Why Time doesnot go backwards: Short answer

The Decay Theory Cosmology developed in Africa in 2024 by an independent scholar Harry Mangulenje as a proposal into Quantum mechanics, posits that TIME can be conceptualized as a quantifiable rate of decay, wherein systems exhibit entropic progression from higher to lower energy states. 

This theoretical model, developed by Harry Mangulenje, integrates principles from quantum mechanics and thermodynamics to elucidate the fundamental nature of time and the universe.

The theory proposes that the universe operates within a fluid dynamic of discrete quanta states, emerging and demerging spontaneously under probabilistic guidance. 

As these systems evolve, they undergo decay from higher to lower states, ultimately attaining a logical state that represents the lower profile of their probabilistic nature.

This perspective implies that time serves as a measure of the rate of this procession, quantifying the progression from emergence to de emergence or decay or collapse.

The irreversible nature of time's directionality is underscored by the second law of thermodynamics, which dictates that entropy increases over time.

In this context, the possibility of time travel to the past or to the future is rendered improbable, as systems that undergo decay cannot spontaneously "undecay" or revert to their previous states.

Time travel to the future is also impossible because the future is open probability yet to decay into a single logical definition.

 This is consistent with observations of natural phenomena, which exhibit a universal tendency to migrate from higher to lower energy states, independent of gravitational influences.

The Decay Theory Cosmology offers a novel perspective on the universe, characterizing it as a complex system governed by decay processes. 

By defining time as a rate of decay, this theory provides a framework for understanding the fundamental laws that govern the behavior of physical systems within the universe.

Let's reformulate the Decay Theory Cosmology incorporating mathematical concepts inspired by quantum.

Mathematical Formulation

Rate of decay, denoted as λ (lambda), as a measure of the change in a system's state over time.

 We can represent this using a differential equation:

In the context of the Decay Theory Cosmology, time can be defined as a rate of decay or change. Let's represent this mathematically:

Formula

t ∝ 1/λ

where:

- t is time

- λ (lambda) is the decay rate or rate of change

This formula suggests that time is inversely proportional to the decay rate. As the decay rate increases, time appears to slow down, and as the decay rate decreases, time appears to speed up.

Alternative Representation

Another way to represent time in this context could be:

t = ∫(1/λ)dt

This formula implies that time is the integral of the inverse decay rate over time, providing a more nuanced understanding of the relationship between time and decay.

dλ/dt = -kλ

where k is a constant representing the decay rate coefficient, and t is time.

Entropical Change

The entropical change can be represented as a transition from a high-energy state (H) to a lower energy state (L). 

The probability of being in the high-energy state as P(H) and the probability of being in the lower energy state as P(L). 

The transition probability can be represented as:

P(H → L) = e^(-λt)

where λ is the decay rate, and t is time.

Logical State

The logical state can be represented as the lower profile of the probabilistic state. 

Let's define the logical state as L, and the probability of being in the logical state as P(L). We can represent the relationship between the probabilistic state and the logical state as:

P(L) = 1 - P(H)

Time Measurement

Time can be represented as a measurement of the rate of decay or change.

 Let's define time as t, and the rate of decay as λ. We can represent the relationship between time and the rate of decay as:

t ∝ 1/λ

Implications for Time Travel

Given the Decay Theory Cosmology, time travel to the past would be impossible because the system cannot "undecay" or return to its previous state.

 This is supported by the second law of thermodynamics, which states that entropy always increases over time and doesnot decrease.

Mathematical Representation of Time Travel

Let's represent the attempt to travel back in time as a reversal of the decay process. We can represent this as:

dλ/dt = kλ

Here is the reverse formula that represents the impossibility of backward time and the impossibility of decrease of entropy once it starts to increase.

Formula

ΔS ≥ 0

dS/dt ≥ 0

where:

- ΔS is the change in entropy

- dS/dt is the rate of change of entropy with respect to time

- ≥ represents "greater than or equal to," indicating that entropy either increases or remains constant, but never decreases

This formula captures the second law of thermodynamics, which states that entropy always increases over time in a closed system.

Time's Arrow

OR...

t ≥ 0

dt/dt ≥ 0

where:

- t represents time

- dt/dt represents the rate of change of time with respect to itself, which is always positive or zero, indicating that time moves forward

Combining Entropy and Time

We can combine these concepts to create a single formula that represents the relationship between entropy and time:

dS/dt ≥ 0 ∧ dt/dt ≥ 0

where:

- ∧ represents the logical AND operator, indicating that both conditions must be true

This formula captures the idea that entropy increases over time, and time moves forward, making it impossible for time to go backward and for entropy to decrease once it starts to increase.

However, this equation would imply a negative decay rate, which is not physically meaningful in the context of the Decay Theory Cosmology.