DEEPAK KUMAR

Intrinsic Gravitational Signature Metric and the Quantification of the Universal Gravitational Signature Threshold

This paper introduces a novel mathematical framework to quantify the orbital independence and gravitational captivity of celestial bodies within planetary systems. Under this framework, a unique metric termed the Intrinsic Gravitational Signature (S) is defined as the product of...

Universal Application of the Intrinsic Gravitational Signature Metric and the Verification of the Signature Threshold

This research paper presents the extended quantitative validation of the Intrinsic Gravitational Signature (S = G .g = G^2.m\r^2 ) across diverse and complex astronomical configurations, cementing the universal consistency of the Universal Gravitational Signature Threshold, herei...

Universal Derivation of the Mass-Specific Source Invariant and the Critical Radial Lock: A Unified Trajectory Optimization Protocol for Lunar and Interplanetary Architectures

This research paper formally introduces a novel astrodynamic framework designed to optimize fuel efficiency, orbital stability, and descent safety for Lunar Landers and next-generation space exploration. We derive the Mass-Specific Source Invariant, hereinafter referred to as the...

A Continuous Wave Formulation for Exact Localization, Prime Gaps Characterization, and Quantum Mirror Symmetry

Abstract This research paper establishes a complete, precise, and predictive mathematical wave framework to determine the position of prime numbers (2, 3, 5, 7, 11...) on the real number line, their exact localization, their intervals (Prime Gaps), and the associated Quantum Mirr...

A Continuous Wave Formulation for Exact Localization, Prime Gaps Characterization, and Quantum Mirror Symmetry

Abstract This research paper establishes a complete, precise, and predictive mathematical wave framework to determine the position of prime numbers (2, 3, 5, 7, 11...) on the real number line, their exact localization, their intervals (Prime Gaps), and the associated Quantum Mirr...

Universal Derivation of 'Deepak Source Constant' (D_s) and 'Deepak Radial Lock' (r_lock): A Unified Trajectory Optimization Protocol for Lunar and Interplanetary Architectures

This research paper formally introduces a novel astrodynamic framework designed to optimize fuel efficiency, orbital stability, and descent safety for Lunar Landers and next-generation space exploration. We derive the "Deepak Source Constant" (D_s), a body-specific gravitational...