Daniel Burnstein

Antimatter and Annihilation in Quantum-Geometry Dynamics

This paper derives the QGD account of antimatter and particle-antiparticle annihilation from first principles, without introducing new ontological categories or force laws. Within Quantum-Geometry Dynamics (QGD), a particle and its antiparticle are preon(+) aggregates of equal ma...

The Physical Impossibility of Quantum Computational Speedup

The Physical Impossibility of Quantum Computational Speedup: Two Independent Arguments from Quantum-Geometry Dynamics Quantum computing promises computational advantages that are, in the most celebrated cases, exponential. Shor's algorithm factors integers exponentially faster th...

Beyond Gauge: QGD as the Foundational Account from Which Gauge Theory Emerges

Gauge theory is the most successful framework in the history of physics. Its predictive precision — the anomalous magnetic moment of the electron to ten significant figures, the prediction of the W and Z bosons, the asymptotic freedom of QCD — is unmatched. The gauge programme is...

Beyond Gauge: QGD as the Foundational Account from Which Gauge Theory Emerges

Gauge theory is the most successful framework in the history of physics. Its predictive precision — the anomalous magnetic moment of the electron to ten significant figures, the prediction of the W and Z bosons, the asymptotic freedom of QCD — is unmatched. The gauge programme is...

Mathematics as a Subset of Physics: Physical Constructivism and the Reasonable Effectiveness of Mathematics in Quantum-Geometry Dynamics

Mathematics as a Subset of Physics: Physical Constructivism and the Reasonable Effectiveness of Mathematics in Quantum-Geometry Dynamics In 1960, Eugene Wigner described the applicability of mathematics to the natural sciences as "unreasonable effectiveness" — a puzzle that has r...

The Unrealizable Prescription: Physically Derivable Set Theory as the Replacement for ZFC

Zermelo-Fraenkel set theory with the axiom of choice (ZFC) is the axiomatic foundation of virtually all modern mathematics. This paper argues that ZFC is refuted by the physical construction criterion: a mathematical object exists if and only if it is constructed by a finite phys...

Mathematics as a Subset of Physics: Physical Constructivism and the Reasonable Effectiveness of Mathematics in Quantum-Geometry Dynamics

Mathematics as a Subset of Physics: Physical Constructivism and the Reasonable Effectiveness of Mathematics in Quantum-Geometry Dynamics In 1960, Eugene Wigner described the applicability of mathematics to the natural sciences as "unreasonable effectiveness" — a puzzle that has r...

The Unrealizable Prescription: Physically Derivable Set Theory as the Replacement for ZFC

Zermelo-Fraenkel set theory with the axiom of choice (ZFC) is the axiomatic foundation of virtually all modern mathematics. This paper argues that ZFC is refuted by the physical construction criterion: a mathematical object exists if and only if it is constructed by a finite phys...

The Loophole That Cannot Close: Why No Bell Test Can Exclude Quantum-Geometry Dynamics

Bell's theorem excludes theories that are both local and realist. Loophole-free Bell tests close the experimental gap by ensuring the two measurement events are spacelike separated — a light-cone constraint that rules out any subluminal influence connecting them. This paper argue...

The Loophole That Cannot Close: Why No Bell Test Can Exclude Quantum-Geometry Dynamics

Bell's theorem excludes theories that are both local and realist. Loophole-free Bell tests close the experimental gap by ensuring the two measurement events are spacelike separated — a light-cone constraint that rules out any subluminal influence connecting them. This paper argue...

Bell's Theorem, Absolute Realism, and the Instantaneous Gravitational Field: A Quantum-Geometry Dynamics Account of the Bell Correlations

Bell's theorem proves that no theory satisfying both locality — in the Einstein-Podolsky-Rosen sense that no influence propagates faster than light — and realism — in the sense that particles possess definite pre-existing states — can reproduce the correlations predicted by quant...

The Wave Model of Light as a Continuum Artefact: Corpuscular Dissolution and Downstream Consequences Across Physics

Wave-particle duality is not a discovery about the nature of light. It is a confession about the limits of the continuum. Because the mathematical framework that dominated physics from the seventeenth century through the twentieth presupposes that space is a continuous manifold,...

QGD / MPDT and Loop Quantum Gravity: Achievements, Structural Challenges, and a Minimal Axiomatic Alternative

Loop Quantum Gravity (LQG) represents the most sustained and mathematically sophisticated attempt to quantise geometry without a background spacetime. Its central achievements are genuine: area and volume quantisation, background independence, and the partial dissolution of the u...

QGD / MPDT and Loop Quantum Gravity: Achievements, Structural Challenges, and a Minimal Axiomatic Alternative

Loop Quantum Gravity (LQG) represents the most sustained and mathematically sophisticated attempt to quantise geometry without a background spacetime. Its central achievements are genuine: area and volume quantisation, background independence, and the partial dissolution of the u...

Fundamental Physics Under the Metatheoretic Standard: A Systematic Evaluation of Current Research Programmes Against the Conditions for Minimally Physically Derivable Theories

The Minimally Physically Derivable Theories (MPDT) metatheory establishes four independently motivated conditions that any fundamental physical theory must satisfy: computationally representable space, a single fundamental indivisible constituent of matter, momentum as a primitiv...

Continuous Mathematics as Finite Prescriptions: The Role and Limits of Calculus in a Discrete Physical Framework

This version extends the previously published record with two new results; the original thesis and structure are unchanged. The paper establishes that every continuous function appearing in a QGD derivation — integrals, derivatives, transcendental functions — is a finite prescrip...

Continuous Mathematics as Finite Prescriptions: The Role and Limits of Calculus in a Discrete Physical Framework

This version extends the previously published record with two new results; the original thesis and structure are unchanged. The paper establishes that every continuous function appearing in a QGD derivation — integrals, derivatives, transcendental functions — is a finite prescrip...

The Breakdown of Continuum Physics as Evidence for Discrete Space: Infinities, Singularities, and Explanatory Failure as Convergent Diagnosis

The history of continuum physics is a history of breakdown at boundaries. Ultraviolet divergences, renormalisation, the self-energy infinity of the point charge, the Banach–Tarski paradox, the Schwarzschild and big bang singularities, the measurement problem, the problem of time...

Navier–Stokes Existence and Smoothness as a Pre-Formally Void Problem: A Constructibility-Criterion Dissolution

The Navier–Stokes existence and smoothness problem asks whether smooth solutions to the three-dimensional incompressible Navier–Stokes equations exist globally in time for all smooth initial data, or whether finite-time singularities can form. This note argues that the classical...

Axiomatic Exhaustiveness: Laplace's Demon and the Metaphysics of Law in Quantum-Geometry Dynamics

Laplace's demon articulates causal determinism as the joint sufficiency of a complete particle state and the governing physical laws for fixing the entire future (and past) of a system. This picture treats state and law as two independent ontological ingredients: the demon must p...