India has a rich and ancient history of scientific exploration, with scholars making groundbreaking contributions to physics and mathematics long before the modern world began its own scientific revolution. The knowledge imparted by ancient Indian scientists has laid the foundation for many modern theories and continues to influence global scientific thought today. The wisdom of these early thinkers often gets overshadowed by Western achievements, but it is crucial to recognize the immense contributions made by Indian scientists who shaped the world of physics and mathematics in profound ways.
The Early Foundation: The Indian Approach to Science
Ancient Indian scientists were not only concerned with theoretical knowledge but also with practical applications of their findings. Their studies were deeply intertwined with philosophy, spirituality, and observation of the natural world. In fact, many of their ideas were ahead of their time, showing a deep understanding of the laws of nature, the structure of the universe, and the relationship between matter and energy.
Indian scientists approached physics and mathematics from a holistic perspective, with an emphasis on logic, observation, and experimentation. They did not have the advanced technology that modern scientists rely on, but their insights into the fundamental principles of nature were profound and enduring.

Aryabhata: The Pioneer of Indian Mathematics and Astronomy
One of the most prominent figures in ancient Indian science is Aryabhata, who lived around 476–550 CE. Aryabhata’s work in mathematics and astronomy had a far-reaching impact, influencing both the Islamic world and later Western scholars.
In the realm of mathematics, Aryabhata is credited with pioneering work in the development of the concept of zero. He used a symbol for zero and recognized its importance in the number system, which would eventually lead to the development of the modern decimal system. This idea was revolutionary because the concept of zero was not known in the ancient world outside India.
In astronomy, Aryabhata was ahead of his time in many ways. He proposed that the Earth rotates on its axis daily, a concept that was later confirmed by Western scientists over a thousand years later. He also made significant strides in calculating the length of the solar year, the value of pi, and the size of the Earth. His formula for calculating the positions of celestial bodies, based on a heliocentric model of the solar system, was highly accurate and laid the groundwork for later astronomical developments.
Brahmagupta: The Master of Algebra and Geometry
Another brilliant mathematician and physicist from ancient India was Brahmagupta, who lived in the 7th century. He is best known for his contributions to algebra and geometry. Brahmagupta made the groundbreaking discovery of negative numbers and their arithmetic operations. His work in this area formed the foundation for the use of negative numbers in modern mathematics.
In geometry, Brahmagupta introduced methods for finding the area of cyclic quadrilaterals, which was a significant advancement in the field. His work in gravity was also revolutionary. Brahmagupta was one of the first scientists to define the force of gravity, stating that objects fall to the Earth due to an inherent force. This was one of the earliest ideas about gravity, long before Sir Isaac Newton’s theory of gravitation.

Bhaskara I and II: The Builders of Mathematical Foundations
The works of Bhaskara I and Bhaskara II are also significant milestones in the history of Indian mathematics. Bhaskara I, who lived in the 7th century, is known for his work on solving equations and improving the understanding of sine functions. He provided one of the earliest accurate approximations of pi and contributed significantly to the study of trigonometry.
However, it is Bhaskara II, also known as Bhaskaracharya, who is considered one of the greatest mathematicians in Indian history. Living in the 12th century, he wrote the influential book Lilavati, which covered a wide range of topics, including algebra, arithmetic, geometry, and trigonometry. Bhaskara II’s work on solving quadratic equations and understanding the concept of infinity were revolutionary, and his ideas on calculus were centuries ahead of their time.
Bhaskara II is often credited with discovering what we now call the “derivative” and “differentiation” in calculus. His famous “Bhaskara’s lemma” also offered a method for solving Diophantine equations, a type of equation that seeks integer solutions.
Kanada: The Father of Atomic Theory
While the atomic theory of matter is often attributed to Western scientists, ancient Indian thinkers had already conceptualized this idea centuries earlier. Kanada, a sage and philosopher who lived around the 6th century BCE, proposed the idea that matter is made up of indivisible particles, which he called “Anu” (atoms). His work is recorded in the ancient text Vaisheshika Sutra, where he stated that all substances, whether solid, liquid, or gas, are made up of atoms, and that these atoms combine to form larger particles.
Kanada’s atomic theory closely resembles the modern understanding of the atom, centuries before scientists like John Dalton and Niels Bohr developed their models. He also explored concepts like the properties of matter, the nature of light, and the potential for space travel. His ideas were foundational to the development of atomic and molecular physics in the modern world.
Varahamihira: Bridging the Gap Between Science and Astronomy
Varahamihira, a 6th-century scholar, made several important contributions to the fields of astronomy, mathematics, and physics. He was one of the pioneers of the idea that the Earth was spherical, an idea that was not universally accepted in the ancient world. He also worked on the calculation of the positions of celestial bodies, predicting eclipses, and developing the Panchanga (a traditional Indian calendar system).
In physics, Varahamihira contributed to the understanding of refraction and mirages. His observations of light and its behavior led him to discover the principles of refraction and reflection, concepts that would later be explored by European scientists like Ibn al-Haytham.

The Surprising Link to Modern Physics
Many of the ideas put forth by ancient Indian scientists laid the groundwork for modern physics. Quantum theory, for example, owes a debt to ancient Indian philosophers who proposed that the universe is made up of discrete particles and that the forces of nature are connected through a unified field.
In the 20th century, the famous Indian physicist Satyendra Nath Bose furthered the development of quantum physics by collaborating with Albert Einstein to develop the Bose-Einstein statistics, which describe the behavior of particles at extremely low temperatures. The theory behind Bose-Einstein condensates, which has become an important aspect of quantum mechanics, finds its roots in concepts first discussed by ancient Indian thinkers.
Conclusion: Ancient Indian Scientists
The scientific achievements of ancient Indian scientists offer a fascinating and often overlooked chapter in the history of human knowledge. From the development of zero to early theories of the atom, the contributions of Indian scholars in physics and mathematics were not just a part of India’s cultural heritage—they were part of the universal story of scientific discovery.
While these scientists may not have had the technology or modern tools available today, their insights into the laws of nature continue to be relevant and insightful. By acknowledging their contributions, we not only honor the intellectual achievements of the past but also understand that the scientific discoveries of today are often built on the shoulders of forgotten pioneers from many different cultures and times.
India’s scientific legacy is vast and deeply rooted in its ancient traditions. It’s time to recognize and celebrate the remarkable achievements of Indian scientists, whose ideas continue to shape our understanding of the world.