A New Foundation for Physics: Advocating the Phase Biased Geometry Framework

Physics stands today at a conceptual crossroads. Our two most successful theories—quantum field theory (QFT) and general relativity (GR)—offer extraordinary predictive power, yet remain mutually incompatible at their core. Both rely on frameworks that are effective but metaphysically strained: quantised point particles in abstract Hilbert spaces, and smooth spacetime manifolds distorted by mass and energy. Despite their empirical success, these models fail to offer a coherent ontology. They depend on mathematical constructs—wavefunctions, metrics, fields—that work, but do not explain why they work.

Into this fragmented landscape enters the Phase Biased Geometry (PBG) framework: a self-contained theory that rejects the traditional metaphysical scaffolding of fields, particles, and spacetime. In its place, PBG offers a unified, coherence-based model of physical law. This is not merely a reinterpretation of existing physics in new language—it is a first-principles derivation of motion, interaction, structure, and observation from modal coherence and anchoring dynamics. It eliminates conceptual redundancies, resolves long-standing paradoxes, and offers predictive divergence in key cosmological and quantum domains.

1. From Constructs to Coherence

The foundational insight of PBG is that physical reality is not built from objects moving through a background, but from structured interference patterns—modes—that preserve coherence under specific constraints. These modes are extended, phase-bearing configurations. They do not occupy points in space or time; they persist in configuration space and evolve statistically along coherence gradients.

There are no fields, no particles, no spacetime manifold. Instead, PBG introduces coherence fields, bias functionals, and anchoring costs. All observable behaviour—gravitational lensing, atomic stability, redshift, cosmic structure—emerges from how modes interact, maintain phase structure, and resist decoherence.

2. Gravitation as Emergent Bias

In PBG, gravity is not a fundamental force or curvature of spacetime. It arises from mutual coherence bias between modal ensembles. A massive body is not a source of spacetime distortion; it is a cluster of coherence-stable modes whose anchoring fields bias the evolution of surrounding modes. What appears as free fall or attraction is simply the statistical outcome of modes following coherence gradients.

This reinterpretation yields a critical benefit: it removes the need for a background geometry entirely. There is no fabric of space to curve—only a coherence field to evolve. The theory recovers Newtonian behaviour in the appropriate limit, predicts lensing and redshift without invoking curvature, and reproduces classical motion through phase-preserving evolution. It explains why mass resists acceleration—not as a property, but as a structural resistance to bias deformation.

3. Quantum Behaviour Without Collapse

Where quantum mechanics stumbles over measurement and collapse, PBG moves cleanly. Decoherence is not a mysterious, observer-dependent discontinuity. It is the structural fragmentation of a mode whose phase continuity has been disrupted. Measurement is not an act of collapse, but a failure of anchoring—a breakdown in the mode’s ability to preserve coherence in a new modal environment.

This removes the conceptual confusion of observer effects, hidden variables, and wavefunction realism. The apparent randomness of quantum outcomes reflects the statistical behaviour of coherence turnover under structural constraints. Entanglement is simply mutual anchoring between phase-coherent modes. Bell violations are not paradoxes—they are predictable consequences of persistent phase correlations across a coherence field.

4. Reconstructing Thermodynamics

PBG also redefines entropy—not as microstate counting, but as the volume of phase-compatible configurations. Temperature becomes a measure of susceptibility to coherence deformation. The Second Law is no longer a statistical artefact—it is a consequence of modal turnover: coherent structures degrade irreversibly under tension, leaving decohered remnants. Heat death is not an ultimate fate, but a statistical plateau of coherence turnover that may reverse under modal recoalescence.

This interpretation eliminates the need for equilibrium postulates, microstate assumptions, or thermal fields. Thermodynamic behaviour is a natural outcome of structural coherence dynamics.

5. Predictive Divergence with Observational Tests

PBG is not just philosophically elegant—it diverges from GR and QFT in measurable ways. It predicts:

These divergences are not arbitrary. They emerge from the coherence rules and modal structure of the theory. Where GR invokes geometry and QFT postulates quantised fields, PBG provides structural derivations grounded in a single principle: coherence preservation under modal evolution.

6. A Theory Without Free Parameters

Perhaps most strikingly, PBG contains no tuned constants. Every quantity—anchoring cost, coherence kernel, effective mass, decoherence rate—is derived from the structure of the modes and the coherence field. This is not a retrofitted model. It is a framework in which the observed universe is the natural, statistical outcome of coherence dynamics. There is no need for dark energy constants, inflationary initial conditions, or field quantisation rules.

7. Replacing the Standard Model

In its companion document, PBG also dismantles the Standard Model. It replaces quarks, leptons, bosons, and the Higgs with modal coherence structures: spin is phase winding, charge is anchoring asymmetry, decay is saturation collapse, and neutrino oscillation is modal shear. It explains what we see—tracks, jets, asymmetries—not by positing entities, but by deriving coherence-compatible transitions under phase constraints. It preserves predictive success while eliminating conceptual excess.

Conclusion: Physics Without Constructs

PBG is not a philosophy of physics. It is a physical theory: predictive, falsifiable, and grounded in a single mathematical structure. It offers a route beyond spacetime metaphors and particle assumptions—one in which motion, structure, and interaction all arise from coherence and bias.

Where GR and QFT succeeded phenomenally but failed to unify, PBG begins unified. It does not adjust the scaffold—it removes it. And from what remains—modal coherence, anchoring cost, and bias evolution—comes the behaviour of the entire observable universe.

Physics has long sought a foundation that is not only predictive, but meaningful. PBG may be that foundation: not a new story built from old parts, but a new structure that renders the parts obsolete.

Primer, A Metaphor, An Introduction to Modal Dynamics and Biased Geometry, Phase-Biased Geometry Theory, Observations