SS-PHEN: Experimental Phenomenology of Scale Space: Protected Short-Range Scalar Response, Radiative Null Tests, and Matched Source Corrections

We give the experimental interface for the Scale Space successor architecture established by SS-GEO, bounded by SS-PIVOT, and dynamically closed at low energy by SS-DYN. Physical logarithmic scale remains the real coordinate u = ln(ℓ/ℓ0), but it is not treated as a fourth ordinary spatial direction. Ordinary observations are calibrated projections of a latent space–scale configuration, and static scale extension does not imply scale current. Each scale leaf carries a four-coordinate clock-reading measurement geometry gμν(x,λ), localized by F0(λ) = sech4[κ(λ − λc)]. The protected massless gravitational channel is one universal tensor zero mode with exactly the two ordinary transverse-traceless polarizations. Nonzero metric-scale modes are gapped massive spin-2 sectors and are not linearly sourced by a purely protected ordinary-matter profile. The earlier generic millimetre tensor-continuum force curve is therefore not a universal prediction. Protected ordinary matter instead couples predominantly to the repaired scalar sector: one isolated Q-like pole plus a gapped scalar continuum. At the working benchmark r = 10−6 and ζX = 1.8115 × 105, SS-DYN gives αQ ≃ 0.320825 and mQ/κ ≃ 340.936. For the illustrative tensor scale λT = 9.9 mm, this corresponds to a scalar-pole range λQ ≃ 58 μm and a scalar-continuum edge near 9.9 μm. The leading point-source correction has Yukawa form, with fractional force correction αQ(1 + R/λQ) exp(−R/λQ). Comparison with inverse-square-law experiments requires each apparatus’s extended-source transfer function rather than a direct comparison of point-particle ranges. For a protected stellar binary, the only linearly sourced tensor radiation is the universal zero mode, so the leading radiative flux is the ordinary two-polarization general-relativistic result. The massive tensor continuum is source-orthogonal, while the isolated Q pole and scalar continuum are kinematically closed at stellar-binary frequencies at the working benchmark. A universal protected scalar charge also has vanishing Newtonian dipole in the centre-of-mass frame. Body-dependent strong-field charge remains an SS-MAT matching question. Rotation–scale phenomenology remains conditional: ordinary parity-even stationary rotation without scale momentum does not source the leading mixed spatial–scale channel, whereas genuine scale momentum or other allowed mixed stress can. SS-PHEN separates universal protected response, protected-source-orthogonal gapped sectors, and SS-MAT matched departures, and specifies how these classes can be confronted with short-range-force, gravitational-wave, compact-body, and rotation-sensitive measurements. No parameter-free exclusion is claimed: absolute scale normalization, the repair parameter, apparatus transfer functions, and nonprotected source profiles remain explicit inputs.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22750906
Citations
2
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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SS-PHEN: Experimental Phenomenology of Scale Space: Protected Short-Range Scalar Response, Radiative Null Tests, and Matched Source Corrections

Donald G Palmer
2 citations
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

SS-PHEN: Experimental Phenomenology of Scale Space: Protected Short-Range Scalar Response, Radiative Null Tests, and Matched Source Corrections

Donald G Palmer
preprint en
2 citations

Abstract

We give the experimental interface for the Scale Space successor architecture established by SS-GEO, bounded by SS-PIVOT, and dynamically closed at low energy by SS-DYN. Physical logarithmic scale remains the real coordinate u = ln(ℓ/ℓ0), but it is not treated as a fourth ordinary spatial direction. Ordinary observations are calibrated projections of a latent space–scale configuration, and static scale extension does not imply scale current. Each scale leaf carries a four-coordinate clock-reading measurement geometry gμν(x,λ), localized by F0(λ) = sech4[κ(λ − λc)]. The protected massless gravitational channel is one universal tensor zero mode with exactly the two ordinary transverse-traceless polarizations. Nonzero metric-scale modes are gapped massive spin-2 sectors and are not linearly sourced by a purely protected ordinary-matter profile. The earlier generic millimetre tensor-continuum force curve is therefore not a universal prediction. Protected ordinary matter instead couples predominantly to the repaired scalar sector: one isolated Q-like pole plus a gapped scalar continuum. At the working benchmark r = 10−6 and ζX = 1.8115 × 105, SS-DYN gives αQ ≃ 0.320825 and mQ/κ ≃ 340.936. For the illustrative tensor scale λT = 9.9 mm, this corresponds to a scalar-pole range λQ ≃ 58 μm and a scalar-continuum edge near 9.9 μm. The leading point-source correction has Yukawa form, with fractional force correction αQ(1 + R/λQ) exp(−R/λQ). Comparison with inverse-square-law experiments requires each apparatus’s extended-source transfer function rather than a direct comparison of point-particle ranges. For a protected stellar binary, the only linearly sourced tensor radiation is the universal zero mode, so the leading radiative flux is the ordinary two-polarization general-relativistic result. The massive tensor continuum is source-orthogonal, while the isolated Q pole and scalar continuum are kinematically closed at stellar-binary frequencies at the working benchmark. A universal protected scalar charge also has vanishing Newtonian dipole in the centre-of-mass frame. Body-dependent strong-field charge remains an SS-MAT matching question. Rotation–scale phenomenology remains conditional: ordinary parity-even stationary rotation without scale momentum does not source the leading mixed spatial–scale channel, whereas genuine scale momentum or other allowed mixed stress can. SS-PHEN separates universal protected response, protected-source-orthogonal gapped sectors, and SS-MAT matched departures, and specifies how these classes can be confronted with short-range-force, gravitational-wave, compact-body, and rotation-sensitive measurements. No parameter-free exclusion is claimed: absolute scale normalization, the repair parameter, apparatus transfer functions, and nonprotected source profiles remain explicit inputs.

Zenodo (CERN European Organization for Nuclear Research)
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