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June 26, 20260 citationsOpen Access

P2: DISSOLVING THE COSMOLOGICAL CONSTANT PROBLEM: The Spaticle Substrate, One Quantum Field, and the Category Error of QFT Vacuum Energy

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VSV. K. Sharma

Key Points

  • This research aims to resolve the cosmological constant problem by correcting errors in quantum field theory calculations.
  • Identified two category errors in standard QFT: multiplicity and attribution.
  • Introduced the Spaticle field as a single substrate for all quantum phenomena.
  • Calculated vacuum energy density based on the intrinsic equilibrium density of the Spaticle substrate.
  • Demonstrated that the corrected vacuum energy density equals 5.30 x 10^-10 J/m3, resolving the 10^121 discrepancy.
  • Established that the observed cosmological constant value aligns with the Spaticle field density.
  • Showed that matter is a condensed phase of the Spaticle substrate rather than a separate entity.

Abstract

The cosmological constant problem is described as the largest quantitative discrepancy in the history of physics: quantum field theory predicts a vacuum energy density of order 10¹11 J/m3 while the observed value is of order 10^-10 J/m3, a discrepancy of 10¹21. This paper demonstrates that the discrepancy is not a crisis of nature. It is the compounded result of two specific category errors in the standard QFT calculation, errors that disappear once the physical substrate of space is correctly identified. The first error is multiplicity. Standard QFT assigns independent zero-point energy to each of seventeen or more independent quantum fields, one per particle species. The Big Flare-Up Theory (BFUT) has one field: the Spaticle field. All particles, all force carriers, and all quantum phenomena are organised excitations of that one substrate. Summing over seventeen fields where there is one inflates the vacuum energy calculation by the field count before any other consideration. The second error is attribution. Standard QFT assigns ground-state energy hw/2 to every field mode regardless of whether that mode contains a physical excitation -- an organised, stable condensation. In BFUT, zero-point energy is the minimum internal circulation energy of an actual condensation oscillating at frequency w. An empty mode -- one containing no condensation -- has no internal circulation and therefore no ground-state energy. The calculation attributes real energy to vast numbers of phantom condensations that do not exist. Correcting both errors: one field, zero-point energy only for occupied modes. The vacuum is the Spaticle substrate at its intrinsic equilibrium density rhoₛ = 5. 9 x 10^-27 kg/m3, containing no condensations. Its energy density is rhoₛ * c2 = 5. 30 x 10^-10 J/m3. The 10¹21 discrepancy dissolves -- not by cancellation, not by tuning, not by anthropic selection, but because the calculation was not computing the physical vacuum energy of the universe at all. A central result of this paper concerns the relation between the Spaticle field density and the cosmological constant Lambda. The Spaticle field has an intrinsic equilibrium density rhoₛ constrained independently from W and Z boson masses, 175 SPARC galaxy rotation curves, KiDS-1000 weak gravitational lensing, and GW170817 post-merger relaxation across six independent physical sectors. The observed value of Lambda is consistent with rhoₛ, reflecting that both describe the same physical reality -- but rhoₛ is not derived from Lambda. Lambda is what it is because of rhoₛ, not the other way around. The paper also establishes the correct dissolution of the coincidence problem: matter and the Spaticle substrate are not ontologically unrelated quantities whose comparable magnitudes require explanation. Matter is the condensed phase of the substrate. Their broad magnitude comparability is structurally expected.

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Cite This Study

V. K. Sharma (2026) studied this question.

synapsesocial.com/papers/6a3e193b030ad1a9b30920bahttps://doi.org/10.5281/zenodo.20836463
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