From Quantum to Cosmos: About Space and Time, Mass and Inertia

Final Version 1.0 Abstract This release contains the Formula Collection (FQTC) and the Quantum Gravity Minimalistic Core paper. It provides a compact and technically consistent set of equations unifying quantum mechanics and general relativity into a covariant framework of quantized gravity. The formulation is based on Planck–covariant averaging and introduces the Zander–Schrödinger mass operator together with the Zander–Einstein tensor equation. Alongside the strict formalism, supplementary heuristic notes and early thought experiments are preserved as part of the research process. These sections are clearly marked as non-final and are intended to inspire further exploration, including as a basis for the upcoming book *From Quantum to Cosmos*. All material is published together under one DOI for archival integrity and open scientific discussion. From Quantum to Cosmos establishes a compact, Planck-covariant bridge between General Relativity and Quantum Field Theory. The formulation requires no new constants, provides a minimal and maximal form of quantum gravity, and remains strictly consistent with established physics. This is not a new speculative model – it is a unification by structural consistency. At its core, the approach introduces a mass operator derived from the Hamiltonian spectrum, the Schrödinger-Zander Equation: H=Hhat i ħ ∂t Ψ = H Ψ = c² m Ψ, with m = H / c² On the gravitational side, the Einstein field equations are extended into an operator form, the Einstein-Zander Equation: Ĝμν Ψ = (8πG / c⁴) T̂μν Ψ Together, these relations establish a minimal and covariant framework in which gravity emerges as a quantum-consistent field theory without introducing extra assumptions or dark-sector parameters. The formula collection is designed as a reference backbone for the larger work From Quantum to Cosmos. While the main publication develops the derivations and conceptual interpretations in detail, the present set provides the clean equations, consistent units, and minimal commentary. Full Tensor and Operator Derivation. Related works: 10.5281/zenodo.16925937 Zander, A. (2025). From Quantum Structure to Galactic Rotation: Eliminating Dark Matter with Planck-Covariant Gravity.10.5281/zenodo.16925299 Zander, A. (2025). From Quantum to Cosmos: ZE-Qubit10.5281/zenodo.16925145 Zander, A. (2025). From Quantum to Cosmos - Schrödinger-Zander and Einstein-Zander Equation10.5281/zenodo.16924975 Zander, A. (2025). From Quantum to Cosmos – No Singularities: Planck-Covariant Averaging as Natural Cutoff10.5281/zenodo.16922391 Zander, A. (2025). From Quantum to Cosmos - Planck Two-Measure: Vacuum Catastrophe Fixed, Muon g-2 Consistent10.5281/zenodo.16921499 Zander, A. (2025). No Dark Energy Needed: The Cosmological Constant Problem solved by lptp= σP = ħ G / c⁴ --> α_σ = σP / (R·t)10.5281/zenodo.15578802 Zander, A. (2025). From Quantum to Cosmos: A Minimal-Covariant Bridge Toward Quantized Gravity10.5281/zenodo.16929728 Zander, A. (2025). From Quantum to Cosmos: The Hawking Information Paradox -- Full Quantum10.5281/zenodo.16929833 Zander, A. (2025). From Quantum to Cosmos: Defusing the Hubble Tension with Planck-Covariant Spacetime Fine-Structure 10.5281/zenodo.16929899 Zander, A. (2025). From Quantum to Cosmos: Planck-Covariant Flavor: Fermion Mass Hierarchies Without New Sectors10.5281/zenodo.16929940 Zander, A. (2025). From Quantum to Cosmos: A Planck-Covariant, Unitary Solution to the Measurement Problem10.5281/zenodo.16910481 Zander, A. (2025). From Quantum to Cosmos: The Hawking Information Paradox Solved (3+1D, No Islands)10.5281/zenodo.16930310 Zander, A. (2025). From Quantum to Cosmos: A Requiem for LCDM - full Scientific + Extra Paper for readers without specialized background10.5281/zenodo.16933270 Zander, A. (2025). From Quantum to Cosmos: Quantum Gravity Contact & SupportAdrian Zander (Independent Researcher)[email protected]: 0009-0005-2388-5440 Support Scientific Continuation:IBAN: DE73 6149 0150 0132 6850 00BIC: GENODES1AAVReference: Zander Research