🚀 ANNOUNCEMENT: Publication of ECM Appendices 20–22

🔬 Extending Causal Mass-Energy Theory Across Frequency, Collapse, and Cosmological Boundaries

By Soumendra Nath Thakur | Tagore's Electronic Lab, India

ORCiD: 0000-0003-1871-7803

I'm pleased to announce the release of a critical three-part extension to the ECM series, now published and available on ResearchGate:

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📘 Appendix 20: Frequency Scaling and Energy Redistribution in Extended Classical Mechanics

🔗 DOI: 10.13140/RG.2.2.11662.06725

This appendix introduces frequency as the core driver of energy and force scaling in ECM. Replacing wave-particle duality with dynamic mass displacement logic, it establishes causal relationships such as:

Redshift, blueshift, and radiation are modelled as frequency-governed mass-energy transitions.

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📘 Appendix 21: Planck Thresholds, Energy Quantization Limits, and Nonlinear Collapse in ECM

🔗 DOI: 10.13140/RG.2.2.15017.51042

This work recasts Planck-scale transitions as causal saturation points of reversible energy exchange. At

$$f \to f_{planck} \approx 2.999 \times 10^{42} \text{ Hz},\quad \Delta Mᴍ \to Mᴍ,ʀₑₛₜ$$ $$KEᴇᴄᴍ = -\Delta PEᴇᴄᴍ = \Delta Mᴍc²,\quad v > c$$

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📘 Appendix 22: Cosmological Boundary Formation and Mass-Energy Reconfiguration in ECM Expansion

🔗 DOI: 10.13140/RG.2.2.26761.56166

Redefining cosmic expansion through energetic redistribution, this appendix introduces a non-metric cosmological boundary where

$$\Delta Mᴍ \to 0,\quad Fᴇᴄᴍ \to 0,\quad \text{at } t = t₀$$

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🧭 These three appendices form a cohesive pillar in the ECM framework—bridging photon-scale quantization, trans-Planckian collapse, and universal boundary emergence.

Feedback, discussion, and collaboration are warmly welcomed.

🔗 View the full ECM series here: researchgate.net/profile/Soumendra-Nath-Thakur

— Soumendra Nath Thakur