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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15514404 |
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| author | Daniel, Lanchares |
| author_facet | Daniel, Lanchares |
| contents | <p>Presenting Breathing Membrane Quantum Mechanics (BMQM), a geometric, thermodynamic, and<br>axiomatic reformulation of quantum theory wherein identity, evolution, and measurement arise from<br>intrinsic rhythmic deformations of a continuous membrane field ψ(r,τ). Replacing external coordinate<br>time t with an internal breathing parameter τ, we construct a nonlinear dynamical law whose stable<br>modes are governed by the Sionic constant σ = 1.7365, corresponding to the frequency of fundamental<br>coherence.<br>Collapse is reinterpreted as an entropy-minimizing contraction of breathing degrees of freedom, while<br>quantum entanglement emerges from nonlocal phase-locked breathing across membrane subregions.<br>Axiomatic foundations are introduced, and the breathing framework is extended to relativistic settings<br>via a Lorentz-covariant form of the membrane evolution equation and Dirac-compatible mass oscillations.<br>Quantization is achieved through operator-valued breathing fields and curvature-responsive<br>Hamiltonians, generalizing the Schr¨odinger equation in a self-interacting U(1) gauge structure.<br>The model incorporates entropy-driven collapse, categorical identity formation, and vacuum<br>fluctuations consistent with cosmological constraints.<br>Numerical simulations are provided using Qiskit, enabling digital exploration of breathing<br>waveforms and entangled modes. Links to nonlinear oscillator dynamics, cavity optomechanics,<br>and Bose–Einstein condensate behavior demonstrate both conceptual and physical compatibility.<br>BMQM offers a unified variational formalism where information, rhythm, and curvature co-evolve.<br>It situates quantum identity not as externally imposed, but as dynamically stabilized structure—where<br>memory is breath, and the universe computes itself.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15514404 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Breathing Membrane Quantum Mechanics (BMQM): A Geometric Framework for Identity, Gravity, and Coherence Daniel, Lanchares <p>Presenting Breathing Membrane Quantum Mechanics (BMQM), a geometric, thermodynamic, and<br>axiomatic reformulation of quantum theory wherein identity, evolution, and measurement arise from<br>intrinsic rhythmic deformations of a continuous membrane field ψ(r,τ). Replacing external coordinate<br>time t with an internal breathing parameter τ, we construct a nonlinear dynamical law whose stable<br>modes are governed by the Sionic constant σ = 1.7365, corresponding to the frequency of fundamental<br>coherence.<br>Collapse is reinterpreted as an entropy-minimizing contraction of breathing degrees of freedom, while<br>quantum entanglement emerges from nonlocal phase-locked breathing across membrane subregions.<br>Axiomatic foundations are introduced, and the breathing framework is extended to relativistic settings<br>via a Lorentz-covariant form of the membrane evolution equation and Dirac-compatible mass oscillations.<br>Quantization is achieved through operator-valued breathing fields and curvature-responsive<br>Hamiltonians, generalizing the Schr¨odinger equation in a self-interacting U(1) gauge structure.<br>The model incorporates entropy-driven collapse, categorical identity formation, and vacuum<br>fluctuations consistent with cosmological constraints.<br>Numerical simulations are provided using Qiskit, enabling digital exploration of breathing<br>waveforms and entangled modes. Links to nonlinear oscillator dynamics, cavity optomechanics,<br>and Bose–Einstein condensate behavior demonstrate both conceptual and physical compatibility.<br>BMQM offers a unified variational formalism where information, rhythm, and curvature co-evolve.<br>It situates quantum identity not as externally imposed, but as dynamically stabilized structure—where<br>memory is breath, and the universe computes itself.</p> |
| title | Breathing Membrane Quantum Mechanics (BMQM): A Geometric Framework for Identity, Gravity, and Coherence |
| url | https://doi.org/10.5281/zenodo.15514404 |