Continuous Structural Field Theory: A Local Symmetry-Breaking Framework for Cosmological-Constant Calibration and Sub-Chandrasekhar Mass Corrections

i develop a mathematically explicit phenomenological framework termed Continuous Structural Field Theory (CSFT). The proposal introduces a dimensionless or suitably normalized continuous structural amplitude A_-BY(x), a coupling K_BY, and an asymmetric projection tensor M_asym on a four-dimensional spacetime whose spatial topology is represented by a deformed three-sphere. The central hypothesis is that part of what is conventionally represented by vacuum energy, dark matter, and dark energy may be described by distinct projection sectors of a common structural field. We formulate a metric deformation, a stress-energy decomposition, a projected Schrödinger equation, a redshift-dependent effective cosmological term, and a modified Chandrasekhar scaling relation. Particular attention is given to dimensional consistency: expressions written in geometric or normalized units are explicitly distinguished from their SI-energy-density counterparts. The historical SN 1006 example is treated as a calibration thought experiment rather than as an established empirical determination of CSFT parameters. The commonly used observational fact is that SN 1006 was seen on Earth in 1006 CE; if the source distance is of order 7,000 light-years, the corresponding source-frame emission epoch is several millennia BCE. Thus a 5994 BCE–1006 CE line is interpreted here as a light-cone baseline, not as the date at which an explosion named "SN 1006" was locally observed. The numerical value delta_calibration ≈ 1.187 × 10^-6 is retained as a proposed model calibration target and is not claimed here as an independently measured quantity. Likewise, the 1.388–1.412 M_sun interval is presented as a phenomenological target requiring stellar-structure calculations and observational validation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-06
DOI
https://doi.org/10.5281/zenodo.22549099
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Continuous Structural Field Theory: A Local Symmetry-Breaking Framework for Cosmological-Constant Calibration and Sub-Chandrasekhar Mass Corrections

Youssef Ben aissa
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Continuous Structural Field Theory: A Local Symmetry-Breaking Framework for Cosmological-Constant Calibration and Sub-Chandrasekhar Mass Corrections

Youssef Ben aissa
article en

Abstract

i develop a mathematically explicit phenomenological framework termed Continuous Structural Field Theory (CSFT). The proposal introduces a dimensionless or suitably normalized continuous structural amplitude A_-BY(x), a coupling K_BY, and an asymmetric projection tensor M_asym on a four-dimensional spacetime whose spatial topology is represented by a deformed three-sphere. The central hypothesis is that part of what is conventionally represented by vacuum energy, dark matter, and dark energy may be described by distinct projection sectors of a common structural field. We formulate a metric deformation, a stress-energy decomposition, a projected Schrödinger equation, a redshift-dependent effective cosmological term, and a modified Chandrasekhar scaling relation. Particular attention is given to dimensional consistency: expressions written in geometric or normalized units are explicitly distinguished from their SI-energy-density counterparts. The historical SN 1006 example is treated as a calibration thought experiment rather than as an established empirical determination of CSFT parameters. The commonly used observational fact is that SN 1006 was seen on Earth in 1006 CE; if the source distance is of order 7,000 light-years, the corresponding source-frame emission epoch is several millennia BCE. Thus a 5994 BCE–1006 CE line is interpreted here as a light-cone baseline, not as the date at which an explosion named "SN 1006" was locally observed. The numerical value delta_calibration ≈ 1.187 × 10^-6 is retained as a proposed model calibration target and is not claimed here as an independently measured quantity. Likewise, the 1.388–1.412 M_sun interval is presented as a phenomenological target requiring stellar-structure calculations and observational validation.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 10%
Cosmology and Gravitation Theories
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