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Unified Φ Field Theory: A Scale-Invariant Unified Field Theory

Authors: Fisseha Tamire Huluka;

Unified Φ Field Theory: A Scale-Invariant Unified Field Theory

Abstract

<div> The Unified Φ-Field&nbsp;Theory (UPT) presents a scale-invariant framework that unifies quantum mechanics and general relativity by integrating all fundamental forces---gravitational, electromagnetic, weak, and strong---through a universal scaling law governed by a dynamical scalar field Φ&nbsp;and the number of spacetime dimensions D. The central&nbsp;Phi-scaling equation, </div> <div> F(Φ,D,X)=C_X X_p'(X_f/X_p'(X_f))^(k_X s(Φ/(Φ+2))^(s(D-4) ) )) </div> <div> dictates the scaling of physical quantities $X$ across all scales, from sub-Planckian to cosmic, using modified Planck units X'_p defined with system-specific characteristic velocities $v_c$. The theory is derived rigorously from first principles: scale invariance of the Einstein--Hilbert action, holographic entanglement entropy, causality, and dimensional analysis. </div> <div> <br> </div> <div> The Unified Φ-Field&nbsp;Theory (UPT) is presented as a minimal, zero-free parameter, self-consistent theory of everything, satisfying 11 core requirements of true theory of everything . Governed by a scale-invariant framework, UPT introduces a scalar field, Φ, encoding holographic entanglement entropy density, and utilizes dimensional scaling, D. Through a universal scaling law derived from first principles—scale invariance, holography, causality, and modified Planck units—UPT unifies the fundamental forces, quantizes gravity, resolves the hierarchy problem, explains matter-antimatter asymmetry, and derives dark energy and dark matter as emergent phenomena. It further accounts for particle masses and three generations, neutrino oscillations, the strong CP problem, key cosmological issues, black hole information paradox, ontology, philosophy, teleology and consciousness and real-world interdisciplinary applications(e.g. Quantum Computing). All effects arise naturally from the Φ-dependent scaling without fine-tuning or additional particles, offering testable predictions and mathematical consistency from Planck to cosmic scales. </div> <div> <br> </div> <div> UPT resolves long-standing problems in theoretical physics, including gravitational singularities (via a quantum bounce), the hierarchy problem, matter--antimatter asymmetry, dark energy and dark matter as emergent scaling effects, and the black hole information paradox. It embeds the Standard Model through Φ-dependent couplings and masses and predicts three fermion generations from scaling regimes. </div> <div> <br> </div>

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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