Zero Operator Theory - A Teoria da Origem ZOT - Kilonova r-Process, Dez Constantes Universais, Biogênese. v1.5.3

Zero Operator Theory (ZOT) v1.5.3 — A Theory of Origin: Kilonova r-Process, Ten Universal Constants, and Biogenesis

The Zero Operator Theory (ZOT) proposes a fundamental reinterpretation of the mathematical indeterminacy 0/0 in the context of quantum vacuum fluctuations.

The indeterminate fraction is treated as the asymptotic ratio between the compressive fluctuation operator Ĉ, inherent to the Compressed Emergent Vacuum (VCE), and the emergent quantum state operator Ê.

Their simultaneous collapse defines a finite, measurable fundamental quantum operator ˆZ. In this data-driven update, we demonstrate that from only two native parameters of the VCE (C_ZOT = 518500.0 and γ = 0.383), there emerges the universal invariant N(ρ) = C_ZOT / ρ^γ governing information flow in extreme density regimes.

This single invariant, without any ad-hoc adjustments, resolves multiple long-standing open problems: solar core stability, Borexino CNO flux discrepancies, primordial and solar 7Li depletion, Kilonova r-process, total suppression of baryonic accretion onto solar dark matter and primordial black holes (PBHs), the no-hair theorem, the black hole information paradox, and retention of ultra-high-energy cosmic rays (UHECRs) in cosmic voids.

Remarkably, the VCE dynamics yield, as pure emergent outputs, ten fundamental physical constants (“10 Internal Consistency Invariants”), including the fine-structure constant α, the relation E = mc² (via entropic surface tension, Axiom Z6.1), vacuum permeability and permittivity, free-space impedance, Rydberg constant, and others. The same tensorial quenching mechanism and resonant Locksmith function also provide a unified natural origin for r-process nucleosynthesis in kilonovae, explaining the production of heavy metals (gold, platinum, actinides) without additional free parameters. All key quantities — including the topological derivation of the critical geometric threshold c_top ≈ 0.13158695 from Hilbert space normalization (D = 100), the sub-Planckian time scale Z_T, the effective solar cycle Peff = 6.90 yr, and the tensor-to-scalar ratio r_ZOT = 0.00276 — emerge directly from the primordial tensorial structure ˆZ = Ĉ ⊗ Ê. ZOT constitutes a non-perturbative vacuum field theory that is rigorously falsifiable and highly predictive, with direct implications for JWST, Borexino, LIGO/Virgo, IceCube, and future missions (CMB-S4, LiteBIRD, PLATO).This work invites the scientific community to empirical validation or formal refutation.
This submission is currently in Portuguese. The next version will be entirely in English.