Chapter 6
Replacing the Higgs with Resonance Field Coherence
Complex and Cosmological Systems
Author: Mark Anthony Higgins
Revised Date: 23 February 2026
Chapter 6
What this flow captures
ResonanceFieldCoherence_MassGeneration reformulates the Higgs mechanism in geometric, coherence-based terms.
Instead of treating mass as the result of interaction with an external scalar field, this flow expresses it as a resonance of the curvature field itself — a standing mode of coherence that locks when boundary integrity falls below perfect symmetry.
In the HST framework, every field is a surface of coherence.
When that surface maintains perfect phase alignment, its excitations propagate freely and masslessly.
When alignment is perturbed, the curvature field oscillates against its own boundary — forming a stable resonance pocket that traps energy.
That stored coherence tension appears macroscopically as inertial mass.
Core intuition (HST view)
The Higgs mechanism in standard particle physics imagines a universal scalar field permeating the vacuum, with particles gaining mass through coupling to it.
But in HST, the “vacuum” already is the baseline coherence field — the medium from which all curvature arises.
Thus, there is no need for an additional field; the mass-giving interaction is simply the system entering a curvature-locked state.
When boundary integrity (the measure of phase coherence across a region) drops below a critical threshold, the field can no longer maintain full symmetry of oscillation.
It begins to resonate internally.
This locked resonance behaves as a curvature capacitor, storing energy in its local geometry.
The resonance frequency defines the effective mass through the relation
m_eff = ħ·ω_res / c².
When integrity is restored — through energy input, temperature, or field relaxation — the resonance dissolves, releasing its stored energy as massless radiation.
Mass, therefore, is coherence tension in resonance: geometry temporarily holding its own curvature.
Mathematical and physical structure
Interpretation in coherence physics
| Concept | Standard Model | HST Coherence View |
|---|---|---|
|
Higgs field
|
Universal scalar background
|
Baseline curvature
coherence (vacuum lattice) |
|
Spontaneous symmetry breaking
|
Field settles into
vacuum expectation value |
Boundary integrity falls
below stability threshold |
|
Mass acquisition
|
Coupling to scalar field
|
Locking of curvature
resonance within a boundary |
|
Higgs boson particle
|
Excitation of scalar potential
|
Transient resonance pulse
of the coherence field |
|
Yukawa coupling
|
Empirical mass tuning constant
|
Local curvature coupling
constant (k_res, k_coh) |
|
Vacuum energy
|
Scalar potential offset
|
Stored coherence tension
in geometric equilibrium |
Thus, the “Higgs boson” detected experimentally corresponds, in this framework, to a temporary resonance pulse — a relaxation mode of the universal coherence field — not a separate particle type.
The measured energy peak at ~125 GeV is the resonance of the field lattice itself adjusting after symmetry loss, a standing curvature oscillation decaying back to equilibrium.
Boundary logic and physical meaning
This mechanism elegantly explains why high-energy interactions can remove mass: increasing energy restores symmetry by reinforcing coherence, not by adding fields.
Coherence interpretation of mass
In the HST view:
Mass is not substance; it is resistance to curvature realignment.
It represents how much energy must be supplied to restore full boundary coherence.
Thus, inertia, gravitation, and mass-energy equivalence all become manifestations of a single geometric quantity — stored curvature tension.
Relation to symmetry and unification
When written in Flow Algebra, symmetry breaking becomes a reversible process:
if boundary.integrity ≥ ε → symmetry = symmetric → massless propagation
if boundary.integrity < ε → symmetry = broken → locked resonance
This reframes “spontaneous symmetry breaking” as a continuity loss in the global coherence field, not a random event.
At high energies (early universe), the lattice maintained near-perfect coherence; all fields were massless.
As expansion introduced strain, curvature differentials emerged, boundaries lost integrity, and local resonance modes formed — giving rise to the diverse particle masses we observe today.
Significance
This flow unifies the Higgs mechanism, mass-energy equivalence, and vacuum coherence into a single geometric principle:
mass is a resonance of the same field that defines space-time itself.
It eliminates the need for a scalar Higgs field as an independent entity, replacing it with a resonant mode of boundary coherence that naturally conserves energy, symmetry, and curvature.
It also predicts that in conditions of extreme coherence — such as early cosmic symmetry or high-temperature plasmas — all particles become massless again, restoring the unified propagation state observed before cosmological tension froze curvature into resonance.
In essence
Mass is the sound of geometry held in resonance — a standing wave of coherence within space-time.
The Higgs is not a field apart, but the moment the universe listens to its own curvature and calls it matter.
