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Hari Nandan K

Exploring the Quantum Frontier: Theoretical Physics & Quantum Computing

I'm deeply engaged in foundational physics research, exploring the intersection of Quantum Mechanics, General Relativity, and discrete spacetime models.
I don't just research. I build frameworks... I push the boundaries of understanding.

In theoretical physics, I'm developing the Chronon-Super Quantum Level Model - a novel framework exploring quantum gravity, pre-geometric spacetime, and the fundamental nature of time. My research integrates advanced mathematics including differential geometry, linear algebra, and graph theory...

Quantum Gravity Quantum Mechanics General Relativity Discrete Spacetime Models Pre-geometric Theories Mathematical Physics Scientific Computing Chronon-Super Quantum Level Model Causal Graphs Hilbert Spaces Differential Geometry Graph Theory
Explore My Research

Quantum Gravity & the Problem of Time

Quantum Gravity & the Problem of Time. My research focuses on: Quantum Gravity approaches including Loop Quantum Gravity and Causal Set Theory. The Problem of Time in fundamental physics.

  • Key Constructs/Approaches: Loop Quantum Gravity, Causal Set Theory, String Theory concepts.
  • Capabilities: Foundational research, theoretical framework development.

Discrete Physics Modeling & Pre-geometric Theories

Pre-geometric Theories & Causal Graphs. Discrete Mathematics & Hilbert Spaces. Chronon-Super Quantum Level Model. Emergent Spacetime Theories. Modified Dispersion Relations. Discrete time models. Create computational models for discrete spacetime theories, cellular automata systems, and pre-geometric networks using graph theory and mathematical physics.

  • Key Constructs/Approaches: Chronons, Space Grains, Super Quantum Levels (SQL), Causal Graphs, Cellular Automata.
  • Capabilities: Modeling discrete structures, computational simulations, conceptual innovation.

Advanced Mathematical Physics

Apply differential geometry, linear algebra, and abstract mathematics to solve complex physics problems and develop theoretical frameworks. My background includes: Differential geometry, Linear algebra, Abstract algebra, Graph theory. Mathematical foundations of Hilbert spaces and operator theory.

  • Key Areas: Differential Geometry, Linear Algebra, Hilbert Spaces, Operator Theory, Graph Theory.
  • Capabilities: Rigorous mathematical derivation, framework formalization.

Quantum Computing & Simulation

Quantum Computing Enthusiast. Quantum Computing Fundamentals (75%). Develop quantum algorithms, simulate quantum systems, and integrate quantum computing principles into classical applications for advanced computational solutions. Edge AI, Computer vision, Real-time automation systems.

  • Key Areas: Quantum Algorithms, Quantum Simulation, Qubits, Quantum Information Theory.
  • Capabilities: Quantum algorithm development, simulation, integration with classical systems.

Scientific Computing & Research Methodology

Scientific Computing & Simulation. Develop high-performance computational models for physics simulations, numerical analysis, and scientific data processing using Python and C. My research methodology combines: Literature Review, Mathematical Derivation, Conceptual Innovation, Interdisciplinary Synthesis, Scientific Writing.

  • Key Areas: Computational Physics, Numerical Analysis, Data Processing (Python, C), Scientific Writing.
  • Capabilities: Building simulations, rigorous derivation, interdisciplinary synthesis, formal writing.

Research Projects

Chronon-Super Quantum Level Model (MARK III)

Theoretical Physics Research Framework

A novel theoretical framework proposing that time is fundamentally discrete, composed of Chronons - indivisible units of time that activate in response to energy fluctuations. Space is granular, composed of Space Grains that host Chronon fields. Beneath the Planck scale lies a hierarchical domain - the Super Quantum Level (SQL) where energy exists in discrete "chunks" smaller than any known quantum.

Research Focus: Quantum Gravity, Discrete Time Models, Pre-geometric Theories, Modified Uncertainty Relations

Key Constructs: Chronons (discrete time units), Space Grains (fundamental spatial units), Super Quantum Levels (hierarchical energy structure)

Mathematical Framework: Derived governing equation: ∫G(L²s/ℓ²P)(Tc/t)(kB ln Ωi)(ℏ/2Tc)dV = K

Applications: Quantum Gravity, Black Hole Information Paradox Resolution, Fundamental Physics Unification

Experimental Predictions: Time quantization effects detectable with ultra-precise atomic clocks, deviations from continuous spacetime in high-energy collisions

Quantum Gravity Research (General Investigations)

Theoretical Physics Research

Quantum Gravity approaches including Loop Quantum Gravity and Causal Set Theory. The Problem of Time in fundamental physics. Modified uncertainty principles and discrete time models. Mathematical foundations of Hilbert spaces and operator theory. Quantum Gravity: LQG, String theory, Causal sets, Emergent gravity approaches.

Technologies/Tools: Literature Review, Mathematical Derivation, Conceptual Innovation, Interdisciplinary Synthesis

Key Features/Outcomes: Exploring fundamental approaches, literature analysis, mathematical development.

Scientific Computing & Simulation (for Physics)

Computational Research Activity

Develop high-performance computational models for physics simulations, numerical analysis, and scientific data processing using Python and C. Focus on simulating discrete spacetime structures and quantum systems.

Technologies/Tools: Python, C, Computational Modeling, Numerical Methods

Key Features/Outcomes: Building tools for physics research, data processing, simulations.

Physics Skills Proficiency

Quantum Mechanics & Operators 85%

General Relativity & Spacetime 80%

Quantum Gravity (Approaches) 80%

Statistical Mechanics & Thermodynamics 75%

Discrete Mathematics & Graph Theory 80%

Differential Geometry 75%

Linear Algebra & Hilbert Spaces 85%

Calculus & Mathematical Physics 85%

Scientific Computing (Python, C) 90%

Scientific Writing & Argumentation 80%

Quantum Computing Fundamentals 75%

Conceptual Innovation 90%

Physics Concepts & Tools

Hilbert Spaces
Operators
Metric Tensors
Chronons
Graph Theory
Cellular Automata
Differential Geometry
Python
C Language
Mathematica

Research Publications

Chronon-Super Quantum Level Model (MARK III)

Journal of Theoretical Physics
Published: 2025
A comprehensive framework for discrete spacetime and quantum gravity using novel chronon constructs. Introduces the governing equation ∫G(L²s/ℓ²P)(Tc/t)(kB ln Ωi)(ℏ/2Tc)dV = K

Discrete Time Models in Quantum Mechanics

Physical Review D
Under Review: 2023
Investigation of temporal discreteness and its implications for quantum measurement.

Pre-geometric Networks and Causal Graphs

Classical and Quantum Gravity
In Preparation: 2024
Exploring the emergence of spacetime from discrete pre-geometric structures.

Research Methodology

Literature Review

Comprehensive analysis of existing research to identify gaps and opportunities for innovation.

Mathematical Derivation

Rigorous mathematical development of theoretical frameworks and models.

Conceptual Innovation

Development of novel concepts and approaches to fundamental physics problems.

Computational Modeling

Implementation of theoretical models through scientific computing and simulation.