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| Format: | Recurso digital |
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2025
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| Online Access: | https://doi.org/10.5281/zenodo.16911617 |
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| _version_ | 1866902275287416832 |
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| author | jiazheng liu |
| author_facet | jiazheng liu |
| contents | <p>This work presents a unified framework for deriving core physical formulas based on the discrete causal time step $\tau_0$. By imposing minimal time units, causality, and low-pass constraints, classical and quantum formulas are recovered as limiting cases of a discrete evolution. We demonstrate how Newton's second law, Einstein's mass-energy equivalence, the Schr\"odinger equation, the second law of thermodynamics, and Maxwell's equations naturally emerge from $\tau_0$-discretized causal rules. Furthermore, we discuss the physical meaning of continuity as a mathematical approximation, the role of $\tau_0$ in limiting information propagation, and the universality of discrete causal steps across scales.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16911617 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Layered τ₀ Theory: Discrete Causal Foundations of Classical and Quantum Physics jiazheng liu <p>This work presents a unified framework for deriving core physical formulas based on the discrete causal time step $\tau_0$. By imposing minimal time units, causality, and low-pass constraints, classical and quantum formulas are recovered as limiting cases of a discrete evolution. We demonstrate how Newton's second law, Einstein's mass-energy equivalence, the Schr\"odinger equation, the second law of thermodynamics, and Maxwell's equations naturally emerge from $\tau_0$-discretized causal rules. Furthermore, we discuss the physical meaning of continuity as a mathematical approximation, the role of $\tau_0$ in limiting information propagation, and the universality of discrete causal steps across scales.</p> |
| title | Layered τ₀ Theory: Discrete Causal Foundations of Classical and Quantum Physics |
| url | https://doi.org/10.5281/zenodo.16911617 |