FTFT

FTFT unlocks Time secrets while delivering testable physics

Our Focus

General relativity (GR) and quantum mechanics (QM) remain incompatible in extreme conditions, such as singularities in black holes. FTFT introduces a quantized temporal field, leading to discrete time evolution at the Planck scale. This quantization modifies spacetime dynamics, affecting the behavior of black holes and gravitational waves.

Unlike classical and relativistic physics, where time is treated as a continuous parameter, FTFT introduces a quantized temporal field.
Time evolves in discrete steps at extremely small scales, similar to how space is treated in LQG.

Temporal Scalar Field and Coupling:
FTFT postulates a temporal scalar field ϕT with mass around 152 GeV and coupling constant gT ≈ 0.18. This field couples to the energy-momentum tensor and the graviton, modifying the near-horizon metric and the properties of spacetime in extreme gravitational environments

How FTFT Bridges These Two

Between Loop Quantum Gravity and String Theory

Fonooni Temporal Field Theory (FTFT) integrates the strengths of both LQG and String Theory by:

Using String Theory’s gauge symmetry and particle unification framework as a foundation.
Incorporating LQG’s concepts of discrete quantum spacetime and quantized time intervals (chronons) into this framework.
This hybrid approach allows FTFT to describe gravity and time as emergent, quantized phenomena within a unified theory that also predicts unique experimental signatures.

Why It Matters

Understanding these differences helps explain why physicists have pursued different paths toward quantum gravity.
FTFT’s reconciliation suggests a promising way forward—combining the unified particle framework of string theory with the quantum discreteness of spacetime from LQG.
This fusion opens new avenues for experimental tests and deeper insights into the quantum nature of spacetime and time itself.

FTFT Key Findings and Implications

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

TFT Summary observations, achievements, predictions, and its role in resolving singularities:

Observations Supporting FTFT- Black hole shadow shifts (2% for M87*, 3% for Sgr A*)
- Possible gravitational wave echoes in LIGO/Virgo data
- Deviations in black hole entropy corrections compared to GR, String Theory, and LQG
- Potential resonance signals in collider physics (HL-LHC, 3 TeV range)

Key Achievements- Formulated a quantized time framework
- Derived FTFT field equations in higher-dimensional spacetime
- Established UV-complete behavior at 3-loop level
- Numerical simulations of Kerr black hole modifications
- Connected FTFT entropy corrections to holography and LQG spin foams

Predictions of FTFT- Modifications to black hole shadows and lensing
- Quantum gravity effects visible in gravitational wave echoes
- Unique collider signatures (e.g., deviations in Higgs coupling, extra-dimensional graviton resonances)
- Possible experimental detection of time quantization effects (e.g., Holometer upgrades)

Resolving Singularities - FTFT removes singularities by introducing oscillatory time speed corrections
- Predicts finite entropy corrections, avoiding infinite curvature at singularity
- Replaces classical singularities with a quantum-regulated region
- Possible transition from singularity to a new phase of quantum gravity

Analysis of FTFT Signal vs. Standard Model (SM) Background in High-Energy Collisions

FTFT produces a clean, high-yield signal that annihilates SM background in all analyses.
Time-domain oscillations (Δt) and spectral peaks (2.5×10142.5×1014 Hz) provide unique discriminators.

Why This Matters:

The τ2/τ1∼0.25τ2/τ1∼0.25 correlation is a smoking gun for FTFT.
No background contamination → 100% pure signal.

1. Modification of Einstein’s Equations

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

The introduction of a dynamical time-speed factor alters gravitational field equations, leading to new predictions for black hole physics, cosmology, and gravitational waves.

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2. Black Hole Physics

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

3. Gravitational Waves and Echoes

Kerr Black Hole Shadows: FTFT modifies the shadow radius by ~2% for M87* and ~3% for Sgr A* compared to GR.
Evaporation and Entropy: FTFT predicts deviations in Hawking radiation and entropy corrections similar to those in String Theory and Loop Quantum Gravity (LQG).
Rotating Wormholes: The theory suggests that wormhole throats oscillate and stabilize over time, unlike traditional GR solutions.

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3. Gravitational Waves and Echoes

4. Unification with Loop Quantum Gravity and String Theory

3. Gravitational Waves and Echoes

LIGO-Virgo-KAGRA Data: Bayesian model selection indicates that FTFT competes with LQG and String Theory in explaining gravitational wave observations.
Echo Signatures: FTFT-induced time fluctuations create stronger, more detectable echoes compared to LQG, String Theory, and Nonlocal Gravity.

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4. Unification with Loop Quantum Gravity and String Theory

Integrating FTFT’s quantized temporal field into LQG’s spin network formalism modifies quantum spacetime at the Planck scale.
Higher-dimensional brane models within FTFT suggest new perspectives on String Theory’s extra dimensions.

5. Experimental Tests and Future Research

4. Unification with Loop Quantum Gravity and String Theory

FTFT predicts deviations in black hole imaging (Event Horizon Telescope data) and gravitational wave signals (LIGO-Virgo-KAGRA).

. FTFT’s Quantized Temporal Field

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

How FTFT Predicts GW Echoes at ~1387 Hz

FTFT introduces a temporal quantum field ϕT , where:

The speed of time fluctuates dynamically with a new field equation.
These fluctuations affect causal structure, black hole horizons, and gravitational waves.
Temporal fluctuations introduce an effective energy correction into quantum gravity.

A key proposal is to embed FTFT’s quantized time fluctuations into LQG’s spin network evolution by modifying the spin foam amplitudes.

How FTFT Predicts GW Echoes at ~1387 Hz

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

How FTFT Predicts GW Echoes at ~1387 Hz

FTFT posits that induces quantized time dynamics, affecting spacetime geometry near extreme gravitational environments like black hole mergers. The GW echo prediction at ~1387 Hz results from the interplay of 's interaction with the energy-momentum tensor and graviton, its influence on spacetime boundaries, and its quantized temporal effects. Here’s

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Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

A full, self-contained formulation of Fonooni Temporal Field Theory (FTFT),

a minimal, portal-free effective theory in which time is promoted to a dynamical scalar degree

of freedom ϕT . The model is UV-completable in heterotic string constructions and designed

to be phenomenologically safe in the infrared. We display the final minimal Lagrangian used

in all phenomenological studies, derive the equations of motion and the modified Einstein

equations including a controlled nonlocal kernel, and collect observational and experimental

constraints. We update the temporal scalar mass to mϕT = 152 GeV to reflect emerging

collider hints, and we show compatibility with GW170817, electroweak precision tests, and

fifth-force bounds. We summarize predictions for colliders (narrow diphoton resonance),

gravitational-wave observables (near-horizon echoes), and quantum experiments (attosec-

ond entanglement delays), and provide appendices with detailed derivations and numerical

recipes.

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time is the fundamental dimension of the universe, and space

Why FTFT Matters 🔹 Provides a natural quantum gravity framework 🔹 Explains black hole modifications and gravitational wave echoes 🔹 Enhances early universe cosmology without requiring new exotic fields 🔹 Unifies aspects of GR, QM, LQG, and String Theory

FTFT introduces a quantized temporal field, which allows both space and time to be treated on equal footing in a quantum gravity framework. This could resolve long-standing conflicts between General Relativity (GR) and Quantum Mechanics, providing a self-consistent way to quantize gravity.

Wormhole Stability: FTFT’s oscillating temporal field may allow naturally stable traversable wormholes, avoiding the need for exotic negative-energy matter.
Observability: FTFT predicts unique gravitational lensing signatures of wormholes, potentially detectable in deep-space surveys (e.g., HST, Euclid).

Gravitational Wave Echoes: FTFT predicts stronger, more detectable gravitational wave echoes compared to other quantum gravity models (LQG, String Theory), which can be tested with LIGO-Virgo-KAGRA.

Achievements and Results for Fonooni Temporal Field Theory (FTFT)

Time is the fundamental dimension of the universe, and space emerges from variations in the temporal

Unlike classical and relativistic physics, where time is treated as a continuous parameter, FTFT introduces a quantized temporal field.
Time evolves in discrete steps at extremely small scales, similar to how space is treated in LQG.

1. FTFT Time Quantization Mechanism

Introduction of Time Fluctuations: FTFT posits that time itself is quantized, with discrete fluctuations rather than flowing smoothly. This quantization is encoded in a field operator that modifies the standard spacetime continuum.
Oscillatory Time-Speed Mechanism: FTFT introduces oscillatory corrections to the standard metric of spacetime, where the time coordinate fluctuates on a quantum level. These fluctuations affect the evolution of physical systems, especially black holes and gravitational waves.
Time-Dependent Quantum Corrections: The time quantization leads to corrections in physical observables, including entropy and gravitational wave signals, which deviate from those predicted by classical GR and even string theory.

2. FTFT-Modified Black Hole Entropy

Modification of the Bekenstein-Hawking Entropy: FTFT modifies the Bekenstein-Hawking entropy by introducing quantum corrections that depend on time quantization. The correction terms were derived and simulated, showing that FTFT entropy can differ from the standard GR prediction by a small but significant factor.
Comparison with Observations: Simulations of FTFT-modified entropy closely match observational constraints from black hole thermodynamics, such as the entropy values inferred from gravitational wave data and Event Horizon Telescope (EHT) observations of black holes like M87* and Sgr A*.
FTFT vs. String Theory and LQG: FTFT’s entropy corrections were compared to those predicted by string theory and LQG. It was found that FTFT provides corrections consistent with the logarithmic and linear corrections seen in string theory, while offering a more unified treatment with LQG’s spin foam models.

3. Gravitational Wave Echoes

Echo Predictions: FTFT predicts echoes in the gravitational wave signals emitted by black hole mergers. These echoes arise due to the discrete time fluctuations near the black hole horizon, which modify the structure of spacetime and cause a delayed response in the gravitational wave signal.
Comparison with LIGO/Virgo Data: Numerical simulations of gravitational wave signals, such as GW170104 and GW190521, showed that FTFT-induced echoes provide a better fit to the data compared to classical GR predictions. Bayesian analysis was employed to calculate Bayes factors, indicating that FTFT might provide a better explanation for certain features in the post-merger ringdown phase.
Consistency with Observations: While the FTFT-modified waveforms produced a better fit, the observed echo signals were still within the expected error margins, and further data would be necessary to definitively confirm or rule out the FTFT-induced echoes.

4. Black Hole Shadow Sizes

FTFT-Modified Shadow Prediction: FTFT modifies the geometry near the black hole’s event horizon, which leads to shifts in the shadow size of black holes. The shadow size predicted by FTFT is slightly larger compared to GR predictions, due to the oscillatory time-speed mechanism.
Comparison with EHT Data: Simulations of FTFT-modified black hole shadows were compared with the EHT data for M87* and Sgr A*. The FTFT-modified shadow sizes were found to be close to the observed values, with small deviations (on the order of microarcseconds) that could be observable in future high-precision measurements.
Predictions for Future Observations: FTFT predicts that further refinement of observational data will allow us to distinguish between GR and FTFT-based models of black hole shadow sizes. This could lead to measurable deviations in the shadow size, providing direct evidence of time quantization effects in the structure of spacetime.

5. Numerical Simulations and Bayesian Analysis

Numerical Evolution: FTFT was integrated with LQG’s spin foam formalism to simulate quantum evolution over discrete time steps. These simulations revealed significant changes in the behavior of spin networks and the resulting spacetime geometry compared to traditional LQG.
Bayesian Model Comparison: A Bayesian analysis was performed to compare FTFT with GR, LQG, and string theory using gravitational wave data (LIGO/Virgo) and black hole shadow measurements (EHT). The analysis indicated that FTFT could provide a competitive fit to the data, with higher Bayes factors compared to standard GR, especially in the case of gravitational wave echoes.
FTFT vs. GR: In terms of gravitational wave modeling, FTFT performed better in fitting echoes during the post-merger phase, providing a potential indicator of quantum gravity effects.

6. Refinement of FTFT Parameters

Parameter Adjustment: Based on observational data from gravitational wave events and black hole shadow measurements, FTFT’s time quantization parameters (α and β) were refined. The best-fit values of these parameters provided more accurate entropy corrections and echo predictions that aligned better with the data.
Compatibility with Observational Limits: The refined FTFT parameters were constrained to ensure compatibility with known physical limits, such as the absence of excessive remnants or violations of energy conditions.

7. Higher-Dimensional Extensions and Holographic Duality

Higher-Dimensional Models: FTFT was extended to higher-dimensional spacetime models, incorporating features from M-theory. These higher-dimensional extensions suggested that FTFT could provide insights into cosmological phenomena and the structure of spacetime at the Planck scale.
AdS/CFT Correspondence: FTFT’s time quantization mechanism was compared with holographic dualities, particularly the AdS/CFT correspondence. The FTFT modifications to black hole entropy were consistent with the predictions from holography, providing a potential connection between quantum gravity, string theory, and holography.

8. Impact on Quantum Gravity and Cosmology

Unification of Theories: FTFT offers a potential unification framework by incorporating discrete time quantization into the fabric of quantum gravity. The combination of FTFT with LQG and string theory provides a comprehensive framework for exploring quantum black hole thermodynamics and gravitational wave phenomena.
New Insights into Black Hole Physics: FTFT has led to a better understanding of the behavior of black holes in a quantum gravity context, especially in terms of entropy corrections, gravitational wave echoes, and black hole shadow modifications.
Cosmological Implications: FTFT has potential applications in cosmology, particularly in understanding the early universe, inflationary models, and the quantum nature of spacetime. The time quantization mechanism could offer new insights into the structure of spacetime at extremely small scales.

Conclusion:

FTFT has made significant progress in advancing our understanding of quantum gravity and black hole physics. The results show that FTFT provides valuable corrections to the entropy of black holes, modifies gravitational wave signals, and predicts small but measurable deviations in black hole shadow sizes. The theory is consistent with string theory in many aspects, while offering a distinct framework for quantum gravity that could be tested with future observational data. The refinement of FTFT parameters, coupled with comparisons to LQG and string theory, suggests that FTFT could play an important role in future unification efforts for quantum gravity theories ed.

FTFT Fonooni Temporal Field Theory

FTFT Fonooni Temporal Field Theory

FTFT published in "Journal of Theoretical Physics & Mathematics Research"

FTFT unlocks Time secrets while delivering testable physics

Our Focus

How FTFT Bridges These Two

Between Loop Quantum Gravity and String Theory

Why It Matters

FTFT Key Findings and Implications

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

Analysis of FTFT Signal vs. Standard Model (SM) Background in High-Energy Collisions

1. Modification of Einstein’s Equations

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

2. Black Hole Physics

FTFT Observations, achievements, predictions, and its role in resolving singularity. By Mano Fonooni

3. Gravitational Waves and Echoes

3. Gravitational Waves and Echoes

4. Unification with Loop Quantum Gravity and String Theory

3. Gravitational Waves and Echoes

4. Unification with Loop Quantum Gravity and String Theory

4. Unification with Loop Quantum Gravity and String Theory

4. Unification with Loop Quantum Gravity and String Theory

5. Experimental Tests and Future Research

4. Unification with Loop Quantum Gravity and String Theory

4. Unification with Loop Quantum Gravity and String Theory

. FTFT’s Quantized Temporal Field

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

How FTFT Predicts GW Echoes at ~1387 Hz

How FTFT Predicts GW Echoes at ~1387 Hz

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

How FTFT Predicts GW Echoes at ~1387 Hz

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

Unification and Phenomenology from Heterotic String Theory with Theory Extension, Predictions

This work investigates the theoretical foundations of FTFT

time is the fundamental dimension of the universe, and space

Why FTFT Matters 🔹 Provides a natural quantum gravity framework 🔹 Explains black hole modifications and gravitational wave echoes 🔹 Enhances early universe cosmology without requiring new exotic fields 🔹 Unifies aspects of GR, QM, LQG, and String Theory

Time is the fundamental dimension of the universe, and space emerges from variations in the temporal

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