Quantum Wavespace Theory: A Simplified Physical Foundation from Two Constraints — the Propagation Limit C and the Storage Density Limit P₀
Authors/Creators
- 1. Independent
- 2. independent
Description
Quantum Wavespace Theory (QWST) develops the structural consequences
of two foundational constraints imposed on a Lorentz-invariant
standing-wave medium: a finite propagation speed C and a finite
saturation pressure P_0. Under these constraints, the medium
organizes energy into a discrete spectrum of standing-wave
eigenmodes whose geometry determines the fundamental constants of
nature. From this single starting point, the framework recovers
Planck's constant h via the closure relation h = (P_0/C) * 2 A_0 *
r_0^4, the fine-structure constant alpha via Bethe aperture
coupling between spherical and cylindrical modes, the Rydberg
constant R_infinity, the elementary charge e, the Bohr radius a_0,
the proton-electron mass ratio, the electron magnetic anomaly, the
proton mass scale, and the proton charge radius --- the last in
agreement with the central pressure measurements of Burkert,
Elouadrhiri, and Girod (Nature, 2018).The nucleon is identified with the spherical storage eigenmode of
the medium, bounded by a cosine pressure profile reaching P_0 at
the core and falling to zero at the nucleon radius r_0; three
confined toroidal transport modes within this core regulate excess
drive and carry the phenomenology of the quark sector. The electron
is identified with the cylindrical transport eigenmode, whose two
degenerate cavity modes (breathing and dipole) produce the Pauli
algebra and the baseline electron g-factor under perturbation by
the nucleon's radial pressure gradient.Newtonian gravity emerges as the residual effect of small but
finite coherence leakage at the cosmological boundary R_0, with
Newton's constant G expressed as a closed geometric formula
involving the foundational constants. Weak-field general relativity
is recovered as wavespace refraction in inhomogeneous pressure
fields, reproducing light deflection, gravitational redshift,
Shapiro delay, and perihelion precession. The cosmic microwave
background temperature is recovered from the Lyman-series
convergence limit, and dark energy is identified with the
wavespace floor pressure P_min ~ 10^-45 P_0 --- the smallest
nonzero background compatible with global phase coherence.The framework's results follow from the two foundational
constraints alone, without empirical fitting of free parameters.
Predicted values match CODATA and Planck Collaboration data at
parts-per-million precision or better across domains spanning
fifty orders of magnitude in scale, from the nucleon radius to
the Hubble distance.
Notes
Notes on this revision (2026)
This revision presents a substantial advance over earlier drafts of
the QWST framework, with the following highlights:
- A first closure relation linking Planck's constant directly to the
two foundational constraints, h = (P_0/C) * 2 A_0 * r_0^4,
expressing the action quantum as a geometric consequence of the
saturation pressure and propagation limit.
- A refined analysis of the proton core as a cosine pressure profile
consistent with the central pressure measurements of Burkert,
Elouadrhiri, and Girod (Nature, 2018), with three confined
toroidal modes interpreted as the quark sector that regulates the
spherical storage core.
- A geometric derivation of the storage-transport cycle as the
natural response of any bounded medium to localized energy
injection, recovering the standing-wave eigenmode structure
without ad-hoc postulates.
- A wave-mechanical derivation of the Lorentz factor gamma as the
inverse rest-fraction of a mode's total energy, providing a
physical interpretation of special-relativistic kinematics
consistent with the framework's storage-transport partition.
- A two-loop toroidal closure framework that unifies the description
of photons, electrons, and confined quarks as members of a single
transport family distinguished by their major-loop radius and
storage content.
- A refined sphere-sphere coupling analysis yielding the inertial
gain constant g_Sigma ~ 978.67 from three independent paths (the
proton-electron mass ratio, the Rydberg constant, and a
shell-integral derivation), with a structural account of why
this amplification appears in low-velocity probes (atomic,
gravitational, inertial) but not in high-velocity probes (fusion,
deep inelastic scattering).
- A refined recovery of the fine-structure constant alpha from
Bethe aperture coupling between the spherical storage mode and
the cylindrical transport mode, agreeing with CODATA at the
parts-per-million level.
- A recovery of the CMB temperature from the Lyman-series
convergence limit, linking the wavespace pressure floor
(P_min ~ 10^-45 P_0) to dark energy as a single asymmetry
in the medium's response to bounded compression.
- Updated CODATA comparison table covering h, alpha, G, R_infinity,
the elementary charge e, the proton-electron mass ratio, the
electron magnetic anomaly, the Bohr radius, the CMB temperature,
and the dark energy density --- all derived geometrically from
the two foundational constraints without empirical fitting.
The current treatment is geometry-first: every quantity is derived
from the propagation limit C and the saturation pressure P_0 acting
on a Lorentz-invariant standing-wave medium.
Files
QWST_Foundations_2026_R2.pdf
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Additional details
Related works
- Is derived from
- Book: LCCN 83-70164 (Other)
Dates
- Submitted
-
2025-09-10
Software
- Programming language
- MATLAB