The ZOT-Wheeler-DeWitt Equation- A Reformulation with Integrations in Majorana Dark Matter
Abstract
The Zero Operator Theory (ZOT) v1.3.5 presents a minimalist framework reformulating the primordial degeneracy 0/0 as a quantum operator Z^≡0^\hat{\mathcal{Z}} \equiv \hat{0}\hat{\mathcal{Z}} \equiv \hat{0}, bridging quantum mechanics and cosmological origins. This manuscript introduces the ZOT-Wheeler-DeWitt (ZWD) equation as Axiom Z10 — ZOT-Einstein Bridge, derived within the ADM formalism. It incorporates a sub-Planckian time constant ZT≈1.08×10−46Z_T \approx 1.08 \times 10^{-46}Z_T \approx 1.08 \times 10^{-46} s, triggering a primordial phase transition via the activation function tanh(τ/ZT)\tanh(\tau / Z_T)\tanh(\tau / Z_T). This mechanism resolves the "Problem of Time" in quantum gravity by enabling rapid entropic vacuum density saturation, linking primordial fluctuations to late cosmic acceleration without fine-tuning.Integrated with Axiom Z5 for Popperian falsifiability, the theory extends to reformulate the eZotic particle as an emergent Majorana fermion with mass ∼20\sim 20\sim 20 GeV, scaling inversely with multiparticle complexity (N−αN^{-\alpha}N^{-\alpha}, α≈1.5\alpha \approx 1.5\alpha \approx 1.5), tied to the tensor attractor A^ij\hat{A}^{ij}\hat{A}^{ij} and regulated vacuum. Aligned with the Spinorial Genesis Mechanism (ZOT-Riemann, 2026), it addresses cosmological tensions like S8S_8S_8 (σ8≈0.789±0.012\sigma_8 \approx 0.789 \pm 0.012\sigma_8 \approx 0.789 \pm 0.012 from DES Y6 data, 2025-2026) and the quantum vacuum catastrophe through entropic fossil residues, eschewing multiverses.Validations include QuTiP/JAX simulations demonstrating entropic saturation (activation from 0 to ≈0.999\approx 0.999\approx 0.999) and chaos protection (memory gains ∼127%\sim 127\%\sim 127\%), alongside external references to quantum gravity and Majorana dark matter. The document invites peer participation or refutation, emphasizing testable predictions in cosmology, colliders, and 21 cm probes for emergent Majorana DM imprints.The previous version (v1.2.6, Zenodo DOI: 10.5281/zenodo.18226173) remains as a historical reference.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 February 2026
- Language
- EN