Quantum Gravity Framework 3: Relative Time Formulation and Simple Applications to derive conventional Hamiltonians. Suresh Maran www.sureshmaran.com www.qstaf.com www.uniteserve.com www.linkedin.com/in/sureshmaran June 24, 2021 Abstract In this paper we discuss quantum gravity framework 3.0, where we discuss relative time formulations. Applications of relative time formulations are discussed. The conventional Hamiltonian of bulk matter is derived from quantum gravity Hamiltonian. The derivation of Hamiltonians in the contexts of elds is briey discussed. Contents Contents 1 1 Introduction 2 2 Quantum Gravity Framework 3.0 3 2.1 Single point system .......................................... 3 2.1.1 Self-time Constraint and a Naive Path Integral ...................... 3 2.1.2 Relative Quantum Evolution in Conguration Space ................... 4 2.1.3 Self-time evolution of a single point system ........................ 5 2.1.4 Relative Decoherence .................................... 6 2.2 General 4D Curved Space Time ................................... 6 2.2.1 Relative-Time Evolution ................................... 7 2.2.2 Relative-Time Decoherence ................................. 8 2.2.3 Global Quantum Reduction ................................. 8 2.2.4 Determinism, Continuum Limit and Scale invariance ................... 9 2.2.5 Rest frame Evolution .................................... 9 3 Derivation of Non-Relativistic Hamiltonians 11 3.1 Conventional Quantum Evolution in (3+1)D ........................... 11 3.2 Bulk Matter .............................................. 12 3.3 Field Theory Dynamics ....................................... 18 3.4 Problem Solving Method: Overview ................................ 19 4 Conclusion 20 Appendices 20 A Non Relativistic Quantum Mechanics 20 1