VISUALISE REALITY

1. The one physical picture

WSM begins with one substance, Space, and one directional law: local wave speed changes with local directional wave-energy density relative to the undisturbed background:

\[\frac{c'(\mathbf{x},\hat{\mathbf n},t)}{c_0}=\frac{E_d(\mathbf{x},\hat{\mathbf n},t)}{E_{d0}}.\]

Space is not an empty container holding particles and fields. It is the continuous substance whose longitudinal motion is the world. Plane waves arrive from all directions, converge, cross the centre and continue outward. Their recurrent superposition forms the spherical particle effect; the matter structure itself remains open, extended and continually rebuilt.

A The equation states the normalised One-Law premise. C A stable finite open e-sphere is the proposed recurrent matter form.

2. Spherical standing waves — the particle effect without a particle

A screen shows surfaces and cross-sections; the physical proposal is a full three-dimensional recurrence. The same organisation can be read in two equivalent ways: as spherical in-waves and out-waves centred on one recurrence, or as a directional superposition of plane waves crossing that recurrence. Near the centre the amplitude is localised; at large radius the same organisation is spatially extended.

Matter and antimatter are proposed as opposite phase branches of the recurrence. Spherical hand, electric-charge sign and interaction are distinct reads: none can be inferred from a still scalar picture alone. The diagrams therefore begin with the breathing skeleton and add ordered motion, phase, hand, curvature and stress without introducing another substance.

3. Cube–sphere control geometry

Three mutually orthogonal directions define cube coordinates. For edge length \(L\), the body diagonal is \(\sqrt3L\), so the circumsphere has radius \(\sqrt3L/2\). The Euclidean relation is exact:

\[D=\sqrt3L,\qquad r_{\rm circ}=\frac{\sqrt3}{2}L,\qquad \frac{V_{\rm circ}}{L^3}=\frac{\pi\sqrt3}{2}.\]

WSM uses this as control geometry for three orthogonal travelling-wave directions and one isotropic spherical closure. The geometry does not by itself choose the e-sphere scale or prove that a living electron realises the circumsphere; that identification must use one consistent wavelength convention and agree with the recurrent solution.

A Cube, diagonal, circumsphere and dimensionless volume ratio are exact. C Their identification with the physical e-sphere is a closure proposal.

4. Moving matter — wave egg, Lorentz factor and de Broglie modulation

A translating recurrence is rebuilt asymmetrically. Conditional on one opposed reciprocal-wave pair, the two directional factors are \(e^{+\eta}\) and \(e^{-\eta}\); their sum and difference give the Lorentz energy and momentum factors, while their longer beat gives de Broglie phase:

\[\beta=\frac{v}{c_0},\qquad \gamma=\cosh\eta=\frac1{\sqrt{1-\beta^2}},\qquad \frac{\lambda_{\rm dB}}{\bar\lambda_e}=\frac{2\pi}{\gamma\beta}.\]

The e-sphere does not move as an unchanged pellet. Successive plane waves reconstruct a changing egg-shaped recurrence. In the current co-moving branch the leading sector has lower \(E_d\), lower \(c′\) and shorter local closure wavelength; the trailing sector has higher values and a longer wavelength. The carrier moves with the centre; the longer front-to-rear phase relation is the de Broglie modulation.

B Lorentz and de Broglie relations follow exactly from the stated reciprocal-pair decomposition. C The complete finite wave-egg profile is the physical solution represented by the picture.

5. Huygens connection — matter is extended through the universe

Every e-sphere is continuously crossed and maintained by plane waves arriving from every direction. The same motion can be regrouped as a spherical in-wave converging on the centre and a spherical out-wave continuing away. Each e-sphere is therefore a local focus of the common directional wave sea—not a point source, reflecting shell or separate object placed inside Space.

As a plane wave crosses an e-sphere, the e-sphere’s directional speed and crossing-time pattern write real curvature onto the departing front. At rest the written near pattern is hemispherical in section; in motion it follows the direction-dependent half of the wave egg. Other e-spheres later read those shifted, tilted and curved fronts. Plane-wave transport and spherical Huygens reconstruction are two descriptions of the same continuous displacement history.

B Reciprocal Huygens support is the finite-coherence bridge between local recurrence and the surrounding wave sea. D The action must calculate its return kernel and weighting.

6. Cosmological redshift — coherent dilation of a real curve train

The visual requirement is whole-train dilation, not a fixed delay and not random scattering. If \(t_e\) labels separation within the emitted pattern and \(t_o\) the corresponding received separation, redshift is read without choosing an arbitrary time origin:

\[1+z=\frac{dt_o}{dt_e},\qquad C_D(\tau)=C_0\!\left(\frac{\tau}{1+z}\right).\]

Successive real curves on successive plane waves must arrive farther apart by the same factor: carrier oscillations, modulation and the full supernova envelope dilate together while angular information remains coherent. The exponential relation \(1+z=e^{D/R_z}\) is the current rigid control branch, not redshift inserted as a collision term or a final fit to all distance data.

C Coherent whole-train dilation is the WSM transport target; the rigid exponential distance law is its present control branch.

7. Light — a changing train of real curves on plane waves

A bound e-sphere already transforms the plane waves continually crossing it. When its stable standing-wave pattern changes, the outgoing plane waves do not carry a little object or a packet of energy-substance. They carry a changed physical displacement of Space: a finite train in which the position, timing, orientation, conjugate motion and half-egg shape of the real curve vary from one plane wave to the next and with direction.

Those curves propagate, spread, diffract, overlap and pass through other e-spheres. A receiver does not collect a pellet; its own recurrent wave egg is continually altered by the arriving train. A completed quantum event occurs when the changed reciprocal connection permits that bound e-sphere to reclose in another allowed standing-wave organisation. Discreteness belongs to the source and receiver closures; continuity belongs to the real wave motion between them. Energy and action are conserved measures of this displacement history, not substances travelling separately through Space.

C The real curve-train mechanism joins emission, propagation and absorption in one substance. Its direction-resolved response must recover frequency, phase, polarisation, diffraction, discrete detection and exactly two observed transverse optical helicities.

8. Solid bodies — rigidity from stable relations, not hard particles

A solid is not rigid because ultimately hard pellets touch. Atomic and molecular e-spheres maintain stable recurring phase and geometry relations. Displace one centre and the curves written onto the shared plane waves change; neighbouring e-spheres reconstruct in different places and their complete wave stresses supply restoring motion across the many-centre pattern.

The same picture makes room for vibration, collective lattice modes, thermal expansion and fracture. A solid is a persistent network of reciprocal wave closures with permitted deformations and failure thresholds—not a second, intrinsically solid substance beneath the waves.

C Stable many-centre reclosure is the proposed visual mechanism for solidity; quantitative bonding, elasticity and fracture belong to the corresponding many-body solution.

9. Current image index

10. The next diagrams needed

The present page is a foundation, not a finished atlas. The most valuable next images are those that make a load-bearing mechanism auditable rather than merely attractive.

• One plane wave crossing one e-sphere.
  Show directional \(E_d\), changed \(c′\), crossing time and the real half-egg curve left on the departing front.
• Resting sphere to moving wave egg.
  Show how the written curve changes with propagation direction as the leading and trailing closures become unequal.
• Charge and antimatter.
  Show same- and opposite-phase reconstruction signs separately from the complete stress calculation that must establish sustained force.
• Gravity and inertia.
  Show many small forward and rear curves, their q-even residual, large-scale delayed front and the receiver’s changed reconstruction and stress.
• Spin and the rotation doublet.
  Show breathing as the sum of two spherical hands, radial flow as their difference, and keep hand distinct from electric-charge sign.
• Light from one bound transition.
  Animate successive real plane waves carrying a direction-dependent changing curve train from one wave egg to another—no pellet and no pure phase screen.
• Quantum completion.
  Show an extended train meeting many receivers, then joint non-factorisable reclosure rather than independent local detector races.
• Cosmological dilation.
  Show the same \(1+z\) stretching a carrier oscillation, modulation and complete supernova envelope while preserving angular information.

This visual page will evolve as better diagrams are made. Older images are retained only where they still clarify the geometry; obsolete Flash objects, particle-based proton speculation and contradictory legacy explanations have been removed rather than carried forward as if current.