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