VISUALISE REALITY

1. The one physical picture

WSM begins with one substance, Space, and one law, local wave velocity is determined by local wave energy density:

\[c'(\mathbf{x},t)=E_d(\mathbf{x},t).\]

Space is not an empty container holding particles and fields. It is the continuous substance whose motion is the world. Stable matter is repeating wave motion of Space: inward and outward spherical waves forming a standing-wave structure. The intense wave-centre creates the localised “particle” effect, but the physical matter structure is spatially extended.

A One substance and real causal connection are the ontological foundation. B The exact dynamical field equation and nonlinear closure remain the work that must seal the picture.

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

A computer screen shows surfaces and cross-sections. The physical object must be imagined as a full spherical pattern, continuously oscillating. The same wave can look localised near its high-amplitude centre and extended at larger scales. This is the simple visual root of wave–particle duality: one structure, two observational scales.

Matter and antimatter are represented by opposite phase relations of the standing wave. Charge, spin and interaction cannot be inferred from a still picture alone; they require the phase, rotation and nonlinear response of the complete wave structure. The diagrams therefore begin with the scalar skeleton and add the missing dynamical structure step by step.

3. Cube–sphere geometry — the e-sphere

Three orthogonal wave directions define a unit cube. Its body diagonal is \(\sqrt3\), so the sphere through the cube’s corners has radius \(\sqrt3/2\). This gives the e-sphere’s exact static geometry:

\[D=\sqrt3L,\qquad r_e=\frac{\sqrt3}{2}L,\qquad V_e=\frac{4\pi r_e^3}{3}=\frac{\pi\sqrt3}{2}\equiv E_{\rm geo}.\]

The cube represents the three orthogonal travelling-wave directions; the sphere represents their isotropic standing-wave closure. Pythagoras therefore becomes physical wave geometry rather than an abstract coincidence. The diagram also explains why \(\sqrt3\), the sphere, the cube and the magic-angle direction recur through the WSM derivations.

A The geometry and identities are exact. Their complete dynamical role in the electron eigenmode remains to be solved.

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

A moving standing wave cannot remain a perfectly symmetric sphere relative to the surrounding medium. Its forward and backward wave components acquire opposite Doppler shifts. Their mean gives the Lorentz factor; their beat gives the de Broglie modulation:

\[\gamma=\frac1{\sqrt{1-v^2}},\qquad \lambda_d=\frac{2\pi}{\gamma v}\quad (\hbar=c=m_e=1).\]

The matter wave therefore moves as an organised transformation of its entire standing-wave pattern. The de Broglie wave is not a second substance attached to a particle. It is the large-scale phase modulation produced by the asymmetric components of one moving standing wave. Lorentz contraction, relativistic clock change and matter-wave phase are different readings of the same geometry.

A The Lorentz and de Broglie relations follow algebraically from the moving-wave decomposition. B The illustrated energy-density and curvature distribution is a physical model still awaiting the complete nonlinear solution.

5. Huygens connection — matter is extended through the universe

Every wave-centre requires continuing in-wave support. Under the WSM Huygens picture, those in-waves are generated by the out-waves of other matter throughout the centre’s finite coherent support domain. Each local object is therefore not an isolated point. It is a node in a network of reciprocal wave exchange.

This gives physical meaning to nonlocal connection without signals crossing an empty void. The same continuous Space carries all waves. The finite Huygens sphere is not the boundary of Space; it is the finite domain over which coherent support remains physically effective within infinite Space.

B The reciprocal Huygens structure is the WSM cosmological mechanism. The exact coherence kernel and boundary weighting remain open computations.

6. Cosmological redshift — coherent wave transport, not a tired blur

In current WSM cosmology, redshift is modelled as coherent action-phase relaxation through the medium rather than expansion of space or incoherent scattering. The baseline transport law is

\[\frac{d\ln\nu}{ds}=-\kappa\quad\Rightarrow\quad 1+z=e^{\kappa D}=e^{D/R_H}.\]

The essential visual distinction is coherence. A wavefront can change curvature, phase spacing and frequency while preserving the organised information that forms an image. Incoherent collisions would blur and thermalise distant galaxies; coherent transport changes the whole phase relation without destroying the image.

B The exponential baseline and phase-transport interpretation are structural. The complete curvature-decay kernel, distance relation and observational residuals remain active tests.

7. Light — resonant energy transfer between matter waves

WSM distinguishes the empirical fact — electromagnetic energy is exchanged discretely — from the interpretation that a tiny particle called a photon travels as an independent object. The alternative picture is resonant coupling: one bound standing-wave system changes to a lower-energy mode while another changes to a higher-energy mode, with the shared medium carrying the phase relation between them.

The discreteness comes from allowed standing-wave modes and phase closure. The extended wave relation carries the interaction; the local emitter and absorber register discrete changes. A correct diagram must therefore show two matter systems, a shared wave medium, phase matching and thresholded exchange, not a luminous pellet flying through emptiness.

B Resonant exchange is structurally consistent with wave mechanics. The full emission–transport–absorption kernel and detector statistics remain open.

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

A solid is not made rigid because tiny hard particles touch. Atomic and molecular standing waves settle into stable, repeating phase and geometry relations. Disturbing one structure changes the waves reaching its neighbours, producing restoring responses across the network. Macroscopic rigidity is therefore an emergent property of organised resonance in a highly connected medium.

This picture also explains why solids vibrate, carry phonon-like modes, expand with temperature and can fracture: the stable pattern has permitted modes and thresholds. “Solid” describes the persistence of relational wave geometry, not an ultimately solid substance underneath.

C The visual mechanism is plausible and consistent with wave-based condensed matter, but a complete WSM derivation of bonding, lattice elasticity and fracture is not yet supplied here.

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.

• Charge and antimatter.
  Opposite phase, in-phase repulsion, opposite-phase attraction, and annihilation as phase cancellation.
• Gravity and inertia.
  Wavefront curvature, the moving ellipsoid, the local \(E_d\) gradient and wave-centre acceleration.
• Spin and the two-channel e-sphere.
  Radial standing wave, transverse phase current, 720° closure and magnetic moment.
• Born-rule measurement.
  An incident wave meeting a resonant detector array, phase locking, threshold crossing and local click statistics proportional to \(|\psi|^2\).
• Least action.
  Neighbouring paths cancelling away from stationary phase and reinforcing on the classical path.
• Proton and neutron.
  The rotating three-lobed \(C_3\) muonic eigenmode, charge arrangement, no-slip phase matching and the bound negative wave of the neutron.
• Cosmology.
  Finite Huygens spheres in infinite Space, coherent redshift, equilibrium CMB bath, curvature cross-terms and angular eigenmodes.
• Evolution and mind.
  Repeating wave patterns becoming self-copying chemistry, organisms, nervous systems and self-modelling minds.

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.