Community Description

This community collects the published papers and book constituting the Quantum-Geometry Dynamics (QGD) research programme, together with the metatheoretic framework — the Minimally Physically Derivable Theories (MPDT) standard — from which QGD is evaluated and within which it is positioned relative to existing approaches in fundamental physics.

The framework

Quantum-Geometry Dynamics is an axiomatic approach to fundamental physics derived from three minimal axioms. The first posits that space is constituted by fundamental spatial units called preons(−): not points embedded in a pre-existing manifold but the units that are space. There is no space between preons(−) and no spatial medium independent of them. A preon(+) occupies a preon(−); single occupancy is a fundamental constraint. The second posits that matter is constituted by preons(+), each possessing a constant intrinsic momentum. A preon(+) propagates by executing a directed leap at each causal transition: it moves from the preon(−) it currently occupies to the adjacent preon(−) in the direction of its own momentum vector. The direction of the leap is intrinsic to the preon(+) and is not determined by any external field or selection mechanism. The third posits two opposing forces: p-gravity, attractive between preons(+) regardless of the distance separating them; and n-gravity, repulsive between preons(−), whose magnitude increases with separation and becomes dominant beyond a threshold distance d_λ. The net gravitational force between any two objects is therefore attractive at short range — where p-gravity dominates — and repulsive at long range — where n-gravity dominates. It is the repulsive component that is distance-dependent, not the attractive component.

From these three axioms and two constants — the fundamental preonic velocity c̃ and the gravitational coupling k — QGD derives, without additional postulates, the discreteness of space and matter, the conservation of momentum, the quantisation of physical quantities, the three-dimensionality of space, the emergence of mass as a binding effect of p-gravity, the scale hierarchy of physical objects, the arrow of time as causal succession, and the cosmological account of structure formation, accelerated expansion, and the initial isotropy of the universe.

The metatheoretic framework

The MPDT framework establishes four independently motivated conditions that any fundamental physical theory must satisfy to qualify as minimally physically derivable: computationally representable space, a single fundamental indivisible constituent of matter, momentum as a primitive conserved property, and exactly two opposing forces. These conditions are grounded in methodological requirements on what any predictive physical theory must accomplish — not in any specific physical ontology. Because MPDT is a metatheory rather than a physical theory, it evaluates candidate frameworks from the metalanguage level, as Gödel's incompleteness theorems evaluate formal systems without presupposing any particular system's axioms.

The programme applies the MPDT standard systematically to the major current approaches in fundamental physics — the Standard Model, quantum field theory as a framework, loop quantum gravity, string theory, asymptotic safety, and causal set theory — identifying for each the specific conditions it fails, the ad hoc assumptions those failures generate, and whether the failures are structural or contingent. QGD is presented as the existence proof that all four conditions are simultaneously satisfiable, demonstrating that the metatheoretic standard is non-vacuous without advancing QGD's correctness as an empirical claim.

Contents of this community

The community contains the following publications, all carrying Zenodo DOIs and issued under CC BY 4.0:

The QGD book — Quantum-Geometry Dynamics: An Axiomatic Approach to Physics — which develops the full framework from the three axioms, derives the QGD equations for gravity, mass, particle formation, and cosmology, and establishes the empirical grounding programme for connecting QGD's preonic constants to SI units.

The Uniqueness Theorem paper — On the Uniqueness of Minimal Physically Derivable Theories — which establishes that QGD is the unique theory satisfying all four MPDT conditions simultaneously.

Papers applying the QGD framework to specific foundational problems in physics: Bell's theorem and absolute realism; quantum computing and the impossibility of quantum computational speedup; superconductivity; black hole information; physical irreversibility and the arrow of time; the conceptual import of physical time; the physicality of scales and the emergence of the scale hierarchy; the physicality of logic and the refutation of computational complexity gaps as features of physical reality; the three-dimensionality of space; the breakdown of continuum physics; and the cosmological account of the isotropic initial state and the dissolution of the horizon, flatness, and cosmological constant problems.

Papers applying the MPDT framework to the existing literature: the Axiomatic Imperative, establishing the methodological necessity of axiomatic foundations; Axiomatic Localism and the refutation of top-down indeterminism; the systematic evaluation of current research programmes against the MPDT standard; responses to specific positions in the literature on incompleteness and theories of everything; and the derivation of the Bell correlations from preonic first principles.

Mathematical applications: a physical constructivist proof of Fermat's Last Theorem; QGD's account of the prime number distribution; and the relationship between mathematics and physics within the QGD framework.

Stage of the programme

The QGD programme is in active pre-publication development. The papers collected here represent the current state of the theoretical framework and its applications. Several companion calculations are identified as pending — notably the quantitative derivation of P(+1|θ) = cos²(θ/2) from the p-gravity binding structure of the spin-½ preonic aggregate, the derivation of the spectral index n_s from the QGD gravity equation applied to the parallel trajectory binding mechanism, and the quantitative derivation of the Hubble constant discrepancy from preonic field density inhomogeneity. These pending calculations are flagged explicitly in the relevant papers and are not presented as established results.

The programme makes several specific testable predictions that distinguish it from standard physics frameworks: a small systematic deviation from the cosine Bell correlation at long baselines or in cosmological experiments, attributable to n-gravity perturbation of particle momentum during transit; a spectral index n_s slightly below 1 derived from the n-gravity cancellation of p-gravity near d_λ in the parallel trajectory structure formation mechanism; and a systematic difference between early-universe and local measurements of the Hubble constant arising from the inhomogeneity of the preonic field density distribution at late times.

Correspondence and engagement

All publications are authored by Daniel L. Burnstein (ORCID: 0000-0002-7966-4250), independent researcher, Ormstown, Québec, Canada. Contact via the Zenodo author profile. The programme is conducted independently of any institutional affiliation and is supported by no external funding. Engagement from researchers in foundations of physics, philosophy of physics, quantum gravity, and cosmology is welcomed.