It is the primordial frequency. Modern physics says the universe is made of vibrations. 'Om' represents the totality of those frequencies—beginning, middle, and end.

Shakti is 'Energy'. Shiva is consciousness (potential) and Shakti is the kinetic energy that brings the universe into being. Similar to Matter/Energy duality.

It is 'The Science of Life'. It is a medical system covering anatomy and pharmacology. It focuses on the "root cause" rather than just suppressing symptoms.

The reverse is closer to the truth. The decimal system, zero, and foundations of Trigonometry and Calculus (Kerala School) were Indian breakthroughs that traveled West via the Arabs.

Never. The Puranas and Surya Siddhanta refer to the Earth as Bhugola (Round Earth). Indian astronomers calculated its circumference centuries before the West.

It is the birthplace of Logic. The Nyaya school developed rigorous rules for debate and inference long before Western formal logic. We didn't just "feel" the truth; we verified it.