# Probability Mechanics

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## Overview

Probability mechanics is a modified quantum mechanics, and it derives the modifications to physical quantities, including fields that determine whether these quantities are quantum mechanical or deterministic. Essentially, probability mechanics shows how information gets converted into energy through the propagation of probability waves through causal chains. Probability mechanics proves that the universe was not created by intelligence, and it proves that the gravitational field is deterministic and, therefore, not compatible with quantum mechanics.

## Product Details

ISBN-13: 9781948801201 Bookwhip 04/27/2018 54 6.00(w) x 9.00(h) x 0.13(d)

The author Louis Houston was recently a senior research scientist at the Louisiana Accelerator Center at the University of Louisiana at Lafayette, USA and was in academia for twenty-two years. Prior to academia, the author was a research geophysicist for Exxon. He has three degrees, including a PhD in physics from Rice University in Houston, Texas. He is the author of multiple patents and has published four books and many technical papers. He can be reached by email at houston@louisiana.edu

CHAPTER 1

THE DESIGN THEOREM

Definition 1. Design: Concept, purpose, plan, or intention that exists or is thought to exist behind an action, fact or material object.

Definition 2. Product: An object, article or substance that is manufactured based on a design.

Let Ω be the set of all possible products: and qj and -qj. Let -q be the null product. A product p is:

p [member of] Ω [union] {-q}. (1)

Consequently, given any design, d, we can designate the mapping:

d [right arrow] p. (2)

Theorem I.

dd/dt = 0 [??] p = {q, -q}.

If the design is constant, then it yields the specific products q and-q.

Proof. [in the limit of infinitesimal change]

dp/dt = dp/dd dd/dt.

dp/dd > 0: Every design that has products, yields 2 products: p(t) and the negative product

-p(t). This follows from the zero-sum energy rule for the universe. We find that:

dd/dt = 0 [??] dp/dt = 0 [??] p = constant t

There are 2 possibilities:

[1] p = -q.

[2] p = {q, -q}

If [1], then a constant design cannot yield a product. Based on evidence, this is false. Therefore, the true case must be [2].

Corollary 1.1. Contrapositive: p ≠ {q, -q} [??] dd/dt ≠ 0. If there are no specific products, then the design is not constant.

Let the fractional deviation of a design be σ. Then the precision of a design is:

η = 1 - σ. (3)

Let P= the probability that the product exists.

Corollary I.2. Theorem I. is the limit of the following statement: η = P(q, -q).

If the design is constant, then it is persistently in one state. Therefore, the precision of the design is the fractional persistence of the design. Consequently, if b = the fractional persistence of the design, then: b = P.

We want to differentiate between the energy of the design and the energy of the product.

The manifestation energy is not the energy of the product. It is the energy of the design required to yield a product. Therefore:

P = probability that the information of the design gets converted into energy or:

P = P(I [right arrow] E). (4)

Definition 3. Fractional persistence: Let A be the number of all occurrences of patterns. Let F be the number of occurrences of a particular pattern. Then the fractional persistence of a particular pattern is: b = F/A.

From definition 3 and equation (4), we get:

P(I [right arrow] E) = F/A. (5)

Through precision or persistence, we can yield a product from the design. The equation for self-information is:

I = -[log.sub.2]P. (6)

In the limit of definite production of a product, P [right arrow] 1. Therefore, I [right arrow] 0. When the design is precisely known or maximally persistent, it has no information content. At that point the information is completely converted into energy. From (6), we can write:

P = 2-1 (7)

Or

η = b = F/a = 2-1 (8)

Energy is conserved. Consequently, information is equivalent to energy.

Definition 4. Probability modification: Any process such that: P [right arrow] P' and 1 [right arrow] 1'.

Definition 5. Manifestation: The process of yielding a product from a design.

In probability mechanics, we use the term, manifestation for a general probability modification.

This result is consistent with Landauer's principle that it costs energy in order to erase information. Essentially, the information is being converted into energy. When you erase or hide information, there is manifestation. So, if you hide information in a sealed, opaque box, there will be a manifestation. This is also true of forgotten information. There is a famous saying: Those who cannot remember the past are condemned to repeat it. George Santayana (16 December 1863 in Madrid, Spain – 26 September 1952 in Rome, Italy) was a philosopher, essayist, poet and novelist.

CHAPTER 2

RELATIONSHIP TO COMMONLY KNOWN MANIFESTATION PROCESSES

Think about prayers. People constantly repeat prayers. Even though they may not know it, they are just employing persistence in order to manifest. When you repeat information, you increase the probability that the information will be converted into energy. It's as simple as that. Repetition builds up persistence, so if you accumulate enough persistence, the design gets converted into energy. The probability that it gets converted into energy is equal to the fractional persistence. Let's say that you have a doll that represents a specific person. Then that doll is just 3D information. If you poke a pin in the doll, then you injure the information that is the doll and that has an increased probability of getting converted into energy. The energy conversion produces a feeling in the person that the doll represents. The extent to which the energy conversion is felt is proportional to the accuracy of the doll's representation. Or suppose you hide information inside of a box, so that the information virtually disappears. Then when the information disappears, it gets converted into energy. Think about the law of attraction: like attracts like. So if you have a lot of negative thoughts, then the repetition of those negative thoughts manifests negative energy. Alternatively, if you have a lot of positive thoughts, then the repetition of those positive thoughts manifests positive energy. In that way, negative attracts negative and positive attracts positive. All of these scenarios are ways that information gets converted into energy. As in the voodoo case, if you destroy information, rather than repeat it, you do something negative (i.e. negate or destroy) to its real counterpart. This is evidence that elements of black magic are really science. People can use black magic to target individuals. All they need is accurate representations of the individuals. If you have an image or idea of someone in your mind and you think negatively about them, repeatedly, you can cause them harm. You can also hurt yourself this way. In fact, suicide is a manifestation of a design to kill yourself.

Reality is connected through chains of cause and effect. Consequently, a perturbation in one part of reality can, through the propagation of cause and effect, create a disturbance in a remote location. When you alter probability in order to cause a manifestation, you are perturbing a local part of reality in order to affect it elsewhere.

CHAPTER 3

THE THEOREM FOR THE CONVERSION OF INFORMATION INTO ENERGY

Theorem II. There are log2N units of observational energy needed to locate one out of N equally probable symbols.

Proof. Detection of a symbol requires observational energy, [xi]. Let the total set of equally probable symbols be S. Suppose we are looking for the symbol a. The number of distinct symbols is N.

If N=1, we have located a with a cost of zero energy. If N=2, divide S into two subsets containing one element each:

S1 [union] S2 = S, [absolute value of (S1)] = [absolute value of (S2)] = 1.

Observe S1 for a. The cost is [xi].

a [member of] S1 [??] a [not member of] S2, a [not member of] S1 [??] a [member of] S2.

Therefore, if N=2, we can locate a with a cost of [xi].

If N=4, divide S into two subsets containing two elements each:

S1 [union] S2 = S, [absolute value of (S1)] = [absolute value of (S2)] = 2.

Observe S1 for a. The cost is [xi].

a [member of] S1 [??] a [not member of] S2, a [not member of] S1 [??] a [member of] S2.

If εS1, divide S1 into two subsets containing one element each:

S11 [union] S12 = S1, [absolute value of (S11)] = [absolute value of (S12)] = 1.

Observe S11 for a. The cost is [xi].

a [member of] S11 [??] a [not member of] S12, a [not member of] S11 [??] a [member of] S12.

Therefore, if N=4, we can locate a with a cost of 2[xi].

If N=8, divide S into two subsets containing four elements each:

S1 [union] S2 = S, [absolute value of (S1)] = [absolute value of (S2)] = 4.

Observe S1 for a. The cost is [xi].

a [member of] S1 [??] a [not member of] S2, a [not member of] S1 [??] a [member of] S2

If a [member of]S1, divide S1 into two subsets containing two elements each:.

S11 [union] S12 = S1, [absolute value of (S11)] = [absolute value of (S12)] = 2.

Observe S11 for a. The cost is [xi].

a [member of] S11 [??] a [not member of] S12, a [not member of] S11 [??] a [member of] S12.

If a [member of]S11, divide S11 into two subsets containing one element each:

S111 [union] S112 = S11, [absolute value of (S111)] = [absolute value of (S112)] = 1.

Observe S111 for a. The cost is [xi].

a [member of] S111 [??] a [not member of] S112, a [not member of] S111 [??] a [member of] S112.

Therefore, if N=8, we can locate a with a cost of 3[xi].

We can make a table of our results:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]

This inductively correlates to the formula:

E = [xi]log2N.

Proposition 1. E = -[xi]log2P.

When you illuminate the design, you absorb its information. Based on conservation of energy, some of the energy of illumination must equal the energy that the design gets converted into. (Think of exercising to lose weight. The exercise is added energy and when you lose weight, you burn off calories or energy. The more you exercise, the more calories you burn off. Naturally, through conservation of energy, the exercise energy must be equivalent to the calories that you burned off. You might say that it cost energy to burn off those calories or to erase the weight.) Consequently, the critical observational energy is the amount of energy required to manifest the product which is stimulated by a probability wave that propagates along the causal chain between the design and the product. When the design is hard to find because it is hidden, you increase the manifestation energy because this effectively increases the amount of observational energy necessary to "locate" the design. Clearly, the observational energy is dependent on the noise within the background of the design. Since the observational energy must be critically larger than the background noise, we can make the following definition:

[xi] = kT, (9)

where kT is the thermal energy, with k = Boltzmann's constant and T = temperature. Therefore, the manifestation energy is:

E = -kT log2P. (10)

CHAPTER 4

THE ENERGY STATISTICS

Solving for P yields:

P(E) = 2-E/kt. (11)

However, we see that (11) must be modified, since the probability must be normalized over all possible products, we want to alter it such that:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (12)

Let the normalization constant be C:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (13)

Consequently:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (14)

Define Z2 as the base-two partition function:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (15)

Equation (11) then becomes:

P(E) = 2-E/kT/Z2. (16)

This is essentially the Boltzmann's distribution with e [right arrow] 2.

CHAPTER 5

THE PROBABILITY WAVE

The probability wave that propagates along the causal chain between the design and the product and stimulates the manifestation of the product has the form of a free-particle, plane-wave, quantum-mechanical wave function.:

ψ(E, x, t) = [square root of P] exp(i(kx - ωt)), (17)

where k is the wavenumber and ω is the angular frequency We see that it is normalized over the manifestation energy:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (18)

Clearly, (17) satisfies the wave equation:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (19)

The Boltzmann's distribution is simply:

P = ψ * ψ. (20)

This is also the probability yielded by a particular design with precision η. Equation (10) can be now written as:

E = -kT log2 ψ * ψ (21)

The fractional deviation of a design is:

σ = 1 - ψ * ψ. (22)

Since the energy of a wave is proportional to the amplitude squared, clearly, the energy ε, of the probability wave is proportional to P, the probability:

ε(ψ) [varies] ψ * ψ. (23)

Consequently, since P=0 for infinite information, infinite information cannot move because its probability wave has zero energy. Since infinite information does not propagate, it does not radiate. Therefore, infinite information cannot be observed. In addition, according to the third law of thermodynamics, T>0. From this and equation (21), we must conclude that perfectly zero energy and completely infinite information do not actually exist and are only ideal cases (i.e. we are restricted to: P~1 and P~0).

CHAPTER 6

THE MANIFESTATION ENERGY

We can answer the question: What is the manifestation energy from a design containing a bit of information at room temperature?

T = 294K. (24)

For one bit, P = 1/2 and k = 1.38 x 10-23 J/K. Thus:

E(1 bit) = 4 x 10-21 J. (25)

This energy is equivalent to 0.04 electron volts.

Since the brain creates a model of reality from data derived from the senses, when we observe or sense an event, we are actually observing a model or design of the event. From this perspective and the perspective of probability mechanics, we can conclude that when we observe an event, we manifest it. Mental concentration or persistence increases the internal manifestation energy of the design and reduces the external manifestation energy needed to yield the product and reduces the thermal noise, which is equivalent to conceptual inconsistencies. The more conceptual inconsistencies, the more concentration or persistence is needed to manifest a product. We must resolve the inconsistencies in order to consolidate the design. Clearly, the reality that we experience is the one that we have created, either with successful (e.g. with knowledge) or unsuccessful (e.g. with ignorance) manifestations. Successful manifestations generally incorporate relatively high-amplitude probability waves, while unsuccessful manifestations generally incorporate relatively low-amplitude probability waves. However, sometimes, through chance, successful manifestations are able to propagate extremely low-amplitude probability waves. The lower the amplitude of the probability wave, the higher the manifestation energy. Nonetheless, manifestation energy is proportional to thermal noise, so in a more organized, cooler environment, manifestation is less challenging.

We propose that we generally don't completely learn or erase information. We suggest that the probabilities of information are being replaced by conditional probabilities, which can be much higher than the original probabilities. This would allow us to map words into other words, with minimal energy requirements. Consequently, rather than learn the essential meaning of a word or design, we simply map it into an alternative pattern or another word or design. We suggest that this is exactly what computers do. In addition, when people process information very fast, they are typically using mappings with large conditional probabilities. It is difficult to claim that this is a true measure of intelligence. Nonetheless, such processing is generally associated with high levels of intelligence.

(Continues…)

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ACKNOWLEDGEMENTS, vii,
INTRODUCTION, ix,
[1] The Design Theorem, 1,
[2] Relationship to Commonly Known Manifestation Processes, 5,
[3] The Theorem for the Conversion of Information into Energy, 7,
[4] The Energy Statistics, 11,
[5] The Probability Wave, 13,
[6] The Manifestation Energy, 15,
[7] The Connection to the Multiverse, 17,
[8] The Energy of a Probability Wave, 20,
[9] Transformation of Physical Quantities, 22,
[10] The Relationship to Intelligence, 24,
[11] The Manifestation Power, 27,
[12] Other Probability Mechanics Transformations, 29,
[13] Conjugate Universes and Conservation of Information and Energy, 39,
[14] The Many-Worlds Theory, 44,
[15] The Zero-Sum Energy Universe Hypothesis, 46,
[16] Quantum Mechanics, 48,
[17] Self-Information, 49,
[18] Information Theory, 50,
[19] Some Simple Everyday Examples, 52,
[20] Related Works, 57,

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