Concept:
Evaluating historical musicological texts involves verifying the correct authorship and traditional honorific names recorded in ancient Indian performing arts literature.
Step 1: Evaluate Assertion (A).
Assertion (A) states that the Natyashastra was composed by Sage Swati (Swatimuni). According to historical consensus and traditional texts, the authorship of the Natyashastra is credited to Acharya Bharat (Bharat Muni). While Sage Swati is mentioned within the text as an ancient master who helped develop percussion instruments after listening to the sound of raindrops, he is not the author of the treatise. Therefore, Assertion (A) is false.
Step 2: Evaluate Reason (R).
Reason (R) states that the Natyashastra is also referred to as the Pancham Veda (the Fifth Veda). Because it combined elements from the four original Vedas (recitation from Rigveda, singing from Samaveda, gesture expression from Yajurveda, and emotion from Atharvaveda) to make knowledge accessible to all of society, it is traditionally honored with this name. This makes Reason (R) factually correct.