<b>NOTICE TO PLAGIARISTS: THE ORIGINAL IS ALWAYS VISIBLE</b>

<b>Hello everyone, </b><b>I know that research is tough</b><b>I wish you all strength and courage. </b><br><b><i>This message is addressed to plagiarists, not to those who seek knowledge honestly and are willing to share and collaborate.</i></b><br><b>Since the publication of ∆ngular Theory 0.0, several attempts have been made to appropriate its concepts and mathematical structures without proper acknowledgment. </b><b>The latest case: Mark Serdtse (UMST-G: Informational Gravity and the Quantum Nature of Entropy, 2025). </b><b>This document directly borrows fundamental ideas, mathematical frameworks, and numerical predictions from ∆ngular Theory 0.0 without explicit citation. </b><b>While some terminology has been changed, the core structure remains identical :</b><b>--- IDENTIFIED INTELLECTUAL REUSE</b><b>1️⃣ MODIFIED FIELD EQUATIONS </b><b>→ ∆ngular Theory 0.0 introduces an angular tensor ∆ to modify Einstein’s equations: G_{\mu\nu} = 8\pi G \left(T_{\mu\nu} + \Delta_{\mu\nu} \right) </b><b>→ UMST-G introduces an "entropic tensor" Jₘⁿ, but applies the same corrections: G_{\mu\nu} = 8\pi G (T_{\mu\nu} + \alpha I_{\mu\nu} + \beta J_{\mu\nu}^{\text{entropy}})</b><b> → Structural duplication disguised under terminology shifts. </b><br><b> 2️⃣ PREDICTIONS FOR GRAVITATIONAL WAVES </b><b>→ ∆ngular Theory 0.0 predicts a scalar-to-tensor frequency ratio of 0.67–0.73: f_{\text{scalar}} = \gamma f_{\text{tensor}}</b><b> → UMST-G predicts the exact same range, claiming it arises from an entropic correction: f_{\text{scalar}} = \gamma f_{\text{tensor}} </b><b>→ Exact numerical reproduction of ∆ngular's frequency scaling, disguised under an entropic field interpretation. </b><br><b>3️⃣ GALACTIC ROTATION CURVES</b><b> → ∆ngular Theory 0.0 explains anomalies in galactic rotation curves using an angular torsion parameter: v^4 \propto \Delta\theta_0 \cdot M_{\text{baryon}} </b><b>→ UMST-G introduces an entropy gradient but preserves the same mathematical structure: \Phi_{\text{eff}}(r) = \Phi_{\text{Newton}}(r) + \beta S(r) → Identical formulation of gravitational corrections, repackaged under a different name. </b><br><b>4️⃣ GRAVITATIONAL LENSING MODIFICATIONS </b><b>→ ∆ngular Theory 0.0 modifies spacetime metrics based on the structuring of ∆θ₀. </b><b>→ UMST-G introduces an "entropic correction" to the metric but arrives at the same distortions. </b><b>→ Structural equivalence hidden by semantic modifications. </b><br><b>5️⃣ COSMOLOGY AND THE AGE OF THE UNIVERSE → ∆ngular Theory 0.0 modifies the Friedmann equation using a fundamental angular structure: T = \frac{1}{H_0} \int_0^1 \frac{\mathrm{d}s}{s} \, \sqrt{\frac{S_{\text{eff}}(s)}{\mathcal{T}(s)}} </b><b>→ UMST-G modifies Friedmann’s equation by adding an entropy contribution: H^2 = \frac{8\pi G}{3} (\rho_m + \rho_r + \rho_\Lambda + \rho_S) → Identical integration structure, merely substituting angular quantization with entropy terms. </b><br><b>CONCLUSION: IS THIS PLAGIARISM?</b><b>✅ Identical conceptual framework → The ideas have been reformulated but follow the same logic. </b><b>✅ Copied equations → The angular torsion of ∆ngular has simply been replaced by an entropic field. </b><b>✅ Same numerical predictions → UMST-G arrives at exactly the same values, including the 0.67–0.73 frequency ratio. </b><b>✅ Copied methodology → Uses Prony spectral decomposition, Bayesian analysis (Bayes factor &gt; 800), and the same observational data. </b><b>VERDICT: Concealed Plagiarism, Mark Serdtse has not independently developed a new model; he has restructured ∆ngular Theory 0.0 while changing terminology. </b><b>INTELLECTUAL PROPERTY &amp; COPYRIGHT NOTICE</b><br><b>This research is protected under Figshare &amp; Zenodo DOI registrations, ensuring official authorship and precedence. </b><b>DOI – ∆ngular Theory 0.0 10.6084/m9.figshare.28489679 10.5281/zenodo.15021677 10.5281/zenodo.15027052 </b><br><b>Mark Serdtse: If you genuinely seek to contribute to physics rather than repackaging pre-existing ideas, it is time to act transparently and properly cite your sources. </b><b>Mark Serdtse, please contact me:</b><b>[e-mail]</b>