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2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.20137134 |
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- <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"> </p> <h3 class="text-text-100 mt-3 -mb-1 text-[1.125rem] font-bold"> </h3> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><strong>A monograph in sixteen articles by Boris Kriger (2026)</strong></p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This monograph presents <strong>ICAST</strong> — <em>Imaginary Component Attribution Swaps Theory</em> — a foundational programme in physics built on a single mathematical structure: an antilinear involution σ on a Hilbert space, generalised to a structural operation on the metric attribution of physical configurations. Sixteen articles develop the structure cumulatively, apply it systematically across the foundational domains of physics, and demonstrate convergence with the quantitative results of the αLGQV (Local Gravitation of Quantum Vacuum) programme.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">The mathematical core</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The structural primitive is an antilinear involution σ on a Hilbert space, satisfying σ² = and σ(αψ) = ᾱσ(ψ). Antilinearity is essential: it makes σ a <em>swap</em> of real and imaginary components of attribution, not a unitary rotation. Conjugate observables — position and momentum, mass and energy, electric and magnetic field, matter and antimatter, our metric and the swapped metric — are pairs of attributions connected by σ. Where standard physics treats real and imaginary as a mathematical convenience, ICAST treats them as a structural duality: both components are physically real, each in its own attribution.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Applications across foundational physics</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The σ-operation is realised across sixteen articles as: measurement (σ-fixation event); mass-energy swap-attribution of the 4-momentum; energy as σ-invariant, entropy as σ-monotone; charge as local σ-fixation; Heaviside duality as σ-action on the EM 2-form (with magnetic monopoles structurally excluded); electron capture as σ₂-merger; β-decay, neutrino oscillations, W/Z, Higgs, and electroweak unification as σ-metric phenomena; CPT-exactness at the 10⁻¹⁸ level as the empirical signature of the complete σ-structural swap covering both Heegaard hemispheres simultaneously.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">Article 11 establishes that σ-fixation is structurally necessary: coherence and persistence constraints make σ-fixation required for the existence of σ-coherent configurations. Article 12 installs the Quark-Gluon-Vacuum Plasma (QGVP) as ontological substrate: matter and vacuum are not separately real; both are markings of one substance. Articles 13–14 extend the framework to nucleosynthesis (the chiral condensate as σ-metric mediator from BBN through the r-process) and to the full hadronic sector (DIS, spectroscopy, nuclear structure, the Δ-resonance, the QCD phase diagram, with the spin crisis dissolved structurally).</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">The gravitational reformulation</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">Article 15 reformulates gravity: it is not a fundamental interaction. Factual gravity in our metric requires confinement-induced coordinate fixation of vacuum quanta, manifesting as the spatial structure of vacuum perturbation by visible matter. Imaginary gravity is intrinsic to unperturbed vacuum and is factual in the swapped Heegaard hemisphere. The cosmological constant Λ₀ is the projection of imaginary gravity into our metric. Dark matter is locally perturbed vacuum; dark energy is unperturbed vacuum. The cosmological constant problem, the dark sector, the singularity problem, and the equivalence principle are unified through one Heegaard-symmetric ontology.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Convergence with αLGQV</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">ICAST is the ontological foundation; αLGQV is the quantitative companion. αLGQV derives α ≈ 0.005 from QCD sigma terms with no free parameters; reproduces 175 SPARC galactic rotation curves through vacuum capture without dark-matter particles; identifies the Kriger limit ρ_cd ≈ 5ρ₀ as the structural barrier to gravitational collapse, replacing singularities with vacuum-cored compact objects; derives Λ₀ from measured QCD quantities; reads the CMB as latent heat of vacuum birth with η_B = α⁴. ICAST gives these quantitative results their structural meaning; αLGQV gives ICAST its empirical anchoring. The two programmes are independent in derivation and complementary in joint reading.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Reception</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The αLGQV programme has been engaged in documented correspondence with leading specialists: Stanley Brodsky (Stanford/SLAC), Alexandre Deur (JLab), Craig Roberts (Nanjing), Robert Shrock (Stony Brook), Thomas Cohen (Maryland), Mikhail Shifman (Minnesota), George Ellis (Cape Town), Joan Solà Peracaula (Barcelona), Frans Klinkhamer (Karlsruhe), Salvatore Capozziello (Naples), Andreas Burkert (Munich), Ahmed Ali (<em>Physica Scripta</em> editorial board), Ariel Zhitnitsky (UBC), and others. Across more than thirty substantive exchanges, no derivational error was identified; no hidden free parameter was identified. Full record: <a class="underline underline underline-offset-2 decoration-1 decoration-current/40 hover:decoration-current focus:decoration-current" href="https://interdisciplinary-research.institute/reception/">https://interdisciplinary-research.institute/reception/</a></p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Falsifiable predictions</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">ICAST makes four central structurally-discriminating falsifiable predictions: (P1) no free coloured object exists as an asymptotic state; (P2) no magnetic monopole exists as a stable particle; (P3) no fundamental dark-matter particle exists; (P4) CPT is exact and the speed of gravitational waves equals c at all measurable precision. Discovery of any of (P1)–(P3), or significant violation of (P4), falsifies the programme.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Technical details</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">780 pages. Sixteen articles plus front matter (synopsis, contents, preface). Each article is structurally self-contained with formal propositions, counter-arguments, empirical contact, limitations, and references. The monograph is intended for foundations of physics, theoretical physics, philosophy of physics, and cosmology. Suitable for sequential reading, pivot-first reading (Articles 1, 11, 12, 15, 16), or referential consultation.</p> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Related work</h4> <ul class="[li_&]:mb-0 [li_&]:mt-1 [li_&]:gap-1 [&:not(:last-child)_ul]:pb-1 [&:not(:last-child)_ol]:pb-1 list-disc flex flex-col gap-1 pl-8 mb-3"> <li class="font-claude-response-body whitespace-normal break-words pl-2">αLGQV Volume I: <em>A Dark-Sector-Free Cosmology</em> (DOI: 10.5281/zenodo.19027460)</li> <li class="font-claude-response-body whitespace-normal break-words pl-2">αLGQV Volume II: <em>The Consistent Universe</em> (DOI: 10.13140/RG.2.2.29913.28002)</li> <li class="font-claude-response-body whitespace-normal break-words pl-2">IIIR corpus: <em>Orders of Orthogonality</em> (DOI: 10.5281/zenodo.20100022); <em>Volumetric Duality</em> (DOI: 10.5281/zenodo.20100782); <em>Topological Duality</em> (DOI: 10.5281/zenodo.20100879); <em>Operational Synthesis</em> (DOI: 10.5281/zenodo.20102399)</li> </ul> <h4 class="text-text-100 mt-2 -mb-1 text-base font-bold">Keywords</h4> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">σ-programme; ICAST; antilinear involution; complex algebra; attribution swap; metric attribution; Heegaard symmetry; QGVP; quark-gluon-vacuum plasma; chiral condensate; relational realism; structural realism; foundations of physics; quantum mechanics; special relativity; thermodynamics; electromagnetism; weak sector; CP/CPT; nucleosynthesis; hadronic sector; gravity; dark matter; dark energy; cosmological constant; αLGQV; Boris Kriger.</p>