Linear Perturbations of the Scalar Temporal Field Ontology and Boltzmann-Code Predictions for the CMB Angular Power Spectrum
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| Language: | English |
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2025
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| _version_ | 1866901227423399936 |
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| author | Howe, Cale Scott |
| author_facet | Howe, Cale Scott |
| contents | <p>This paper derives the full linear perturbation theory of the Scalar Temporal Field Ontology (STFO) for a general temporal Lagrangian <span><span>P(τ,X)P(\tau, X)</span><span><span><span>P</span><span>(</span><span>τ</span><span>,</span><span>X</span><span>)</span></span></span></span> and provides an explicit mapping to Einstein–Boltzmann solvers such as CLASS and CAMB.</p> <p>The temporal field perturbation <span><span>δτ\delta\tau</span><span><span><span>δ</span><span>τ</span></span></span></span> is shown to behave as a k-essence degree of freedom with an exact effective sound speed <span><span>cs2=PX/(PX+2XPXX)c_s^2 = P_X / (P_X + 2 X P_{XX})</span><span><span><span><span>c</span><span><span><span><span><span><span>s</span></span><span><span>2</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>P</span><span><span><span><span><span><span>X</span></span></span><span></span></span></span></span></span><span>/</span><span>(</span><span><span>P</span><span><span><span><span><span><span>X</span></span></span><span></span></span></span></span></span><span>+</span></span><span><span>2</span><span>X</span><span><span>P</span><span><span><span><span><span><span><span>XX</span></span></span></span><span></span></span></span></span></span><span>)</span></span></span></span>, vanishing anisotropic stress, and well-defined stability conditions.</p> <p>Explicit expressions for the temporal energy density perturbation, pressure perturbation, and velocity divergence are derived, enabling direct computation of the CMB temperature and polarization angular power spectra <span><span>CℓC_\ell</span><span><span><span><span>C</span><span><span><span><span><span><span>ℓ</span></span></span><span></span></span></span></span></span></span></span></span>.</p> <p>This work completes the transition of STFO from background cosmology to precision observable predictions and provides the technical foundation required to confront the theory with Planck and next-generation CMB data.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18057894 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Linear Perturbations of the Scalar Temporal Field Ontology and Boltzmann-Code Predictions for the CMB Angular Power Spectrum Howe, Cale Scott Scalar Temporal Field Ontology cosmological perturbations k-essence cosmic microwave background Boltzmann equations CLASS CAMB modified gravity effective field theory time as a field <p>This paper derives the full linear perturbation theory of the Scalar Temporal Field Ontology (STFO) for a general temporal Lagrangian <span><span>P(τ,X)P(\tau, X)</span><span><span><span>P</span><span>(</span><span>τ</span><span>,</span><span>X</span><span>)</span></span></span></span> and provides an explicit mapping to Einstein–Boltzmann solvers such as CLASS and CAMB.</p> <p>The temporal field perturbation <span><span>δτ\delta\tau</span><span><span><span>δ</span><span>τ</span></span></span></span> is shown to behave as a k-essence degree of freedom with an exact effective sound speed <span><span>cs2=PX/(PX+2XPXX)c_s^2 = P_X / (P_X + 2 X P_{XX})</span><span><span><span><span>c</span><span><span><span><span><span><span>s</span></span><span><span>2</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>P</span><span><span><span><span><span><span>X</span></span></span><span></span></span></span></span></span><span>/</span><span>(</span><span><span>P</span><span><span><span><span><span><span>X</span></span></span><span></span></span></span></span></span><span>+</span></span><span><span>2</span><span>X</span><span><span>P</span><span><span><span><span><span><span><span>XX</span></span></span></span><span></span></span></span></span></span><span>)</span></span></span></span>, vanishing anisotropic stress, and well-defined stability conditions.</p> <p>Explicit expressions for the temporal energy density perturbation, pressure perturbation, and velocity divergence are derived, enabling direct computation of the CMB temperature and polarization angular power spectra <span><span>CℓC_\ell</span><span><span><span><span>C</span><span><span><span><span><span><span>ℓ</span></span></span><span></span></span></span></span></span></span></span></span>.</p> <p>This work completes the transition of STFO from background cosmology to precision observable predictions and provides the technical foundation required to confront the theory with Planck and next-generation CMB data.</p> |
| title | Linear Perturbations of the Scalar Temporal Field Ontology and Boltzmann-Code Predictions for the CMB Angular Power Spectrum |
| topic | Scalar Temporal Field Ontology cosmological perturbations k-essence cosmic microwave background Boltzmann equations CLASS CAMB modified gravity effective field theory time as a field |
| url | https://doi.org/10.5281/zenodo.18057894 |