הבעיה של ההסתברות בMWI אין משמעות להסתברות הסתברות שA או...

בעיה של ההסתברות בה MWI

אין משמעות להסתברות

יקרהB או Aהסתברות ש

A

B

0.9

0.1

)(| t

B ו MWI Aב

אין דבר שלא ידועה, הכל , ידוע.

IGNORANCEאין אין אקראיות

הסתברות למה?

A

B

A

B

נוסיף צופה

Schrödinger:

BA |1.0|9.0|

A

BB

COLLAPSEקריסה

B

B ולא Aמאורע אקראי

A

B

A

B

Bohmian Mechanics

Ignorance probability:Bohmian position הצופה לא יודע

Many Worlds (Schrödinger):

A

B

A

B

?הסתברות למה

הצופה לא יודע מה?

MWI: Give up probability

Behavior Principle: We should care about all our successive worlds

in proportion to their measures of existence. 22 |||||: iiWORLDUNIVERSEii Measure of existence of world

I should not play Russian quantum roulette

A

B

0.9

0.1

I should bet 1:9 Get 1 if A, pay 9 if B

Behavior Principle

עקרון התנהגות

לדאוג לעצמו בעולמות הבאים לפי מדת קיום של העולות

MWI: can we, nevertheless, find the probability meaning?

2|| ii as an ignorance probability measure

A

B

A

B

Find somebody who is ignorant about the outcome

0.9

0.1

A

A

B B

Sleeping Pill Experiment

Ignorance probability of the descendents A and B

Vaidman (1998) ISPS

0.9

0.1

AA

B

B

What is the probability that you are in A?

0.9

What is the probability that you are in A?

0.9

0.9

0.1

Only and can give this answerAI BI

AA

B

B

Since all the descendents yield the same answer we can relate it to me before the experiment. I put my bet for the descendents. They have probability. Thus, my bet is for a probabilistic event. This is the ignorance probability meaning of the measure of existence..

What is the probability that you are in A?

0.9

What is the probability that you are in A?

0.9

0.9

0.1

Sleeping Beauty Controversy

Elga: 1/3 Lewis: 1/2

Monday

Tuesday

Fair coin ½ : ½

Beauty, what is your credence for Tails?

Sleeping Beauty Quantumland

MWI: 1/3

Monday

Tuesday

Quantum Fair coin ½ : ½

Beauty, what is your credence for Tails?

H0.5

0.5T

Measure of existence of each world ½ =

Is there a physical meaning of of a present world? 2|| ii

We put “intelligent bet” according to of future worlds2|| ii

Should behave differently than because?

BA 9AI BI

A

B

0.9

0.1

AI

BI

I am from another galaxy. Our technology is 10 million years ahead.

I like betting. Would you like to bet?

A

B

0.9

0.1

AI

BI

A

B

0.9

0.1

Are you ready to bet 1:1 ?

Get 1 if A, pay 1 if B

should say no! The creature can always win.BI

should say yes! I will have at least 6.4 :3.6 odds to win.

AI

I can do to neutron what the creature can do to me

B

0.9

B

A

0.1

A

Neutron interferometer

I can do to neutron what the creature can do to me

B

0.9

B

A

0.1

A

Neutron interferometer

I can do to neutron what the creature can do to me

B

0.9

B

A

0.1

A

Neutron interferometer

0.36

0.64

0.9 0.9

0.9

0.1 0.1

( 0.1 0.1)0.1

( 0.1 0.9)0.3 0.3

0.9 0.1t r

0.9 0.1t r

0.1 0.9t r

0.1 0.9t r

0.9 0.9

0.9

0.1 0.1

( 0.1 0.1)0.1

( 0.1 0.9)0.3 0.3

0.8

0.6

64%

36%

0.9 0.1t r

0.9 0.1t r

0.1 0.9t r

0.1 0.9t r