FTFT and CPT Violation: A New Window into Quantum Time

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1. The Temporal Scalar Field (ϕT​) and Quantized Time Dynamics:At the heart of FTFT is the revolutionary idea that time is not merely a passive backdrop but a dynamic, quantifiable scalar field (ϕT​). This field has its own quantum excitations, known as chronons, which are massive bosonic particles. The existence of ϕT​ means that time itself has a fundamental, quantized, and interacting nature, subject to quantum fluctuations and dynamics, much like the electromagnetic field has photons.
2. Influence on Particle Decays:FTFT posits that this temporal scalar field directly interacts with matter particles. A key interaction term in the FTFT Lagrangian is the coupling of ϕT​ to fermions (gT​ϕT​ψˉ​ψ). This direct coupling means that the presence, fluctuations, or the local background value of the ϕT​ field can subtly modulate the fundamental properties or quantum amplitudes governing particle decay processes. This influence is not just a classical gravitational effect, but a direct quantum interaction with the temporal field.
3. Leading to Observable Temporal Asymmetries:Because ϕT​ is a field intrinsic to time, its influence on particle decays can manifest as temporal asymmetries. This means that the rate or characteristics of a particle's decay (e.g., its lifetime, or the distribution of its decay products) might differ from its antiparticle's decay in a way that implies a non-invariance under time reversal.
   
   • Specific Examples: FTFT predicts concrete temporal asymmetries, such as:
     
     • Temporal asymmetries in same-sign dilepton (SSDL) events (Δtℓℓ​≈1.5fs): These are tiny, measurable time differences in the production of leptons, directly influenced by the ϕT​ field.
     • Slepton decay asymmetry: As discussed, if ϕT​ interacts with supersymmetric particles, it could lead to observable differences in slepton decay rates or patterns.

1. The Link to CPT Symmetry Violations:This is where FTFT makes a profound connection to fundamental physics. The CPT theorem is one of the most robust theorems in Quantum Field Theory. It states that under general assumptions (such as Lorentz invariance, unitarity, and locality), all physical laws must be invariant under a combined transformation of Charge conjugation (C), Parity (P), and Time reversal (T).
   
   • Implication of Observed Asymmetries: If temporal asymmetries predicted by FTFT are observed, and these asymmetries cannot be explained solely by known CP violation (which occurs in weak interactions) while maintaining T-symmetry, then it implies a direct violation of T-symmetry (Time Reversal symmetry).
   • CPT Theorem's Role: According to the CPT theorem, a violation of T-symmetry (assuming CP-symmetry holds, or that the observed T-violation is not compensated by CP-violation) necessarily implies a violation of CPT symmetry itself.
   • FTFT's Mechanism: The dynamical nature of the temporal field, especially if it intrinsically defines a "direction" in time or if its non-local interactions (described by the kernel K(x,y)) subtly break assumptions like strict locality that underpin the CPT theorem, could be the physical origin of such CPT violations. The CPT theorem is proven for local QFTs. A theory with fundamental non-locality, like FTFT, opens up new avenues for subtle CPT breaking.
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 FTFT’s quantized time structure, embodied by  φT​, naturally predicts CPT violation through its oscillatory dynamics, non-local kernel, and modified interactions. The predicted asymmetries in high-energy collisions ( Δtℓℓ​≈1.5fs), neutrino oscillations, and CMB anomalies ( ΔCℓ​/Cℓ​≈10−3) are mathematically consistent with the FTFT Lagrangian and testable by CMS, DUNE, Belle II, and the Simons Observatory. As of August 2, 2025, no data confirms these predictions, but upcoming experiments (2026–2030s) offer a clear path for validation. If verified, FTFT’s CPT-violating signatures could revolutionize our understanding of fundamental symmetries, positioning time as a central dynamical entity in physics.