Daniel Burnstein

The Constructibility Criterion: A Unified Foundation for Physically Derivable Mathematics and Physically Derivable Theory

This paper establishes the Constructibility Criterion — a single formal requirement operating at a logical level prior to truth, provability, and falsifiability — from which both the foundations of Physically Derivable Set Theory (PDST) and the conditions of the Minimally Physica...

A Reader Guide for the QGD / MPDT Framework: Quantum-Geometry Dynamics and Minimal Physically Derivable Theories

This document serves as the official navigational hub and structural map for the Quantum-Geometry Dynamics (QGD) and Minimally Physically Derivable Theories (MPDT) programme. Developed between 2010 and 2026, the complete framework consists of fitty-two papers and one foundational...

Discrete Space as the Resolution of Algorithmic Incompleteness in Physics: A Quantum-Geometry Dynamics Perspective on the Limits of Axiomatic Theories of Everything

This paper responds to Faizal, Krauss, Shabir, and Marino (arXiv:2507.22950), who argue that any axiomatic Theory of Everything formulated as a computational formal system is subject to Gödel incompleteness, Tarski undefinability, and Chaitin information-theoretic bounds, and tha...

The Physicality of Complexity: A Structural-Differentiation Criterion for Generator/Selector Decoupling

The Physicality of Scales (P6) derives QGD's object hierarchy from a behavioral criterion silent, by design, on internal organization; Behaviorally Free, Ontologically Determined (P50) needs exactly the distinction P6 does not draw, grounding epistemic free will in a Generator/Se...

The Physicality of Complexity: A Structural-Differentiation Criterion for Generator/Selector Decoupling

The Physicality of Scales (P6) derives QGD's object hierarchy from a behavioral criterion silent, by design, on internal organization; Behaviorally Free, Ontologically Determined (P50) needs exactly the distinction P6 does not draw, grounding epistemic free will in a Generator/Se...

Preonic First Principles and the Bell Correlations: Deriving E(a,b) = −cos(θ_ab) from the Symmetry Constraints on Spin-½ Preonic Aggregates

Bell-type experiments are the most precisely tested quantum mechanical predictions and the most frequently cited evidence for non-locality in physics. This paper derives the quantum mechanical correlation function E(a,b) = −cos(θ_ab) for spin-½ particle pairs in the singlet state...

Dissolving the Mentaculus: How Quantum-Geometry Dynamics Accounts for Time's Arrows Without a Statistical Postulate

Albert and Loewer’s Mentaculus is an ambitious unification project that aims to account for the reversibility problem, the thermodynamic arrow of time, the epistemic arrow, the influence and causal/counterfactual arrows, the applicability of statistical reasoning to macroscopic r...

QGD / MPDT and General Relativity: The Aberration Problem, Compared

Newton's instantaneous gravity was abandoned because it appeared incompatible with a finite speed limit and with the empirical fact that orbits do not destabilize under aberration. General relativity resolves this through velocity-dependent terms, forced by general covariance, th...

The Conservation at the Boundary Theorem: How the Finite Edge of Preonic Space Completes the Causal Lifecycle of the Universe

In Quantum-Geometry Dynamics (QGD), space is constituted by a finite discrete lattice of preons(−) — the fundamental spatial units that are space itself. The lattice has a definite finite extent: it ends at the last preon(−). When a preon(+) executing a directed leap reaches a bo...

Indistinguishable in Principle, Distinguishable in Practice: Einstein's Equivalence Principle Reassessed, and the Predictions of Relativity Recovered from Quantum-Geometry Dynamics

General relativity rests on the foundational assertion of the equivalence principle: that gravitational and non-gravitational acceleration are locally indistinguishable. This paper demonstrates, from the first principles of Quantum-Geometry Dynamics (QGD), that this indistinguish...

Indistinguishable in Principle, Distinguishable in Practice: Einstein's Equivalence Principle Reassessed, and the Predictions of Relativity Recovered from Quantum-Geometry Dynamics

General relativity rests on the foundational assertion of the equivalence principle: that gravitational and non-gravitational acceleration are locally indistinguishable. This paper demonstrates, from the first principles of Quantum-Geometry Dynamics (QGD), that this indistinguish...

Behaviorally Free, Ontologically Determined: Consciousness and Decision as Self-Directed Modelling Residual in Quantum-Geometry Dynamics

Quantum-Geometry Dynamics (QGD) admits no exception to bottom-up determinism: Axiomatic Localism establishes that every causal succession is exhaustively fixed by local preonic configuration. There is no causal slack and no abstract causal layer through which mental states, inten...

Particle Colliders and the Search for Fundamental Constituents: What QGD Implies for High-Energy Physics

Particle colliders are justified in part by the assumption that high-energy collisions reproduce the conditions of the early universe shortly after the Big Bang, thereby granting experimental access to the fundamental constituents of matter. This paper examines that justification...

The Physicality of Scales: An Emergent Hierarchy from Minimal Axioms in Quantum-Geometry Dynamics

This paper proposes physically grounded definitions of object and scale within the framework of Quantum-Geometry Dynamics (QGD) and the Minimal Physically Derivable Theories (MPDT) programme established by the Uniqueness Theorem. Both definitions have been absent from the existin...

QGD / MPDT and Poincaré–Weyl Predicativism: Independent Convergence, and Why Physical Grounding Reaches Further

Physical constructivism — the position that a mathematical object exists only when a physical process has completed its construction, that notation for a never-terminating process is a prescription rather than a name, and that the set of existing numbers is bounded by the physica...

A Reader Guide for the QGD / MPDT Framework: Quantum-Geometry Dynamics and Minimal Physically Derivable Theories

This document serves as the official navigational hub and structural map for the Quantum-Geometry Dynamics (QGD) and Minimally Physically Derivable Theories (MPDT) programme. Developed between 2010 and 2026, the complete framework consists of fitty-one papers and one foundational...

QGD / MPDT and General Relativity: The Aberration Problem, Compared

Newton's instantaneous gravity was abandoned because it appeared incompatible with a finite speed limit and with the empirical fact that orbits do not destabilize under aberration. General relativity resolves this through velocity-dependent terms, forced by general covariance, th...

The Conceptual Import of Physical Time: Insulation Failure and the Deepest Non-Minimal Assumption in Physics

Every major framework in physics imports physical time as a pre-theoretical assumption. This import is more consequential than the well-recognised import of the mathematical continuum, because it precedes and enables it: if time flows continuously, the mathematics describing phys...

The Gravitational SETI Channel; Why Electromagnetic Observation Cannot Detect Cosmological Civilisations, and What Can

The Search for Extraterrestrial Intelligence (SETI) has operated for decades on the assumption that electromagnetic signals are the natural medium for interstellar and intergalactic communication. This paper argues, from the axiomatic structure of Quantum-Geometry Dynamics (QGD),...

The Physicality of Scales: An Emergent Hierarchy from Minimal Axioms in Quantum-Geometry Dynamics

This paper proposes physically grounded definitions of object and scale within the framework of Quantum-Geometry Dynamics (QGD) and the Minimal Physically Derivable Theories (MPDT) programme established by the Uniqueness Theorem. Both definitions have been absent from the existin...