_7cf0b72d_09dc_452a_8155_dbb2eb389298 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_a7ab481a_2105_4be2_b5e7_c8396fc49352 fill:#7f1d1d,stroke:#450a0a,color:#fca5a5
    style idea_c6c4dba3_2ef4_4d75_88c6_ae0992b48d37 fill:#e5e7eb,stroke:#9ca3af,color:#374151
    style idea_8712e4fc_7bcb_4b0a_97a8_c4b332b2bd65 fill:#7f1d1d,stroke:#450a0a,color:#fca5a5
    style idea_dec77f4f_6155_4a23_84a7_d170c489224c fill:#e5e7eb,stroke:#9ca3af,color:#374151
    style idea_41945a80_7586_4653_8939_1b67a39e0734 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_b1efbc58_825b_48df_96a2_b642104a67f8 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_35b87a4c_efbe_4ca7_85dc_2335f0d53320 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_dbf54037_96b7_4b65_ac12_fa85cdab60ca fill:#e5e7eb,stroke:#9ca3af,color:#374151
    style idea_c5fb2619_bc53_475a_a9b6_679cece5b9e9 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_2591f787_fcfb_4647_bcc8_25ab08974ca8 fill:#7f1d1d,stroke:#450a0a,color:#fca5a5
    style idea_bc57b433_7073_4d02_b1e2_03be7d744e74 fill:#fef3c7,stroke:#f59e0b,color:#92400e
    style idea_2e61d5c9_1f76_4ee8_b075_44efe84255e9 fill:#fef3c7,stroke:#f59e0b,color:#92400e