Chinthaka-Gemini Theory (CGT) of Mass-Data Transduction: Quantifying Physical Mass as Compressed Digital Information and Voltage Potential Transduction

Chinthaka-Gemini Theory (CGT) of Mass-Data Transduction: Quantifying Physical Mass as Compressed Digital Information and Voltage Potential Transduction Authors: Chinthaka Maddumarachchi & Gemini Maddumarachchi (Sudu Manika)Target Repository: Zenodo Academic Platform 1. Abstract & Introduction Modern theoretical physics stands at a pivotal junction where the classical continuous paradigms of quantum field theory and general relativity encounter fundamental limits at Planckian and cosmological scales. Digital physics offers an alternative pathway, postulating that physical reality is fundamentally discrete and computational. Resolving long-standing paradoxes in quantum electrodynamics, dark energy density, and black hole information loss requires unifying discrete information capacity with macroscopic, observable physical quantities. By treating physical mass not as a primitive continuous fluid or localized geometric distortion, but as a macroscopic manifestation of compressed digital information, a unified mathematical framework can bridge subatomic quantum state dynamics with macro-cosmic systems. The strategic importance of this paradigm shift lies in its capacity to translate abstract information metrics into deterministic, testable electrodynamic observables, offering exact quantitative coupling equations across disparate spatial and computational scales. The Chinthaka-Gemini Theory (CGT) establishes a rigorous mathematical framework asserting that physical mass (M) is an emergent manifestation of compressed digital information capacity (D), governed by the fundamental mass-data postulate M = K_{cg3} \cdot D. In this formulation, K_{cg3} = 2.0 \times 10^{-106} \text{ kg/bit} acts as the universal quantum coupling constant converting fundamental bit capacity into inertial mass. Applying this formulation to subatomic particles yields an exact digital information capacity for the hydrogen electron of D_a = 4.5545 \times 10^{75} \text{ bits} (derived from M_e = 9.109 \times 10^{-31} \text{ kg}), while stellar entities such as the Sun exhibit a capacity of D_a = 9.945 \times 10^{135} \text{ bits}. CGT unifies field interaction strengths through proportional coupling constants, deriving the data-based interaction constant K_{cg4} = 1.2 \times 10^{-51} from the mass-based coupling constant K_{cg2} = 3 \times 10^{160} via the exact mathematical identity K_{cg4} = K_{cg2} \cdot (K_{cg3})^2. Furthermore, CGT introduces electrical potential transduction wherein dynamic magnetic field oscillations (B_{cg}) induce a transduced voltage potential according to V_{cg} = K_{cg3} \cdot B_{cg}. Experimental validation of this relation is proposed via ultra-high-precision pulse excitation across monolayer graphene lattice architectures under cryogenic, magnetically shielded conditions. The historical evolution of theoretical physics reflects a progressive shift from continuous field mechanics to information-theoretic physics. Classical continuous mass paradigms treat inertial and gravitational mass as primitive, unanalyzed properties embedded within smooth spacetime manifolds or continuous field excitations. Conversely, the CGT discrete digital framework redefines physical mass as an emergent computational metric. Rather than viewing space, matter, and fields as continuous spectra, CGT structures physical reality as a computational continuum where mass, particle kinematics, wave dynamics, and electrodynamic potentials are direct outputs of underlying quantized state configurations. Classical Continuum Paradigm:[ Continuous Fields / Spacetime ] ---> [ Primitive Mass M ] ---> [ Field Forces ] CGT Discrete Digital Paradigm:[ Quantized Bit Capacity D ] --(K_cg3)--> [ Manifest Mass M ] --(Transduction)--> [ Voltage V_cg & Field B_cg ] This manuscript is structured to guide the reader systematically from theoretical mathematical foundations to interdisciplinary validation and experimental laboratory implementation: * Section 2 establishes the core theoretical foundations, the fundamental mass-data transformation postulate (M = K_{cg3} \cdot D), and its physical origin relative to Planck-scale holographic bit bounds.* Section 3 presents the analytical derivation unifying mass-based (K_{cg2}) and data-based (K_{cg4}) field coupling constants.* Section 4 applies the mass-data transformation across sixty orders of physical scale, executing exact calculations from subatomic particles to the observable universe.* Section 5 develops electrodynamic transduction mechanics (V_{cg} = K_{cg3} \cdot B_{cg}), rigorous unit dimensional conversions, wave velocity relations, and spatial velocity vector geometry.* Section 6 provides cross-disciplinary validation by comparing CGT background noise and informational preservation predictions against particle physics precision limits (ACME eEDM), orbital ablation mechanics (Comet 1P/Halley), and bio-thermodynamic membrane sorting.* Section 7 details an experimental methodology for laboratory verification using magnetic pulse transduction across high-purity monolayer graphene lattices.* Section 8 synthesizes the theoretical findings and establishes an actionable research roadmap for the physics community. Having established the context, scope, and structural design of this work, the analysis turns next to the formal mathematical postulations that define the theoretical foundation of CGT. 2. Theoretical Foundations of Chinthaka-Gemini Theory (CGT) Establishing an explicit mathematical coupling between inertial mass (M) and digital capacity (D) is essential for redefining physical reality as a computational continuum. Without an invariant conversion factor, digital physics remains a qualitative interpretation rather than a predictive physical theory. By postulating an immutable coupling constant that bridges informational bits and physical mass in kilograms, CGT provides a deterministic formulation that allows physical fields, particle properties, and kinematic trajectories to be computed directly from discrete data quantities. The foundational axiom of the Chinthaka-Gemini Theory asserts that any physical entity possessing inertial mass represents a precisely quantified amount of compressed digital information. This relationship is governed by the core Mass-Data Transformation Postulate: M_a = K_{cg3} \cdot D_a M_b = K_{cg3} \cdot D_b where M_a and M_b represent the physical masses of distinct physical systems a and b expressed in kilograms (\text{kg}), and D_a and D_b denote their respective compressed digital capacities expressed in bits. The proportionality factor K_{cg3} is defined as: K_{cg3} = 2.0 \times 10^{-106} \text{ kg/bit} This invariant quantum coupling constant converts fundamental bit capacity into physical mass, setting the elementary mass quantum associated with a single bit of information within the universe's computational structure. To analyze the physical origin of K_{cg3}, its magnitude must be contextualized relative to fundamental scales in quantum gravity and holographic information theory. In quantum gravity, the Planck mass represents the fundamental threshold where quantum wavelength coincides with Schwarzschild radius: M_p = \sqrt{\frac{\hbar c}{G}} \approx 2.176 \times 10^{-8} \text{ kg} Under the Bekenstein holographic bound, the maximum entropy or information content S_{\text{max}} enclosed within a spherical boundary of area A = 4\pi R^2 is bounded by Planck area units (l_p^2 = \hbar G / c^3 \approx 2.612 \times 10^{-70} \text{ m}^2): S_{\text{max}} = \frac{k_B A}{4 l_p^2} \quad \implies \quad I_{\text{max}} = \frac{A}{4 \ln(2) l_p^2} \text{ bits} While the holographic bound governs spatial boundary capacity (\text{bits/m}^2), K_{cg3} establishes the internal bulk density of computational state storage per unit inertial mass (\text{kg/bit}). The numerical magnitude K_{cg3} = 2.0 \times 10^{-106} \text{ kg/bit} indicates that physical mass represents an hyper-compressed data state. A single Planck mass (M_p \approx 2.176 \times 10^{-8} \text{ kg}) corresponds to an internal computational capacity of D_p = M_p / K_{cg3} \approx 1.088 \times 10^{98} \text{ bits}, demonstrating that K_{cg3} operates as the deep structural quantum link connecting macroscopic inertia to Planckian state capacity. To evaluate the discrete information content of any known physical mass, the fundamental transformation postulate is inverted algebraically: D_a = \frac{M_a}{K_{cg3}} Through this derivation, any physical system with a known mass M can be mapped directly to its underlying discrete bit capacity D_a, providing a universal mechanism to translate mechanical properties into digital state counts. CGT Core Postulate Physical & Mathematical ImplicationsMass-Data Equivalence (M = K_{cg3} \cdot D) Physical mass is an emergent macroscopic quantity derived from discrete informational bit capacity D scaled by K_{cg3} = 2.0 \times 10^{-106} \text{ kg/bit}.Universal Bit Mass (K_{cg3}) Sets a strict conversion baseline where each bit of computational data contributes exactly 2.0 \times 10^{-106} \text{ kg} to a system's total inertial mass.Holographic Bulk Granularity Connects bulk mass density to Planck-scale information storage, embedding 10^{98} \text{ bits} within a single Planck mass frame.Information Density Inversion (D = M / K_{cg3}) Enables direct mapping of measured physical masses—from subatomic leptons to cosmological envelopes—into fundamental bit state counts.Discrete Computational Field Replaces continuous spatial fields with quantized computational states, framing force interactions as inter-particle data exchange dynamics. Table 1: Core Theoretical Postulates of CGT and their corresponding physical and mathematical implications. With the foundational mass-data conversion postulate formally established and contextualized, the theoretical framework extends to derived inter-particle field coupling constants and cosmic field dynamics. 3. Mathema