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Physics papers 15 papers
Physicists. Quantum mechanics and its foundations, qubit and device physics, decoherence and leakage, entanglement, anyons and topological matter, superconductivity, thermodynamics of physical systems, spacetime, cosmology and quantum biology.
Numbers & arithmetic. Primes, factorisation and arithmetic structure Tagged papers: 59.
Fine‑Structure Constant as an Adelically Constrained Cross‑Ratio
The fine‑structure constant α is a dimensionless coupling whose empirical value $\approx$ 1/137 remains unexplained by the Standard Model. This work investigates the hypothesis that α can be expressed as a projective cross‑ratio of adelic invariants and that the adelic product formula…
Renormalization‑Group Flow Constraints on Charged‑Lepton Mass Ratios from a Unified UV Boundary Condition
The hierarchy of charged‑lepton masses ($m_e$, $m_\mu$, $m_\tau$) lacks a dynamical explanation within the Standard Model, limiting the predictive power of grand‑unified model building. A concrete gap is the absence of a demonstrated mechanism by which a simple ultraviolet (UV) boundary condition on…
Torsion as a Candidate Geometric Generator of Quantum Phase and Statistics: A Formalization and Falsifiability Analysis
Quantum mechanics rests on postulates—the complex phase of the wavefunction, the quadratic scaling of state-space dimension, and the boson/fermion restriction on exchange symmetry—that are empirically successful but deductively unexplained. A conjecture in current circulation holds that spacetime…
Physical Irrelevance of Uncountability: Computable Reals Suffice for Continuum Physics
Continuum physics is traditionally formulated over the uncountable real line $\mathbb{R}$, yet every laboratory measurement, record, and computation is finite. This paper asks whether the uncountability of $\mathbb{R}$—as distinct from its Archimedean completeness—has any observable consequence. The…
Critical Values on a Non-Uniform Number Line: Bifurcation Markers, Normalization Dependence, and the Conjectured Specialness of Physical Constants
We examine the conjecture that the real number line, as a model of physical state space, is misleadingly uniform: that certain parameter values act as topological phase boundaries rather than smooth increments, and that fundamental constants such as the fine-structure constant $\alpha \approx 1/137$…
Non-Anthropocentric Natural Units for Area and Information in Holographic Entropy Bounds
The holographic entropy bound is conventionally stated in bits, a unit that embeds two human conventions: integer counting of states and the choice of logarithm base 2. This paper asks whether the bound can be restated entirely in observer-independent quantities, and it situates the question in the…
Quantitative Bulk–Boundary Correspondence for Anyon Condensation: Two Computable Indices with Explicit Arithmetic
When a $(2+1)$-dimensional topologically ordered phase terminates at a boundary where a subset of anyons condenses, the boundary becomes gapped, and the bulk–boundary correspondence acquires sharp quantitative content: which boundary phenomena are forced by the bulk condensation data, and which…
Invariant Structural Value: Fundamental Constants and Formulas as Invariant Relations
A measured physical quantity is a number that survives all arbitrary choices. The unit system, the coordinate system, the gauge choice, the Hilbert-space basis, and the energy scale are all choices; what is invariant under them is what is physical. This essay develops the structuralist reading that…
Frequency as Valuation Theory: The Rational Ratio at the Heart of Physical Law
Frequency in dimensionless Planck units is a rational ratio a/b in Q. The Compton frequency of a fundamental particle is its invariant identity — its prime spectrum.
The Ostrowski Dimensionless Reformulation: A Systematic Compilation of Fundamental Physics Equations in Planck Units
Systematic compilation and dimensionless reformulation of 53 fundamental physics equations across ten disciplines, motivated by the Ostrowski Dimensionless Mandate. Dimensional formulations implicitly privilege the Archimedean completion of the rationals per Ostrowski theorem (1916). All quantities…
α-π-Helix: Geometric Unification of Fundamental Constants
Geometric unification of fundamental constants using α (fine-structure) and π (geometric) helix structures, classifying Standard Model particles as topological vortex/helicon states. v2.1 — Phase 10 complete with 6-domain synthesis including experimental roadmap, cosmology, mathematical rigor, QFT…
ULTRAMETRIC PHYSICS
This research plan presents a framework for ultrametric physics based on fundamental scaling ratios rather than anthropocentric number representations. The core insight: physical reality is described by dimensionless scaling ratios (π, φ, e, α, etc.) that operate on hierarchical discrete structures,…
Ultrametric Physics Research Plan
This research plan presents a framework for ultrametric physics based on fundamental scaling ratios rather than anthropocentric number representations. The core insight: physical reality is described by dimensionless scaling ratios (π, φ, e, α, etc.) that operate on hierarchical discrete structures,…
RESOLVING THE SCALE PENALTY
The theoretical frameworks of the Renormalization Group and Chiral Perturbation Theory mandate that continuum extrapolations in lattice QCD should contain logarithmic corrections, a phenomenon termed the “Scale Penalty.” However, the computational cost of simulations often leads to data-sparse…
The Simplicity of Reality: Deconstructing the Mathematical Epicycles of Modern Physics
Simplicity of Reality: Deconstructing the Mathematical Epicycles of Modern Physics Abstract: This paper argues that the impenetrable mathematical abstraction of modern theoretical physics is not a necessary feature of reality, but a direct symptom of a flawed ontological foundation initiated by…
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