Addendum VII to the Berg Theory
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2026
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| _version_ | 1866901950747901952 |
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| author | Berg, Stefan |
| author_facet | Berg, Stefan |
| contents | <p>Addendum VII extends the Berg Theory by fixing the homogeneous (background) cosmological dynamics of the energy web in the spatially closed Friedmann–Lemaître–Robertson–Walker branch (positive spatial-curvature sign). The universe is treated as one connected energy web carried by a complex scalar field with an amplitude–phase decomposition; the background evolution is anchored to the core sign conventions and to an action-checked Jordan-frame scalar–tensor kernel with non-minimal curvature coupling. In this formulation, the cosmological gravitational channel is controlled by the Jordan-frame curvature prefactor (the coefficient multiplying the Ricci scalar), and admissible evolution is restricted to the regime where this prefactor remains positive.</p> <p>Version 2 adds a full audit and classifier layer. It introduces a convention-audit page that locks the wave operator definition, curvature conventions, symbol policy (including the amplitude-symbol choice to avoid collisions), the canonical lead equation, and the Jordan-frame action-check kernel in one place. On this locked basis, Version 2 derives the closed-background Friedmann constraint and the acceleration equation in an explicitly audit-ready form, and it provides an effective-fluid bookkeeping that makes turning-point reasoning deterministic. Turning points are defined operationally by a vanishing expansion rate, and Version 2 supplies: (i) the turning-point support condition in the closed branch evaluated at the event, (ii) an unambiguous event classifier that distinguishes turnaround versus bounce by the sign of the time-derivative of the expansion rate at the event, and (iii) a compact analytic reduction that expresses the classifier as a single inequality in effective density–pressure bookkeeping at the turning point, under the admissibility condition. The homogeneous phase sector is also made explicit through a conserved comoving phase charge; this clarifies how “neutral” versus “charged” background runs differ operationally.</p> <p>Version 2 also expands the model-to-data interface and falsification discipline. It adds a reproducible numerical demonstrator protocol (what to specify, what to log, how to monitor the Friedmann-constraint residual, how to detect and classify turning events, and which regularity and admissibility monitors must remain controlled). It strengthens the module interfaces to Addendum VI by treating matter formation as protocol-defined local nucleation that enters cosmology only through controlled production-window statistics (production versus survival is kept separate), and it records an optional phase-bias route whose timing is governed by the background history. Finally, Version 2 provides an experiments-and-falsification catalog framed as cross-probe consistency windows: conservative benchmark windows for curvature-sign bookkeeping away from turning points (with an explicit caveat that the usual curvature diagnostic becomes ill-conditioned as the expansion rate approaches zero), external bounds on gravitational-coupling drift, and a Solar-System weak-field consistency filter (post-Newtonian slip) used as an external exclusion criterion rather than as a background-derived prediction.</p> <p>This addendum is a supplement to the core article “The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy” (Core Article Version 4, Zenodo DOI: 10.5281/zenodo.18141845).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18250004 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Addendum VII to the Berg Theory Berg, Stefan Berg Theory closed FLRW cyclic cosmology scalar-tensor non-minimal coupling energy web bounce turnaround curvature varying G turning point observational consistency <p>Addendum VII extends the Berg Theory by fixing the homogeneous (background) cosmological dynamics of the energy web in the spatially closed Friedmann–Lemaître–Robertson–Walker branch (positive spatial-curvature sign). The universe is treated as one connected energy web carried by a complex scalar field with an amplitude–phase decomposition; the background evolution is anchored to the core sign conventions and to an action-checked Jordan-frame scalar–tensor kernel with non-minimal curvature coupling. In this formulation, the cosmological gravitational channel is controlled by the Jordan-frame curvature prefactor (the coefficient multiplying the Ricci scalar), and admissible evolution is restricted to the regime where this prefactor remains positive.</p> <p>Version 2 adds a full audit and classifier layer. It introduces a convention-audit page that locks the wave operator definition, curvature conventions, symbol policy (including the amplitude-symbol choice to avoid collisions), the canonical lead equation, and the Jordan-frame action-check kernel in one place. On this locked basis, Version 2 derives the closed-background Friedmann constraint and the acceleration equation in an explicitly audit-ready form, and it provides an effective-fluid bookkeeping that makes turning-point reasoning deterministic. Turning points are defined operationally by a vanishing expansion rate, and Version 2 supplies: (i) the turning-point support condition in the closed branch evaluated at the event, (ii) an unambiguous event classifier that distinguishes turnaround versus bounce by the sign of the time-derivative of the expansion rate at the event, and (iii) a compact analytic reduction that expresses the classifier as a single inequality in effective density–pressure bookkeeping at the turning point, under the admissibility condition. The homogeneous phase sector is also made explicit through a conserved comoving phase charge; this clarifies how “neutral” versus “charged” background runs differ operationally.</p> <p>Version 2 also expands the model-to-data interface and falsification discipline. It adds a reproducible numerical demonstrator protocol (what to specify, what to log, how to monitor the Friedmann-constraint residual, how to detect and classify turning events, and which regularity and admissibility monitors must remain controlled). It strengthens the module interfaces to Addendum VI by treating matter formation as protocol-defined local nucleation that enters cosmology only through controlled production-window statistics (production versus survival is kept separate), and it records an optional phase-bias route whose timing is governed by the background history. Finally, Version 2 provides an experiments-and-falsification catalog framed as cross-probe consistency windows: conservative benchmark windows for curvature-sign bookkeeping away from turning points (with an explicit caveat that the usual curvature diagnostic becomes ill-conditioned as the expansion rate approaches zero), external bounds on gravitational-coupling drift, and a Solar-System weak-field consistency filter (post-Newtonian slip) used as an external exclusion criterion rather than as a background-derived prediction.</p> <p>This addendum is a supplement to the core article “The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy” (Core Article Version 4, Zenodo DOI: 10.5281/zenodo.18141845).</p> |
| title | Addendum VII to the Berg Theory |
| topic | Berg Theory closed FLRW cyclic cosmology scalar-tensor non-minimal coupling energy web bounce turnaround curvature varying G turning point observational consistency |
| url | https://doi.org/10.5281/zenodo.18250004 |