Papers

This page lists the published and in-progress papers associated with the Constraint-Surface Dynamics (CSD) research programme.

For clarity and citation integrity, Zenodo is used as the canonical archive for each paper.

Other platforms are used for open discussion and discovery.

See alternative reading entry points in the shaded box.

Paper A: Volume-Based Probability: Outcome Frequencies from Deterministic Geometry

A geometric account of outcome frequencies compatible with the Born rule.

What this paper achieves

  • Defines outcome regions geometrically rather than probabilistically.

  • Shows how relative frequencies arise from volume ratios under deterministic dynamics.

  • Demonstrates compatibility with Born-rule statistics without introducing randomness or collapse.

  • Clarifies the role of typicality in quantum probability.

Paper B: Fixing the Measure: Symmetry and the Geometric Origin of the Born Rule

Extending volume-based probability within a constrained geometric framework.

What this paper achieves

  • Generalises the volume-based probability construction beyond minimal toy settings.

  • Identifies the geometric conditions under which probability assignments remain consistent.

  • Clarifies limitations and non-uniqueness in outcome partitioning.

  • Places probability within a constrained-geometry framework rather than as an axiom.

Paper C: A Deterministic Reconstruction of Finite-Dimensional Quantum Mechanics

Recovering operational quantum mechanics without Hilbert-space primacy.

What this paper achieves

  • Reconstructs key operational elements of finite-dimensional quantum mechanics from geometric structure.

  • Accounts for interference and contextuality without invoking wavefunction ontology.

  • Defines measurement outcomes through apparatus-induced geometric partitions.

  • Demonstrates how standard quantum statistics are recovered at the operational level.

Paper D: An Ontological Completion of Geometric Quantum Mechanics

A unifying geometric framework for quantum systems and measurement.

What this paper achieves

  • Synthesises the CSD framework into a single, coherent conceptual structure.

  • Clarifies assumptions, scope, and relationship to geometric quantum mechanics.

  • Separates established results from open problems and future extensions.

  • Provides a roadmap for extending the framework to multi-system and field-theoretic contexts.

How to cite

Please cite the Zenodo DOI for any paper listed here.

Other platforms host discussion or discovery copies only.

Each paper PDF also contains a citation note clarifying the canonical source.

Canonical archive

All definitive versions, version history, and DOIs are hosted on Zenodo.

Author profiles

ORCID profile: https://orcid.org/0009-0009-8447-7247

QEIOS profile: https://www.qeios.com/profile/104703

Status and transparency

The CSD programme is developed openly.

  • Achieved results are stated explicitly

  • Open problems and deferred work are clearly identified

  • No claims are made beyond the scope of the published papers

Future papers will be listed here as they become available.

Discussion and feedback

Critical comments, questions, and corrections are welcome.

  • Use Qeios for public technical discussion

  • Or contact directly via the Contact page

Engagement:

  • Zenodo: 461 views, 380 downloads.

  • Qeios: 847 views, 222 downloads. 1 Peer review (3/5)

Qeios, 27/10/2025: William Sulis, McMaster University, Canada: This is a nicely written paper describing how probabilistic frequency values can arise from strict deterministic dynamics through coarse graining.

Engagement:

  • Zenodo: 529 views, 389 downloads.

  • Qeios: 829 views, 329 downloads. 4 Peer review (3.13/5)

Qeios, 09/01/2026: Angelo Plastino, Universidad Nacional de La Plata, Argentina: The revised paper is now acceptable. The work could become a meaningful contribution to the study of quantum - classical analogies and foundational structures of quantum mechanics.

Cited: Inge Helland, Professor Emeritus at University of Oslo, Norway in “An alternative foundation of quantum theory”, see: arXiv: [2305.06727] An alternative foundation of quantum theory

Engagement: Zenodo: 78 views, 51 downloads.

Engagement: Zenodo: 457 views, 268 downloads.

Alternative Entry Points by Reader Type

Constraint-Surface Dynamics attracts readers with very different motivations. The programme is modular, and not everyone should start at the same place. Below are five common entry profiles, with a recommended path for each.

1. Foundations and Interpretation Researchers

You care about:
measurement, probability, realism, contextuality, Bell, Kochen–Specker, PBR.

Start here:

  • Paper A

  • Paper C

  • Paper D

Why this order:
Paper A reframes probability without stochastic postulates. Paper C shows how quantum statistics, contextuality, and measurement emerge from deterministic geometry. Paper D clarifies how this avoids collapse, many-worlds branching, and hidden-variable value assignments.

What to ignore initially:
Technical appendices in Paper C unless a specific construction is under scrutiny.

2. Mathematical Physicists and Geometers

You care about:
symplectic geometry, Kähler manifolds, invariant measures, Hamiltonian flows.

Start here:

  • Paper B

  • Paper C (Sections 2–4, Appendices E, H, I)

  • Paper A

Why this order:
Paper B fixes the probability measure using symmetry alone. Paper C develops the projected Hamiltonian structure and geometric measurement partitions. Paper A provides the measure-theoretic typicality result that closes the probabilistic loop.

What to treat as assumptions:
The existence of the projection π. This is an explicit open problem.

3. Quantum Information and Computation Researchers

You care about:
states, gates, noise, decoherence, contextuality as a resource.

Start here:

  • Paper C (Sections 3–6)

  • Paper B (for measure justification)

  • Paper A (optional background)

Why this order:
Paper C reconstructs unitary dynamics, composite systems, interference, and contextuality entirely within finite-dimensional projective geometry. This is the operational layer relevant to circuits and algorithms.

What is not required:
Ontic commitments about Σ. All operational results are epistemic.

4. Experimentalists and Quantum Sensing Researchers

You care about:
interference visibility, decoherence, measurement stability, precision limits.

Start here:

  • Paper C (Sections 5–6, Appendices B–E)

  • Paper A (conceptual background)

Why this order:
Measurement outcomes are modeled as geometric partitions with well-defined volumes. Interference and decoherence acquire geometric diagnostics that can be compared with standard experimental figures of merit.

What to skip:
Interpretational discussion unless needed for context.

5. Philosophically Inclined Physicists and Advanced Students

You care about:
what quantum mechanics is actually saying, without metaphysics or mysticism.

Start here:

  • Paper D

  • Paper C

  • Paper A

Why this order:
Paper D provides the conceptual map. Paper C shows that the map corresponds to a working formalism. Paper A explains why probability appears at all in a deterministic theory.

What to keep in mind:
CSD is a reconstruction, not a claim of finality. Some structures are assumed and explicitly flagged as such.

Important Note on Scope

All current papers fully address finite-dimensional, nonrelativistic quantum mechanics.
Questions of spacetime emergence, field theory, and infinite-dimensional limits are deferred to Paper Σ and are treated as open research problems, not resolved results.