Energy Inversion Principle (EIP), reconstructing molecular binding energy via input-output energy differentials

Eurasian Journal of Physics and Functional Materials Energy-Imprinted Principle(EIP) for Gas Binding and Composition Inference --Manuscript Draft-- Manuscript Number: Full Title: Energy-Imprinted Principle(EIP) for Gas Binding and Composition Inference Short Title: Article Type: Original Study Keywords: Corresponding Author: JaeUn Kim Ajou University KOREA, REPUBLIC OF Corresponding Author Secondary Information: Corresponding Author's Institution: Ajou University Corresponding Author's Secondary Institution: First Author: JaeUn Kim First Author Secondary Information: Order of Authors: JaeUn Kim Order of Authors Secondary Information: Manuscript Region of Origin: KOREA, REPUBLIC OF Abstract: We introduce the Energy-Imprinted Principle (EIP), a unified physical framework that derives gas binding energy, composition inference, and unknown species detection from a single calibrated energy input and its measured output. Unlike traditional gas analysis methods requiring physical or chemical separation, EIP operates purely through the energetic response of a gas mixture to a known perturbation. This work formalizes the energy logic, demonstrates binding inference via algebraic energy equations, and outlines the conditions under which unknown species may be quantitatively estimated. Suggested Reviewers: Howard Stone Princeton University [email protected] Klaus Lackner Arizona State University [email protected] Additional Information: Question Response Has this manuscript been submitted previously to this journal? No Has this manuscript been submitted to the arXiv preprint server? No Do you have any conflicts of interest? No Powered by Editorial Manager® and ProduXion Manager® from Aries Systems Corporation Energy-Imprinted Principle(EIP) for Gas Binding and Composition Inference Jae Un Kim1 1Department of Physics, Ajou University, Suwon, Republic of Korea November 10, 2025 Abstract We introduce the Energy-Imprinted Principle (EIP), a unified physical framework that derives gas binding energy, composition inference, and unknown species detection from a single calibrated energy input and its measured output. Unlike traditional gas analysis methods requiring physical or chemical separation, EIP operates purely through the energetic response of a gas mixture to a known perturbation. This work formalizes the energy logic, demonstrates binding inference via algebraic energy equations, and outlines the conditions under which unknown species may be quantitatively estimated. 1 Introduction Gas analysis has traditionally depended on chemical tagging, molecular labeling, or physical separation techniques. Methods such as mass spectrometry or gas chromatography, though powerful, require expensive instruments or consumable preparation steps. In contrast, we propose the Energy-Imprinted Principle (EIP), a method based solely on input-output energy behavior, offering a model where composition is inferred through measurements rather than separation. EIP advances the idea that energy absorbed by a gas mixture encodes binding characteristics and compositional information. By controlling the input energy and precisely measuring the remaining output, the absorbed energy becomes an indirect but quantifiable measure of the gas’s internal binding properties. This allows the following capabilities: •Estimating binding energy of single-component gases. •Inferring component-wise binding behavior in known mixtures. •Detecting, and partially characterizing, unknown species via residual energy. This paper develops the mathematical formulation of EIP, highlights its conceptual uniqueness, and discusses application domains. 2 Theoretical Framework Suppose an energy packet Ein is delivered to a gas system, and the output energy measured is Eout. The absorbed energy (attributed to internal molecular binding and interactions) is defined as: Eb=Ein −Eout.(1) 1 Manuscript Click here to access/download;Manuscript;EIP.pdf 2.1 Single-Component Gas For a single gas species, Eq. (1) provides a one-shot estimate of the effective molecular binding energy Eb. No composition knowledge is required, making this case the simplest application. 2.2 Known Multi-Component Mixture Given a mixture with ncomponents and known fractions xi(where Pn i=1 xi= 1), the energy absorption is the fraction-weighted sum: Eabs = n X i=1 xiEb,i,(2) where Eb,i denotes the binding contribution of component i. 2.3 Mixtures with One Unknown Species If one additional unknown species exists with fraction yand binding energy Eb,u, then the residual energy is: Eres =Ein −Eout − n X i=1 xiEb,i =yEb,u.(3) Thus, Eb,u can be determined if yis known, or vice versa. 2.4 Mixtures with Multiple Unknown Species If multiple unknown species {yj, E(u) b,j }exist, the residual becomes: Eres = m X j=1 yjE(u) b,j .(4) In this case, additional independent experiments (varying Ein,T, or P) are required to uniquely determine individual contributions. 3 Assumptions and Practical Limits EIP assumes: •Accurate calibration of Ein and Eout. •Negligible external losses not attributable to gas interactions. •Low interaction between input energy delivery and non-target pathways. When these are satisfied, EIP offers direct algebraic pathways from measured data to composition inference. 4 Potential Applications The energetic logic underpinning EIP suggests utility in environments where conventional separation-based methods are impractical, costly, or time-constrained. Notable examples include: 2 •Atmospheric Monitoring: Rapid detection of unknown gas introduction in open or semi-closed environments. •Aerospace and Spacecraft Systems: Continuous onboard gas quality inference without chemical consumables or bulky devices. •Industrial Pipelines: Real-time drift detection in chemical or fuel delivery systems. •Closed Ecological Systems: Submarines, isolation labs, and biospheres where consumablefree monitoring is essential. •Early Warning Platforms: Low-resolution energy signatures may flag gas anomalies for higher-resolution follow-up. Since EIP operates using a purely energetic perturbation, it is suitable for modular integration in environments with constrained resources or limited instrument redundancy. 5 Comparison with Conventional Gas Analysis Methods Traditional gas analysis methods, such as mass spectrometry (MS), gas chromatography (GC), and infrared (IR) spectroscopy, rely heavily on separation, labeling, or wavelength-specific molecular identification. These approaches, though accurate and widely adopted, often require costly instruments, consumables, or vacuum conditions. By contrast, the proposed EIP framework does not perform physical separation or molecular resolution. Instead, it interprets the net energetic response of a gas mixture to a calibrated input interaction. Table 1: Comparison of analytical paradigms Method Basis Requirements Mass Spectrometry Mass-to-charge separation Vacuum, ionization, detectors Gas Chromatography Retention time separation Columns, carrier gas, standards IR Spectroscopy Molecular absorption peaks Optical calibration, transmission window EIP (This work) Energy absorption and conservation One controlled input-event measurement 6 Assumptions and Limitations The current formulation of EIP is based on several working assumptions which define its scope and limitations: •Uniform Coupling: The input energy is assumed to couple uniformly across molecular species. Deviations from this assumption may bias inferred contributions. •Macroscopic Resolution: EIP does not resolve individual molecular identities, but rather computes the energetic effects of their binding contributions. •Multiple Unknown Components: A single measurement cannot uniquely resolve multiple unknown contributions. In such cases, controlled perturbation (temperature, pressure, or Ein variation) is required. These assumptions may be refined in future experimental studies or through hybrid integration with low-resolution spectroscopic or pressure-based datasets. 3 7 Conclusion The EIP is introduced as a conceptual foundation for gas analysis via energetic behavior, without reliance on molecular identification or physical separation. Future work may develop experimental implementations and refine detection sensitivity. References [1] P. Atkins and J. de Paula, Atkins’ Physical Chemistry, Oxford University Press (2010). [2] G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press (1994). 4 Dear Editor-in-Chief, I am pleased to submit the manuscript entitled “EIP: Energy-Imprinted Principle for Gas Binding and Composition Inference” for consideration for publication in the Journal of Applied Physics. In this work, I introduce the Energy-Imprinted Principle (EIP), a novel framework that infers gas binding energies, mixture composition, and the presence of unknown gas species via a single, calibrated energy interaction. Unlike conventional analysis techniques relying on chemical separation or high-resolution spectroscopy, EIP employs an energetic approach based solely on input-output energy measurements and the conservation of energy at the molecular interaction level. The main contributions of this work are: 1. A unified input–output energy formulation for both simple and mixed gas systems. 2. A clear algebraic pathway to infer single-component binding energy, weighted multi-component binding behavior, and unknown species detection. 3. A generalizable model that shifts gas analysis from separation-based techniques to energy-based inference, offering new opportunities for analytical simplification in closed or constrained environments. This manuscript has not been published elsewhere, nor is it under consideration by any other journal. There are no conflicts of interest to declare. All results presented here are original and derived by the author. I believe that the fundamental nature of the principle, combined with its potential application in atmospheric monitoring, industrial gas systems, and spacecraft life-support environments, makes it well suited for Journal of Applied Physics and relevant to its readership. Thank you for your time and consideration. I look forward to the opportunity for this work to be reviewed by your esteemed journal. Sincerely, Jae Un Kim Department of Physics, Ajou University Suwon, Republic of Korea Email: [wodns79[email protected].kr] AUTHOR AGREEMENT FORM Eurasian Journal of Physics and Functional Materials Manuscript Title: Energy-Imprinted Principle(EIP) for Gas Binding and Composition Inference Author(s): Jae Un Kim Affiliation: Department of Physics, Ajou University, Suwon, Republic of Korea Corresponding Author Email: [email protected] Statement of Authorship and Originality I, the undersigned, hereby confirm that the above manuscript is my own original work and has not been published elsewhere, in whole or in part, nor is it under consideration for publication in any other journal. I affirm that all authors have read and approved the final version of the manuscript and agree with its submission to the Eurasian Journal of Physics and Functional Materials. Copyright and License Agreement Upon acceptance of the manuscript, I agree to transfer to the publisher the non-exclusive right to publish and distribute this article in all media and forms. The authors retain the right to reproduce, share, and archive their work for non-commercial academic purposes with proper citation of the journal. Conflict of Interest and Funding Declaration The author declares no conflict of interest and no external funding sources that influenced the results or interpretation of the research. Author Signature: ___________________________ Date: 2025-11-10 Title: Energy-Imprinted Principle(EIP) for Gas Binding and Composition Inference Author: Jae Un Kim Affiliation: Department of Physics, Ajou University, Suwon, Republic of Korea Corresponding Author: Jae Un Kim Email: wodhs790[email protected]r Keywords: Energy Imprint, Gas Binding, Composition Inference, Molecular Energy Logic, Applied Physics Manuscript Type: Original Research Article Date: November 2025 Manuscript