Forward–Causal Arithmetic Dynamics and Deterministic Rigidity A Unified Structural Framework Underlying the Riemann Hypothesis, the Birch–Swinnerton–Dyer Correspondence, and Langlands Functoriality
Fuente:
Zenodo
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Recurso digital |
| Published: |
Zenodo
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866901180708290560 |
|---|---|
| author | Paltoo, Nigel Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie |
| author_facet | Paltoo, Nigel Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie |
| contents | <p>This paper presents a deterministic arithmetic framework that replaces probabilistic heuristics with forward-causal propagation and logarithmic scale decomposition. We prove that the critical line of L-functions is a structural necessity of arithmetic causality (No-Amplification Rigidity) and that the Birch–Swinnerton–Dyer rank arises as the bounded kernel dimension of associated operators. Finally, we show that Langlands functoriality emerges as the unique stable shadow of underlying additive dynamics. All results are formulated within ZFC, bypassing analytic continuation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18344454 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Forward–Causal Arithmetic Dynamics and Deterministic Rigidity A Unified Structural Framework Underlying the Riemann Hypothesis, the Birch–Swinnerton–Dyer Correspondence, and Langlands Functoriality Paltoo, Nigel Paltoo, Eliyahu Fir-Sean Singh-Paltoo, Bindrawattie Arithmetic Rigidity, Riemann Hypothesis, BSD Conjecture, Langlands Functoriality, Forward-Causal Operators, Standing-Sitting Band Framework, Spectral Theory. <p>This paper presents a deterministic arithmetic framework that replaces probabilistic heuristics with forward-causal propagation and logarithmic scale decomposition. We prove that the critical line of L-functions is a structural necessity of arithmetic causality (No-Amplification Rigidity) and that the Birch–Swinnerton–Dyer rank arises as the bounded kernel dimension of associated operators. Finally, we show that Langlands functoriality emerges as the unique stable shadow of underlying additive dynamics. All results are formulated within ZFC, bypassing analytic continuation.</p> |
| title | Forward–Causal Arithmetic Dynamics and Deterministic Rigidity A Unified Structural Framework Underlying the Riemann Hypothesis, the Birch–Swinnerton–Dyer Correspondence, and Langlands Functoriality |
| topic | Arithmetic Rigidity, Riemann Hypothesis, BSD Conjecture, Langlands Functoriality, Forward-Causal Operators, Standing-Sitting Band Framework, Spectral Theory. |
| url | https://doi.org/10.5281/zenodo.18344454 |