Draft:Chronoentropy: A Model for the Emergence of Time from Entropy and Gravity

• Comment: It is clear that this draft is about your original research. Wikipedia is not for one to publish their essays on experimental ideas which have not been peer reviewed. Please read the policy page on What Wikipedia is Not. WikiAviator ^talk 19:56, 28 March 2025 (UTC)

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Chronoentropy

Chronoentropy is a theoretical framework proposed in 2025 by Vineet Sharma that explores the relationship between time, entropy, and gravity. The term is derived from "Chrono," meaning time, and "Entropy," which is associated with disorder and thermodynamics. The concept aims to extend the principles of black hole thermodynamics, particularly those introduced by Jacob Bekenstein and Stephen Hawking, to describe the emergence of time as a fundamental quantity.

Theoretical Framework

Chronoentropy postulates that information and spacetime are interconnected, proposing that information can be converted into spacetime and vice versa. This idea aligns with principles in black hole physics, where the entropy of a black hole is proportional to the area of its event horizon.

Fundamental Laws

Chronoentropy is based on three primary laws:

1. Information and spacetime are interlinked, meaning that information can transform into spacetime and vice versa.
2. Entropy is directly proportional to spacetime and inversely proportional to gravity.
3. Time remains a fundamental quantity, independent of spacetime interactions.

Mathematical Formulation

According to the second law of Chronoentropy:

S ∝ t/G

Expanding on this relationship:

S = Vt/G

where:

S = Entropy
t = Time
G = Gravitational constant
V = A proportionality constant (Vineet's constant)

This formulation suggests that entropy scales with spacetime volume and inversely with gravitational influence.

Supporting Evidence

Information-Spacetime Interlinkage

The absorption of information by a black hole contributes to an increase in its spacetime curvature and mass. Over time, as the black hole radiates energy through Hawking radiation, the stored information is released, leading to a transformation of spacetime back into energy.

Entropy, Spacetime, and Gravity Relationship

The entropy of a black hole is given by the Bekenstein-Hawking formula:

𝑆 = (𝜋𝐾_𝐵𝐴𝐶³)/4𝐺ℎ

Where,

S = entropy

h = Plank’s constant

G = newtons constant

C = speed of light in vacuum

KB = Boltzmann’s constant where is the horizon area, we express entropy in terms of spacetime volume. Since the event horizon's

radius is related to mass as:

𝐴 ~ 𝑀²

we approximate entropy as:

𝑆 ~ 𝑀²

Since gravitational influence is stronger for larger masses, we generalize:

𝑆 ~ V/G

Time as a Fundamental Quantity

The model suggests that time can exist independently of spacetime interactions, similar to an intrinsic property rather than a derived construct. This perspective aligns with holographic and thermodynamic interpretations of gravity, suggesting that time may emerge from deeper informational principles.

Conclusion

Chronoentropy provides a framework for understanding the emergence of time through entropy and gravity interactions. While aligning with aspects of quantum gravity, black hole thermodynamics, and holography, further research is necessary to derive precise quantum formulations and test the theory in high-energy physics and cosmology.

References

1. Bekenstein, J. D. (1973). "Black holes and entropy." Physical Review D, 7(8), 2333.
2. Hawking, S. W. (1975). "Particle creation by black holes." Communications in Mathematical Physics, 43(3), 199-220.
3. Verlinde, E. (2011). "On the origin of gravity and the laws of Newton." Journal of High Energy Physics, 2011(4), 29.
4. Jacobson, T. (1995). "Thermodynamics of spacetime: The Einstein equation of state." Physical Review Letters, 75(7), 1260.
5. Susskind, L. (1995). "The world as a hologram." Journal of Mathematical Physics, 36(11), 6377-6396.
6. Padmanabhan, T. (2010). "Thermodynamical aspects of gravity: New insights." Reports on Progress in Physics, 73(4), 046901.
7. Penrose, R. (1989). The Emperor’s New Mind: Concerning Computers, Minds, and the Laws of Physics. Oxford University Press.
8. Rovelli, C. (2004). Quantum Gravity. Cambridge University Press.
9. Maldacena, J. (1999). "The large-N limit of superconformal field theories and supergravity." International Journal of Theoretical Physics, 38(4), 1113-1133.
10. Carroll, S. M. (2019). Spacetime and Geometry: An Introduction to General Relativity. Cambridge University Press.

External Links

• [International Journal for multidisciplinary research Chronoentropy Article](https://www.ijfmr.com/research-paper.php?id=40161)