Scalar Mass as an Interface Quantity: A Structural Resolution of the Higgs Hierarchy Problem
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| Lingua: | inglese |
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2025
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| _version_ | 1866901126042877952 |
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| author | Labhard, Michael |
| author_facet | Labhard, Michael |
| contents | <p><em>This paper is archived as a speculative research work.</em></p> <p>The Higgs hierarchy problem is conventionally formulated as the ultraviolet instability of a scalar<br>mass parameter within spacetime quantum field theory. In this work we argue that this formulation<br>reflects a structural assumption rather than a dynamical failure. When scalar mass is treated as<br>a fundamental parameter of an effective spacetime description, quadratic sensitivity to ultraviolet<br>scales is unavoidable. By contrast, in the Entanglement–Algebraic Spacetime (EAS) framework,<br>mass is not fundamental but arises as an interface-level representation of a pre-geometric persistence<br>invariant required by admissibility and normalization constraints.<br>We develop this interpretation within a pre-geometric setting in which spacetime and quantum<br>field theory emerge as effective interfaces describing coarse-grained relational structure. A scalar<br>susceptibility is introduced to characterize how the interface reorganizes its encoding of persistence<br>under admissibility-preserving coarse-graining. Threshold behavior in this susceptibility can generate large separations between interface scales without fine tuning or ultraviolet cancellations.<br>Within this framework, the Higgs field is identified as the interface operator that mediates the<br>scalar representation of persistence in the electroweak regime. Electroweak symmetry breaking<br>corresponds to a reorganization of the interface description rather than a modification of underlying<br>pre-geometric structure. The Higgs hierarchy problem is thereby resolved in a precise structural<br>sense, while preserving the empirical validity of spacetime quantum field theory as an effective<br>description.<br>This work does not provide a numerical prediction for the Higgs mass, but establishes a framework<br>in which scalar mass becomes, in principle, computable from pre-geometric data. The results clarify<br>the conceptual origin of the hierarchy problem and demonstrate how it is eliminated once mass is<br>correctly understood as an interface quantity.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18009568 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Scalar Mass as an Interface Quantity: A Structural Resolution of the Higgs Hierarchy Problem Labhard, Michael Higgs hierarchy problem naturalness problem scalar mass effective field theory quantum field theory foundations emergent spacetime pre-geometric physics interface description Entanglement–Algebraic Spacetime persistence invariant admissibility-preserving coarse-graining pre-geometric invariants structural resolution renormalization interface operators electroweak symmetry breaking <p><em>This paper is archived as a speculative research work.</em></p> <p>The Higgs hierarchy problem is conventionally formulated as the ultraviolet instability of a scalar<br>mass parameter within spacetime quantum field theory. In this work we argue that this formulation<br>reflects a structural assumption rather than a dynamical failure. When scalar mass is treated as<br>a fundamental parameter of an effective spacetime description, quadratic sensitivity to ultraviolet<br>scales is unavoidable. By contrast, in the Entanglement–Algebraic Spacetime (EAS) framework,<br>mass is not fundamental but arises as an interface-level representation of a pre-geometric persistence<br>invariant required by admissibility and normalization constraints.<br>We develop this interpretation within a pre-geometric setting in which spacetime and quantum<br>field theory emerge as effective interfaces describing coarse-grained relational structure. A scalar<br>susceptibility is introduced to characterize how the interface reorganizes its encoding of persistence<br>under admissibility-preserving coarse-graining. Threshold behavior in this susceptibility can generate large separations between interface scales without fine tuning or ultraviolet cancellations.<br>Within this framework, the Higgs field is identified as the interface operator that mediates the<br>scalar representation of persistence in the electroweak regime. Electroweak symmetry breaking<br>corresponds to a reorganization of the interface description rather than a modification of underlying<br>pre-geometric structure. The Higgs hierarchy problem is thereby resolved in a precise structural<br>sense, while preserving the empirical validity of spacetime quantum field theory as an effective<br>description.<br>This work does not provide a numerical prediction for the Higgs mass, but establishes a framework<br>in which scalar mass becomes, in principle, computable from pre-geometric data. The results clarify<br>the conceptual origin of the hierarchy problem and demonstrate how it is eliminated once mass is<br>correctly understood as an interface quantity.</p> |
| title | Scalar Mass as an Interface Quantity: A Structural Resolution of the Higgs Hierarchy Problem |
| topic | Higgs hierarchy problem naturalness problem scalar mass effective field theory quantum field theory foundations emergent spacetime pre-geometric physics interface description Entanglement–Algebraic Spacetime persistence invariant admissibility-preserving coarse-graining pre-geometric invariants structural resolution renormalization interface operators electroweak symmetry breaking |
| url | https://doi.org/10.5281/zenodo.18009568 |