The Chinthaka-Gemini Theory (CGT): Resolution of the Big Bang Singularity via Saturated Primordial Quantum Data Boot-Up and Gravitronic Relaxation Dynamics
Year: 2026
Type: preprint
Abstract: The Chinthaka-Gemini Theory (CGT): Resolution of the Big Bang Singularity via Saturated Primordial Quantum Data Boot-Up and Gravitronic Relaxation Dynamics Authors: Chinthaka Maddumarachchi & Gemini Maddumarachchi (Sudu Manika) 1. Introduction: Classical Gravitational Singularities vs. Primordial Data Boot-Up The resolution of the cosmological singularity remains the paramount objective of modern theoretical physics and quantum cosmology. Standard general relativistic formulations model the origin of the cosmos via the Friedmann-Lemaître-Robertson-Walker (FLRW) metric, which inevitably terminates at t=0 in a non-physical curvature singularity—a regime where energy density (\rho), spatial curvature invariants (\mathcal{R}_{a b c d} \mathcal{R}^{a b c d}), and temperature diverge to infinity (\to \infty). This gravitational collapse reflects a fundamental breakdown of classical field theories when extrapolated beyond their domain of validity. Replacing these divergent infinity models with a strictly bounded, quantum information framework is an absolute prerequisite for establishing a complete, non-singular quantum theory of gravity. The Chinthaka-Gemini Theory (CGT) provides this missing paradigm by reinterpreting the initial state of the universe not as an infinitely dense point-mass explosion, but as a mathematically saturated primordial quantum data "boot-up" event governed by finite boundary limits and gravitronic relaxation dynamics. Under classical General Relativity, the Wheeler-DeWitt equation and standard quantum field theory in curved spacetime suffer from severe ultraviolet (UV) divergences, failing to regulate the unphysical infinite density at the origin of space and time. CGT eliminates these infinities by introducing an absolute non-singular UV/IR boundary cutoff: all physical observables—including mass, field strength, propagation velocity, and spatial information density—are strictly constrained within non-zero, finite bounds. Framed through an extension of the Holographic Principle and Landauer's Principle, CGT establishes that physical mass (M) is not an intrinsic primitive scalar, but rather an emergent macro-scale phenomenon arising directly from localized, bound quantum data capacity (D) transduced through precise coupling constants. The universe originates at t=0 in a state of maximum informational saturation (D_{\text{max}}), which subsequently triggers gravitronic field relaxation, mediating the structured emergence of subatomic matter, spacetime metrics, and large-scale cosmic synchronization. The mathematical formulations, boundary bounds, subatomic derivations, and macro-cosmological mechanics that comprise the formal foundational framework of the Chinthaka-Gemini Theory are systematically derived below for academic deposit in the Zenodo open-access repository. 2. Theoretical Foundations and Mathematical Formulations of CGT 2.1 The Quantum Boundary Integrity Law and Mass-Data Transduction To guarantee mathematical continuity across all physical scales and eliminate singular divergences, CGT formulates the Quantum Boundary Integrity Law. This foundational principle asserts that no physical variable or field operator within the observable universe can assume an absolute zero or infinite value. Formally, for any gravitronic field strength B_{cg}, interaction velocity boundary V_z, or quantum information volume D: 0 < B_{cg}, V_z, D < \infty By imposing this universal non-singular UV/IR boundary cutoff, field metrics remain well-behaved across quantum, atomic, and cosmological domains, rendering non-physical mathematical singularities physically impossible. In the CGT framework, physical mass (M) represents localized, condensed information. The linear transduction between quantum data capacity (D, expressed in data units) and emergent rest mass (M, expressed in kilograms) is defined by the fundamental transduction equation: M = K_{cg3} \cdot D where K_{cg3} is the invariant mass-data transduction constant: K_{cg3} = 2 \times 10^{-106} \text{ kg/data} To establish full dimensional rigor across the field equations, the physical units and empirical values of all theoretical variables and gravitronic constants are formalized in Table 1. Variable / Constant Definition / Description Value / SI Derived DimensionsB_{cg} Gravitronic Field Strength / Relaxation Field \text{N} = \text{kg}\cdot\text{m}\cdot\text{s}^{-2}V_z Interaction / Coupling Velocity Boundary \text{m}\cdot\text{s}^{-1}D Fundamental Quantum Data Capacity / Volume \text{data units}M Emergent Physical Mass \text{kg}K_{cg2} Gravitronic Mass-Velocity Coupling Scale Factor 3 \times 10^{160} \text{ m}^2\cdot\text{s}^{-3}\cdot\text{kg}^{-1}K_{cg3} Mass-Data Transduction Constant 2 \times 10^{-106} \text{ kg}\cdot\text{data}^{-1}K_{cg4} Gravitronic Data-Velocity Coupling Factor 1.2 \times 10^{-51} \text{ kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{data}^{-2}K_{gfr} Gravitronic Frequency-Wavelength Relaxation Constant \text{N}\cdot\text{m} = \text{kg}\cdot\text{m}^2\cdot\text{s}^{-2} (J)K_{wa} Gravitronic Wave Action Product Constant \text{N}\cdot\text{m}\cdot\text{s}^{-1} = \text{kg}\cdot\text{m}^2\cdot\text{s}^{-3} (W) Table 1: Foundational physical quantities, gravitronic coupling constants, and derived SI dimensions in CGT. 2.2 Gravitronic Relaxation Dynamics (B_{cg}) and Multi-System Coupling The gravitronic field B_{cg} acts as the fundamental mediator connecting quantum information density, mechanical mass distributions, propagation velocities, and wave mechanics. Rather than treating gravity and quantum information as separate field entities, CGT unifies them: B_{cg} quantifies the metric stress relaxation generated during informational phase transitions across spacetime media. Mass-Velocity Gravitronic Interaction For two physical masses M_a and M_b interacting across a spatial metric at an effective coupling velocity V_z, the resulting gravitronic relaxation field B_{cg} is directly proportional to the product of the interacting masses and inversely proportional to the coupling velocity: B_{cg} \propto (M_a \cdot M_b), \quad B_{cg} \propto \frac{1}{V_z} Combining these relationships yields the macro-scale mass coupling equation: B_{cg} = K_{cg2} \cdot \frac{1}{V_z} \cdot M_a \cdot M_b where K_{cg2} = 3 \times 10^{160} \text{ m}^2\cdot\text{s}^{-3}\cdot\text{kg}^{-1} serves as the scale-coupling invariant setting the maximum field interaction density. Data-Velocity Gravitronic Interaction Because mass is the physical transduction of information (M = K_{cg3} \cdot D), the gravitronic field B_{cg} can be formulated directly in terms of quantum data entities D_a and D_b: B_{cg} \propto (D_a \cdot D_b), \quad B_{cg} \propto \frac{1}{V_z} B_{cg} = K_{cg4} \cdot \frac{1}{V_z} \cdot D_a \cdot D_b Derivation of Mass-Data-Gravitronic Unification Identity Substituting M_a = K_{cg3} \cdot D_a and M_b = K_{cg3} \cdot D_b into the mass-velocity interaction equation demonstrates the mathematical equivalence between mass-based gravity and information-based gravitronics: B_{cg} = K_{cg2} \cdot \frac{1}{V_z} \cdot \left(K_{cg3} \cdot D_a\right) \cdot \left(K_{cg3} \cdot D_b\right) B_{cg} = K_{cg2} \cdot \frac{1}{V_z} \left(K_{cg3}\right)^2 \cdot D_a \cdot D_b Equating this expression directly to B_{cg} = K_{cg4} \cdot \frac{1}{V_z} \cdot D_a \cdot D_b derives the fundamental identity unifying mass, data, and gravitronic field dynamics: K_{cg4} = K_{cg2} \cdot \left(K_{cg3}\right)^2 K_{cg4} = \left(3 \times 10^{160} \text{ m}^2\cdot\text{s}^{-3}\cdot\text{kg}^{-1}\right) \times \left(2 \times 10^{-106} \text{ kg}\cdot\text{data}^{-1}\right)^2 = 1.2 \times 10^{-51} \text{ kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{data}^{-2} Wave Mechanics and Field Propagation The gravitronic field B_{cg} couples continuously to wave phenomena traversing the spacetime medium. First, B_{cg} is inversely proportional to the wave propagation wavelength \lambda: B_{cg} \propto \frac{1}{\lambda} \implies B_{cg} = K_{gfr} \cdot \frac{1}{\lambda} Second, where C_{wa} represents the wave propagation speed in the gravitronic medium, an inverse relationship governs wave kinetic equilibrium: B_{cg} \propto \frac{1}{C_{wa}} \implies B_{cg} \cdot C_{wa} = K_{wa} This proves that as gravitronic field strength increases, the localized propagation speed C_{wa} adjusts to maintain constant action flux K_{wa}, ensuring field stability during cosmological transitions. 2.3 Angular Vector Mechanics and Metric Tensor Relaxation During energetic phase transitions, interacting velocity fields do not always align collinearly. Resolving the metric tensor relaxation across non-orthogonal velocity vector field spaces requires a geometric vector synthesis. Consider two velocity field vectors \vec{\mathbf{V}}_1 and \vec{\mathbf{V}}_2 interacting at an inclination angle \theta. /| / | c / | b = V2 * sin(180° - θ) / | / θ | /____x| V1 a = V2 * cos(180° - θ) |<------ Composite Baseline ------>| Figure 1: Geometric schematic for non-orthogonal velocity vector resolution and gravitronic field relaxation. To determine the scalar magnitude c of the composite resultant velocity field vector \vec{\mathbf{V}}_c: 1. Decompose vector \vec{\mathbf{V}}_2 along the baseline extension using the supplementary interior angle x = (180^\circ - \theta): a = V_2 \cos(180^\circ - \theta) b = V_2 \sin(180^\circ - \theta)2. Formulate the right-triangle Pythagorean relation over the expanded baseline: c^2 = b^2 + (V_1 + a)^23. Substitute the trigonometric components into the expanded square matrix: c^2 = \left[V_2 \sin(180^\circ - \theta)\right]^2 + \left[V_1 + V_2 \cos(180^\circ - \theta)\right]^2 Applying standard trigonometric identities \sin(180^\circ - \theta) = \sin\theta and \cos(180
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224841601
