diff --git a/README.md b/README.md
index fbb8b0b..c9a77aa 100644
--- a/README.md
+++ b/README.md
@@ -18,21 +18,32 @@ A tribute to some of the brightest minds who have shaped the field of quantum co
1. **Max Planck** (1900) π
- - **Formula**: \( E = h \nu \)
+
+ - **Formula**:
+
+ $\color{Green} {\huge E = h \nu }$
+
- **Explanation**: Planck introduced the idea that energy is emitted in discrete quantities, called "quanta." His theory was the first step toward modern quantum physics.
+ -
- **Contribution**: Known as the "father of quantum theory," his discovery opened the door to quantum physics.
-2. **Albert Einstein** (1905) π‘
+
+
+3. **Albert Einstein** (1905) π‘
- **Formula**: \( E_k = h \nu - \phi \)
- **Explanation**: Through the photoelectric effect, Einstein proposed that light behaves as particles (photons) with quantized energy, challenging the classical view of light as just a wave.
- **Contribution**: His ideas on wave-particle duality were crucial for modern physics, laying the foundation for quantum mechanics.
+
+
-3. **Niels Bohr** (1913) π¬
+4. **Niels Bohr** (1913) π¬
- **Formula**: \( E_n = -\frac{Z^2 R_H}{n^2} \)
- **Explanation**: Bohr's model described the quantized energy levels of electrons within atoms, particularly hydrogen.
- **Contribution**: His theory advanced atomic physics, leading to the concept of complementarity in quantum mechanics.
-4. **Werner Heisenberg** (1927) π―
+
+
+5. **Werner Heisenberg** (1927) π―
- **Formula**: \( \Delta x \Delta p \geq \frac{\hbar}{2} \)
- **Explanation**: The uncertainty principle states that it is impossible to simultaneously determine a particleβs position and momentum with absolute precision.
- **Contribution**: This principle reshaped our understanding of quantum nature, showing that particle behavior remains indeterminate until observed.
@@ -65,41 +76,57 @@ A tribute to some of the brightest minds who have shaped the field of quantum co
- **Contribution**: A pioneer in quantum field theory, and among the first to propose a connection between quantum mechanics and relativity.
+
+
8. **John von Neumann** (1932) π
- **Formula**: \( \langle \psi | \hat{A} | \psi \rangle \)
- **Explanation**: Von Neumann established the mathematical foundation of quantum mechanics, including measurement theory and the concept of operators.
- **Contribution**: Formalized quantum theory, especially the description of quantum states and the mathematical interpretation of wave function collapse.
+
+
9. **Claude Shannon** (1948) π
- **Formula**: \( H(X) = -\sum p(x) \log p(x) \)
- **Explanation**: Shannon is known as the father of information theory, introducing the concept of entropy as a measure of information in a message.
- **Contribution**: His ideas laid the groundwork for digital communication and influenced quantum communication and data transmission research.
+
+
10. **Richard Feynman** (1948-1981) π»
- **Formula**: \( S = \int \mathcal{L} \, dt \)
- **Explanation**: Feynman developed the path integral, an alternative approach to describe quantum mechanics through trajectories.
- **Contribution**: Proposed the idea of a quantum computer to simulate quantum phenomena, marking the beginning of quantum computing.
+
+
11. **David Deutsch** (1985) π
- **Formula**: N/A
- **Explanation**: Deutsch formalized the concept of a universal quantum computer, capable of simulating any physical system.
- **Contribution**: His work laid the foundation for modern quantum computing, inspiring the development of quantum algorithms.
+
+
11. **John Bell** (1964) π
- **Formula**: \( |E(a, b) + E(a, b') + E(a, b) - E(a', b')| \leq 2 \)
- **Explanation**: Bell's inequality tests if correlations between entangled particles can be explained by local theories.
- **Contribution**: Fundamental for experiments that verified quantum entanglement and non-locality.
+
+
12. **Alexander Holevo** (1973) π§©
- **Formula**: \( I(X:Y) \leq S(\rho) \)
- **Explanation**: The Holevo bound describes the maximum information extractable from a quantum system.
- **Contribution**: Essential for quantum information theory, with implications in cryptography and quantum data transmission.
+
+
13. **Peter Shor** (1994) π
- **Formula**: N/A
- **Explanation**: Shor's algorithm enables efficient factorization of large numbers, threatening the security of traditional cryptographic systems.
- **Contribution**: The first quantum algorithm to solve complex problems more efficiently than classical algorithms.
+
+
14. **Lov Grover** (1996) π
- **Formula**: N/A
- **Explanation**: Grover's algorithm improves search efficiency, reducing search time from \( O(N) \) to \( O(\sqrt{N}) \).