বুধবার, ২৯ জুলাই, ২০২৬

=============================================================== शोध अपडेट और संस्करण संबंधी महत्वपूर्ण सूचना (Research Update) =============================================================== 2018 से 2021 के बीच Mendeley Data पर प्रकाशित मेरे शुरुआती शोध पत्रों और डेटासेट (जैसे: Mass Energy in Pythagoras formula, Atomic Time - Space, ATOM to NUCLEUS) को पाठकों और शोधकर्ताओं का भरपूर समर्थन मिला था। (2018–2021) गूगल सर्च में पहले अधिक दिखाई देते थे। लेकिन समय के साथ मैंने उन्हीं मूल विचारों को गणितीय रूप से विकसित करते हुए OSF और Zenodo, Mendeley Data पर अनेक उन्नत (Advanced) संस्करण प्रकाशित किए। अब मुझे लगता है कि पाठकों और सर्च इंजन दोनों के लिए यह समझना कठिन हो गया है कि कौन-सा नया शोध-पत्र किस पुराने शोध-पत्र का विस्तारित (Extended) या उन्नत (Upgraded) संस्करण है। इसी कारण मैं अपने सभी पुराने शोध-पत्रों को उनके नवीनतम संस्करणों (OSF और Zenodo प्रकाशनों) से DOI और शीर्षक के माध्यम से जोड़ने की योजना बना रहा हूँ। इससे मेरे शोध की विकास-यात्रा (Research Evolution) स्पष्ट रूप से दिखाई देगी और पाठकों को मूल विचार से लेकर नवीनतम गणितीय एवं सैद्धांतिक विकास तक पहुँचने में सुविधा होगी। मेरा उद्देश्य केवल नए शोध-पत्र प्रकाशित करना नहीं है, बल्कि अपने पूरे शोध-कार्य को एक सतत और सुव्यवस्थित वैज्ञानिक अनुसंधान कार्यक्रम (Continuous Research Program) के रूप में प्रस्तुत करना है। आप सभी के सुझाव और रचनात्मक टिप्पणियों का स्वागत है। ORCID Profile (Complete Timeline): https://orcid.org/0000-0002-9456-4397 ================ ==================================================================== RESEARCH EVOLUTION MAP Author: Sree Debasish Dasgupta ORCID: 0000-0002-9456-4397 ========================================== Original Research (Foundation) ↓ Atomic Mass – Energy–Primary Colour (2018) DOI: https://doi.org/10.17632/358bfdjvwg.1 ⬇ Expanded into Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ------------------------------------------ Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ⬇ Expanded into The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ------------------------------------------ ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ⬇ Expanded into A Unified Geometric Model of Atomic Shells: Deriving 2n² and 13.6 eV through Hexagonal Induction Packing DOI: https://doi.org/10.17605/osf.io/za7m9 ------------------------------------------ Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ⬇ Expanded into A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ------------------------------------------ Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ⬇ Direct Upgrade The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ------------------------------------------ Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ⬇ Direct Upgrade Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ------------------------------------------ The relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ⬇ Expanded into Unified Harmonic Field Theory: A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17632/kmpj2y8362.1 ------------------------------------------ Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ⬇ Expanded into The Geometric Resonance of Atomic Matter: A Unified Field Theory of Spectral Bars DOI: https://doi.org/10.17605/osf.io/qnw5k ------------------------------------------ Unified Harmonic Field Theory (2026) DOI: https://doi.org/10.17632/kmpj2y8362.1 ⬇ Mathematical Refinement A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ------------------------------------------ Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ⬇ Foundational Extension The Sree Debasish Identity: A Deterministic Discrete-Harmonic Framework for Universal Structure DOI: https://doi.org/10.17605/osf.io/s52w9 ------------------------------------------ The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ⬇ Mathematical Extension Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ------------------------------------------ The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ⬇ Extended into The Noise-Gravity Duality:Emergent Time, Gravity, and Decoherence from a Single Information Field DOI: https://doi.org/10.5281/zenodo.20839947 ==== ============= RESEARCH EVOLUTION OF THE WORKS ================ 1. Original Article Atomic Mass – Energy–Primary Colour (2018) DOI: : https://doi.org/10.17632/358bfdjvwg.1 ↓ Developed into • The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Further Developed into • Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Latest Extension • A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ---------------------------------------------------------- 2. Original Article Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ↓ Developed into • The Fundamental Symmetry DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193 ---------------------------------------------------------- 3. Original Article ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ↓ Developed into • A Unified Geometric Model of Atomic Shells DOI: https://doi.org/10.17605/osf.io/za7m9 ↓ Extended into • Geometric Origin of the 2n² Electron Shell Rule DOI: https://doi.org/10.5281/zenodo.21018566 ---------------------------------------------------------- 4. Original Article Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ↓ Developed into • A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ↓ Extended into • Energy-Based Harmonic Confinement Model for Particle Mass Spectrum DOI: https://doi.org/10.5281/zenodo.19594412 ---------------------------------------------------------- 5.Original Article Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ↓ Direct Mathematical Upgrade • The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ↓ Extended into • The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ↓ Further Mathematical Development • Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ---------------------------------------------------------- 6.Original Article Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ↓ Developed into • The Geometric Resonance of Atomic Matter DOI: https://doi.org/10.17605/osf.io/qnw5k ↓ Latest Version • Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ---------------------------------------------------------- 7. Original Article The Relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ↓ Developed into • Unified Harmonic Field Theory DOI: https://doi.org/10.17632/kmpj2y8362.1 ↓ Expanded into • Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Further Developed • The Sree Debasish Identity DOI: https://doi.org/10.17605/osf.io/s52w9 ---------------------------------------------------------- 8.Original Article Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ↓ Developed into • The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193

মঙ্গলবার, ২৮ জুলাই, ২০২৬

গবেষণা আপডেট ও সংস্করণ সংক্রান্ত ঘোষণা

গবেষণা আপডেট ও সংস্করণ সংক্রান্ত ঘোষণা (Research Update) ২০১৮ থেকে ২০২১ সালের মধ্যে আমার প্রকাশিত প্রাথমিক গবেষণাপত্র ও ডেটাসেটগুলো (যেমন: Mass Energy in Pythagoras formula, Atomic Time - Space, ATOM to NUCLEUS) Mendeley Data-তে ব্যাপকভাবে পাঠকপ্রিয়তা পেয়েছিল। সেই মৌলিক কাজের ধারাবাহিকতায় ২০২৬ সালে আমি Unified Harmonic Constant Theory (UHCT)-কে আরও সমৃদ্ধ করে OSF এবং Zenodo প্ল্যাটফর্মে বিস্তারিত গাণিতিক প্রমাণসহ প্রকাশ করেছি। প্রধান পরিবর্তন: আগে যেখানে ডায়মেনশন ও পাওয়ার ছাড়া সরল হিসাব উপস্থাপন করা হয়েছিল, নতুন সংস্করণে সেখানে ডাইমেনশনাল অ্যানালিসিস, পাওয়ার এক্সপোনেন্ট (Exponents), এবং ৮-কালার ল্যাটিস সিমেট্রি যুক্ত করে মডেলটিকে পূর্ণাঙ্গ করা হয়েছে। আমার পুরো কাজের ক্রমানুসারে লিংক ও প্রোফাইল সংকলন: ORCID Profile (Complete Timeline): https://orcid.org/0000-0002-9456-4397 ================================================================================================= RESEARCH EVOLUTION MAP Author: Sree Debasish Dasgupta ORCID: 0000-0002-9456-4397 ========================================== Original Research (Foundation) ↓ Atomic Mass – Energy–Primary Colour (2018) DOI: https://doi.org/10.17632/358bfdjvwg.1 ⬇ Expanded into Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ------------------------------------------ Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ⬇ Expanded into The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ------------------------------------------ ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ⬇ Expanded into A Unified Geometric Model of Atomic Shells: Deriving 2n² and 13.6 eV through Hexagonal Induction Packing DOI: https://doi.org/10.17605/osf.io/za7m9 ------------------------------------------ Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ⬇ Expanded into A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ------------------------------------------ Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ⬇ Direct Upgrade The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ------------------------------------------ Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ⬇ Direct Upgrade Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ------------------------------------------ The relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ⬇ Expanded into Unified Harmonic Field Theory: A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17632/kmpj2y8362.1 ------------------------------------------ Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ⬇ Expanded into The Geometric Resonance of Atomic Matter: A Unified Field Theory of Spectral Bars DOI: https://doi.org/10.17605/osf.io/qnw5k ------------------------------------------ Unified Harmonic Field Theory (2026) DOI: https://doi.org/10.17632/kmpj2y8362.1 ⬇ Mathematical Refinement A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ------------------------------------------ Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ⬇ Foundational Extension The Sree Debasish Identity: A Deterministic Discrete-Harmonic Framework for Universal Structure DOI: https://doi.org/10.17605/osf.io/s52w9 ------------------------------------------ The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ⬇ Mathematical Extension Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ------------------------------------------ The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ⬇ Extended into The Noise-Gravity Duality:Emergent Time, Gravity, and Decoherence from a Single Information Field DOI: https://doi.org/10.5281/zenodo.20839947 ==== ============= RESEARCH EVOLUTION OF THE WORKS ================ 1. Original Article Atomic Mass – Energy–Primary Colour (2018) DOI: : https://doi.org/10.17632/358bfdjvwg.1 ↓ Developed into • The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Further Developed into • Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Latest Extension • A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ---------------------------------------------------------- 2. Original Article Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ↓ Developed into • The Fundamental Symmetry DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193 ---------------------------------------------------------- 3. Original Article ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ↓ Developed into • A Unified Geometric Model of Atomic Shells DOI: https://doi.org/10.17605/osf.io/za7m9 ↓ Extended into • Geometric Origin of the 2n² Electron Shell Rule DOI: https://doi.org/10.5281/zenodo.21018566 ---------------------------------------------------------- 4. Original Article Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ↓ Developed into • A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ↓ Extended into • Energy-Based Harmonic Confinement Model for Particle Mass Spectrum DOI: https://doi.org/10.5281/zenodo.19594412 ---------------------------------------------------------- 5.Original Article Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ↓ Direct Mathematical Upgrade • The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ↓ Extended into • The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ↓ Further Mathematical Development • Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ---------------------------------------------------------- 6.Original Article Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ↓ Developed into • The Geometric Resonance of Atomic Matter DOI: https://doi.org/10.17605/osf.io/qnw5k ↓ Latest Version • Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ---------------------------------------------------------- 7. Original Article The Relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ↓ Developed into • Unified Harmonic Field Theory DOI: https://doi.org/10.17632/kmpj2y8362.1 ↓ Expanded into • Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Further Developed • The Sree Debasish Identity DOI: https://doi.org/10.17605/osf.io/s52w9 ---------------------------------------------------------- 8.Original Article Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ↓ Developed into • The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193

The Evolution of Unified Harmonic Constant Theory (UHCT): From Early Mass-Energy Datasets to Dimensional Exponent Scaling

The Evolution of Unified Harmonic Constant Theory (UHCT): From Early Mass-Energy Datasets to Dimensional Exponent Scaling Introduction & Background Between 2018 and 2021, I published foundational research datasets on Mendeley Data focusing on mass-energy equivalency, space-time geometry, and atomic structures (including works like Mass Energy in Pythagoras formula, ATOM to NUCLEUS, and Atomic Time – Space). These early works explored fundamental physical relationships through unscaled, dimensionless geometric models. The Dimensional Upgrade (2026 Shift) To build a more rigorous analytical bridge with modern quantum mechanics and general relativity, my recent work (2026 series on OSF and Zenodo) introduces explicit dimensional power exponents, scale-dependent harmonic constants, and 8-color lattice symmetries. While the early 2018–2021 datasets provided the primary geometric intuition, the 2026 monographs present the complete, exponent-scaled dimensional model. Key Research Categories & Version Mapping: Mass-Energy & Geometry: Evolution from Mass Energy in Pythagoras formula (Mendeley, 2020) to The Geometric Framework of Mass-Energy Equivalency (OSF, 2026). Extended Relativistic Models: Evolution from Energy to Mass Conversion (Mendeley, 2020) to Beyond E=mc^2: The Dasgupta Equation (OSF, 2026). Atomic Shells & Subatomic Constants: Derivations of 2n^2, 13.6\text{ eV}, and \pi-emergence through hexagonal induction packing and lattice quantization. Complete Archives & Academic Profiles: ORCID Profile: https://orcid.org/0000-0002-9456-4397 OSF Preprints: https://osf.io/user/s8r69 Zenodo Repository: https://zenodo.org/ Mendeley Data:- https://data.mendeley.com/research-data/?query=sree%20debasish RESEARCH EVOLUTION MAP Author: Sree Debasish Dasgupta ORCID: 0000-0002-9456-4397 ========================================== Original Research (Foundation) ↓ Atomic Mass – Energy–Primary Colour (2018) DOI: https://doi.org/10.17632/358bfdjvwg.1 ⬇ Expanded into Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ------------------------------------------ Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ⬇ Expanded into The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ------------------------------------------ ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ⬇ Expanded into A Unified Geometric Model of Atomic Shells: Deriving 2n² and 13.6 eV through Hexagonal Induction Packing DOI: https://doi.org/10.17605/osf.io/za7m9 ------------------------------------------ Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ⬇ Expanded into A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ------------------------------------------ Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ⬇ Direct Upgrade The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ------------------------------------------ Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ⬇ Direct Upgrade Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ------------------------------------------ The relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ⬇ Expanded into Unified Harmonic Field Theory: A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17632/kmpj2y8362.1 ------------------------------------------ Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ⬇ Expanded into The Geometric Resonance of Atomic Matter: A Unified Field Theory of Spectral Bars DOI: https://doi.org/10.17605/osf.io/qnw5k ------------------------------------------ Unified Harmonic Field Theory (2026) DOI: https://doi.org/10.17632/kmpj2y8362.1 ⬇ Mathematical Refinement A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ------------------------------------------ Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ⬇ Foundational Extension The Sree Debasish Identity: A Deterministic Discrete-Harmonic Framework for Universal Structure DOI: https://doi.org/10.17605/osf.io/s52w9 ------------------------------------------ The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ⬇ Mathematical Extension Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ------------------------------------------ The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ⬇ Extended into The Noise-Gravity Duality:Emergent Time, Gravity, and Decoherence from a Single Information Field DOI: https://doi.org/10.5281/zenodo.20839947 ==== ============= RESEARCH EVOLUTION OF THE WORKS ================ 1. Original Article Atomic Mass – Energy–Primary Colour (2018) DOI: : https://doi.org/10.17632/358bfdjvwg.1 ↓ Developed into • The Fundamental Symmetry: The Relationship of Energy with Atomic Structure, Time, and Space DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Further Developed into • Unified Harmonic Constant Theory (UHCT): A Geometric and Spectral Synthesis of Subatomic Constants DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Latest Extension • A Discrete Orthogonal Field Model for Exponential Mass Scaling DOI: https://doi.org/10.17605/osf.io/uamdr ---------------------------------------------------------- 2. Original Article Atomic Time – Space (2019) DOI: https://doi.org/10.17632/c5tg973twk.2 ↓ Developed into • The Fundamental Symmetry DOI: https://doi.org/10.17605/osf.io/vqw4a ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193 ---------------------------------------------------------- 3. Original Article ATOM to NUCLEUS (2019) DOI: https://doi.org/10.17632/x5mk2rg8yg.2 ↓ Developed into • A Unified Geometric Model of Atomic Shells DOI: https://doi.org/10.17605/osf.io/za7m9 ↓ Extended into • Geometric Origin of the 2n² Electron Shell Rule DOI: https://doi.org/10.5281/zenodo.21018566 ---------------------------------------------------------- 4. Original Article Energy to Energy to Mass Conversion (2020) DOI: https://doi.org/10.17632/vzps7jyp87.1 ↓ Developed into • A Geometry-Driven Harmonic Scaling Framework for Energy Localization and Emergent Mass DOI: https://doi.org/10.5281/zenodo.19575534 ↓ Extended into • Energy-Based Harmonic Confinement Model for Particle Mass Spectrum DOI: https://doi.org/10.5281/zenodo.19594412 ---------------------------------------------------------- 5.Original Article Mass Energy in Pythagoras Formula (2020) DOI: https://doi.org/10.17632/rbx6gr7gds ↓ Direct Mathematical Upgrade • The Geometric Framework of Mass-Energy Equivalency: A Pythagorean Analysis of Subatomic Structures DOI: https://doi.org/10.17605/osf.io/7h8p4 ↓ Extended into • The Dasgupta Atomic π Framework DOI: https://doi.org/10.17605/osf.io/6h7nr ↓ Further Mathematical Development • Rigidity, Compact Closure, and the GEI Framework for π-Emergence DOI: https://doi.org/10.5281/zenodo.20465451 ---------------------------------------------------------- 6.Original Article Particle is created by eight lights (2021) DOI: https://doi.org/10.17632/ydhvyy52wb.2 ↓ Developed into • The Geometric Resonance of Atomic Matter DOI: https://doi.org/10.17605/osf.io/qnw5k ↓ Latest Version • Emergence of Elementary Particles from an 8-Color Informational Lattice Symmetry DOI: https://doi.org/10.5281/zenodo.21385850 ---------------------------------------------------------- 7. Original Article The Relationship of Energy with Atoms and Time, Space (2021) DOI: https://doi.org/10.17632/j73pz5g35g.1 ↓ Developed into • Unified Harmonic Field Theory DOI: https://doi.org/10.17632/kmpj2y8362.1 ↓ Expanded into • Unified Harmonic Constant Theory (UHCT) DOI: https://doi.org/10.17605/osf.io/m9xds ↓ Further Developed • The Sree Debasish Identity DOI: https://doi.org/10.17605/osf.io/s52w9 ---------------------------------------------------------- 8.Original Article Atomic Philosophy in the Path of Light (2024) DOI: https://doi.org/10.17632/st6fxh2mnb.1 ↓ Developed into • The Dasgupta Unified Field Theory DOI: https://doi.org/10.17605/osf.io/9sngb ↓ Extended into • The Noise-Gravity Duality DOI: https://doi.org/10.5281/zenodo.21195193

সোমবার, ২৫ মে, ২০২৬

Gaussianization Flow Law (A Non-Gaussian Phase Noise Invariant in Stochastic and Quantum Systems)

Gaussianization Flow Law

(A Non-Gaussian Phase Noise Invariant in Stochastic and Quantum Systems) This paper studies the evolution of non-Gaussian phase fluctuations in stochastic and quantum systems. We construct an observable based on second and fourth cumulants and show that it approaches a constant value under broad physical conditions.

The main result is the emergence of a universal invariant:
Y(t) = σ⁴(t) / (κ(t) · t)
We show that this quantity converges to a constant λ under short-memory, finite-cumulant dynamics. This connects stochastic processes, decoherence physics, and renormalization flow into a unified structure.

Link:- https://zenodo.org/records/19810090 .

https://doi.org/10.5281/zenodo.19810089

GAUGE BALANCE LAW

GAUGE BALANCE LAW

This paper introduces the Gauge Balance Law, a variational principle governing gauge coupling unification. We define an invariant B = b1 + b3 − 2b2 and demonstrate that minimizing the spread of inverse couplings leads to B ≈ 0. The result is derived analytically, extended to 2-loop order, and validated numerically. Physical implications and experimental predictions are discussed.