Samsuzzaman Afroz, Sanjib Kumar Agarwalla, Dipankar Bhattacharya, Soumya Bhattacharya, Subir Bhattacharyya, Varun Bhalerao, Debanjan Bose, Chinmay Borwanker, Ishwara Chandra C. H., Aniruddha Chakraborty, Indranil Chakraborty, Sovan Chakraborty, Debarati Chatterjee, Varsha Chitnis, Moon Moon Devi, Sanjeev Dhurandhar, Amol Dighe, Bitan Ghosal, Sourendu Gupta, Arpan Hait, Md Emanuel Hoque, Pratik Majumdar, Nilmani Mathur, Harsh Mehta, Subhendra Mohanty, Reetanjali Moharana, Arunava Mukherjee, Suvodip Mukherjee, Dhruv Pathak, Tirthankar Roy Choudhury, Mohit Raj Sah, Prantik Sarmah, Krishna Kumar Singh, Rishi Sharma, Swarnim Shirke, Shriharsh P. Tendulkar, Gaurav Waratkar, Kuldeep Yadav

The multi-messenger science using different observational windows to the Universe such as Gravitational Waves (GWs), Electromagnetic Waves (EMs), Cosmic Rays (CRs), and Neutrinos offer an opportunity to study from the scale of a neutron star to cosmological scales over a large cosmic time. At the smallest scales, we can explore the structure of the neutron star and the different energetics involved in the transition of a pre-merger neutron star to a post-merger neutron star. This will open up a window to study the properties of matter in extreme conditions and a guaranteed discovery space. On the other hand, at the largest cosmological scales, multi-messenger observations allow us to study the long-standing problems in physical cosmology related to the Hubble constant, dark matter, and dark energy by mapping the expansion history of the Universe using GW sources. Moreover, the multi-messenger studies of astrophysical systems such as white dwarfs, neutron stars, and black holes of different masses, all the way up to a high redshift Universe, will bring insightful understanding into the physical processes associated with them that are inaccessible otherwise. This white paper discusses the key cases in the domain of multi-messenger astronomy and the role of observatories in India which can explore uncharted territories and open discovery spaces in different branches of physics ranging from nuclear physics to astrophysics.